Serrin, J. (James) 19262012
Overview
Works:  58 works in 170 publications in 2 languages and 2,122 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, Honoree 
Classifications:  QA377, 515.353 
Publication Timeline
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Most widely held works about
J Serrin
 Selected papers of James Serrin( Book )
 James Serrin : selected papers by J Serrin( Book )
 The Regents' Professors of the University of Minnesota( Book )
 Selected papers by J Serrin( Book )
 James Serrin  Selected Papers by J Serrin( Book )
Most widely held works by
J Serrin
New perspectives in thermodynamics by
J Serrin(
Book
)
13 editions published in 1986 in English and Undetermined and held by 281 WorldCat member libraries worldwide
The material included in this book was first presented in a series of lectures de livered at the University of Minnesota in June 1983 in connection with the con ference "Thermodynamics and Phase Transitions". This conference was one of the principal events in the first year of operation of the Institute for Mathematics and its Applications (lMA) at the University of Minnesota. The Institute was founded under the auspices of the National Science Foun dation of the United States and the University of Minnesota and is devoted to strengthening and fostering the relation of mathematics with its various applica tions to problems of the real world. The present volume constitutes an important element in the continuing pub lication program of the Ipstitute. Previous publications in this program have ap peared as lecture notes in the wellknown Springer series, and future ones will be part of a new series "IMA Volumes in Applied Mathematics". Preface Until recently it was believed that thermodynamics could be given a rigorous foundation only in certain restricted circumstances, particularly those involving reversible and quasistatic processes. More general situations, commonly arising in continuum theories, have therefore been treated on the assumption that inter nal energy, entropy and absolute temperature are a priori given quantities, or have been dealt with on a more or less ad hoc basis, with emphasis for example on various types of variational formulations and maximization rules
13 editions published in 1986 in English and Undetermined and held by 281 WorldCat member libraries worldwide
The material included in this book was first presented in a series of lectures de livered at the University of Minnesota in June 1983 in connection with the con ference "Thermodynamics and Phase Transitions". This conference was one of the principal events in the first year of operation of the Institute for Mathematics and its Applications (lMA) at the University of Minnesota. The Institute was founded under the auspices of the National Science Foun dation of the United States and the University of Minnesota and is devoted to strengthening and fostering the relation of mathematics with its various applica tions to problems of the real world. The present volume constitutes an important element in the continuing pub lication program of the Ipstitute. Previous publications in this program have ap peared as lecture notes in the wellknown Springer series, and future ones will be part of a new series "IMA Volumes in Applied Mathematics". Preface Until recently it was believed that thermodynamics could be given a rigorous foundation only in certain restricted circumstances, particularly those involving reversible and quasistatic processes. More general situations, commonly arising in continuum theories, have therefore been treated on the assumption that inter nal energy, entropy and absolute temperature are a priori given quantities, or have been dealt with on a more or less ad hoc basis, with emphasis for example on various types of variational formulations and maximization rules
The maximum principle by
Patrizia Pucci(
Book
)
20 editions published in 2007 in English and held by 204 WorldCat member libraries worldwide
"Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remarkable number of subtle uses when combined appropriately with other notions. Intended for a wide audience, the book provides a clear and comprehensive explanation of the various maximum principles available in elliptic theory, from their beginning for linear equations to recent work on nonlinear and singular equations."Jacket
20 editions published in 2007 in English and held by 204 WorldCat member libraries worldwide
"Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remarkable number of subtle uses when combined appropriately with other notions. Intended for a wide audience, the book provides a clear and comprehensive explanation of the various maximum principles available in elliptic theory, from their beginning for linear equations to recent work on nonlinear and singular equations."Jacket
Nonlinear diffusion equations and their equilibrium states : proceedings of a microprogram held August 25September 12, 1986 by
W.M Ni(
Book
)
11 editions published in 1988 in English and held by 199 WorldCat member libraries worldwide
11 editions published in 1988 in English and held by 199 WorldCat member libraries worldwide
Selected works of Eberhard Hopf : with commentaries by
Eberhard Hopf(
Book
)
5 editions published in 2002 in English and held by 136 WorldCat member libraries worldwide
5 editions published in 2002 in English and held by 136 WorldCat member libraries worldwide
Nonlinear analysis and continuum mechanics : papers for the 65th birthday of James Serrin(
Book
)
3 editions published in 1998 in English and held by 135 WorldCat member libraries worldwide
The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes: First, to honor James Serrin, in whose work the four fields frequently interacted; and second, to bring together work in fields that are usually pursued independently but that remain remarkably interrelated. Serrin's contributions to mathematical analysis and its applications are fundamental and include such theorems and methods as the Gilbarg Serrin theorem on isoated singularities, the Serrin symmetry theorem, the AlexandrovSerrin movingplane technique, The PeletierSerrin uniqueness theorem, and the Serrin integal of the calculus of variations. Serrin has also been noted for the elegance of his mathematical work and for the effectiveness of his teaching and collaborations
3 editions published in 1998 in English and held by 135 WorldCat member libraries worldwide
The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes: First, to honor James Serrin, in whose work the four fields frequently interacted; and second, to bring together work in fields that are usually pursued independently but that remain remarkably interrelated. Serrin's contributions to mathematical analysis and its applications are fundamental and include such theorems and methods as the Gilbarg Serrin theorem on isoated singularities, the Serrin symmetry theorem, the AlexandrovSerrin movingplane technique, The PeletierSerrin uniqueness theorem, and the Serrin integal of the calculus of variations. Serrin has also been noted for the elegance of his mathematical work and for the effectiveness of his teaching and collaborations
Recent trends in nonlinear partial differential equations : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear
partial differential equations, May 28June 1, 2012, University of Perugia, Perugia, Italy by Workshop on Nonlinear Partial Differential Equations(
Book
)
13 editions published in 2013 in English and held by 107 WorldCat member libraries worldwide
13 editions published in 2013 in English and held by 107 WorldCat member libraries worldwide
The Breadth and depth of continuum mechanics : a collection of papers dedicated to J.L. Ericksen on his sixtieth birthday by
C. M Dafermos(
Book
)
3 editions published in 1986 in English and held by 95 WorldCat member libraries worldwide
This volume collects papers dedicated to Jerry Ericksen on his sixtieth birthday, December 20, 1984. They first appeared in Volumes 8290 (19831985) of the Archive for Rational Mechanics and Analysis. At the request of the Editors the list of authors to be invited was drawn up by C.M. Dafermos, D.D. Joseph, and F.M. Leslie. The breadth and depth of the works here reprinted reflect the corresponding qualities in Jerry Ericksen's research, teaching, scholarship, and inspiration. His interests and expertness center upon the mechanics of materials and extend to everything that may contribute to it: pure analysis, algebra, geometry, through all aspects of theoretical mechanics to fundamental experiment, all of these illumi nated by an intimate and deep familiarity with the sources, even very old ones. He is independent of school and contemptuous of party spirit; his generosity in giving away his ideas is renowned, but not everyone is capable of accepting what is offered. His writings are totally free of broad claims and attributions beyond his own study. Some are decisive, some are prophetic, and all are forthright. His work has served as a beacon of insight and simple honesty in an age of ever more trivial and corrupt science. The authors of the memoirs in this volume are his students, colleagues, admirers, and (above all) his friends
3 editions published in 1986 in English and held by 95 WorldCat member libraries worldwide
This volume collects papers dedicated to Jerry Ericksen on his sixtieth birthday, December 20, 1984. They first appeared in Volumes 8290 (19831985) of the Archive for Rational Mechanics and Analysis. At the request of the Editors the list of authors to be invited was drawn up by C.M. Dafermos, D.D. Joseph, and F.M. Leslie. The breadth and depth of the works here reprinted reflect the corresponding qualities in Jerry Ericksen's research, teaching, scholarship, and inspiration. His interests and expertness center upon the mechanics of materials and extend to everything that may contribute to it: pure analysis, algebra, geometry, through all aspects of theoretical mechanics to fundamental experiment, all of these illumi nated by an intimate and deep familiarity with the sources, even very old ones. He is independent of school and contemptuous of party spirit; his generosity in giving away his ideas is renowned, but not everyone is capable of accepting what is offered. His writings are totally free of broad claims and attributions beyond his own study. Some are decisive, some are prophetic, and all are forthright. His work has served as a beacon of insight and simple honesty in an age of ever more trivial and corrupt science. The authors of the memoirs in this volume are his students, colleagues, admirers, and (above all) his friends
Analysis and thermomechanics : a collection of papers dedicated to W. Noll on his sixtieth birthday by Bernard D Coleman(
Book
)
8 editions published in 1987 in English and held by 72 WorldCat member libraries worldwide
This book presents a collection of papers giving the flavor of current research activities in continuum mechanics, fluid mechanics, thermodynamics and the mathematical analysis related to these topics. Written by leading experts in the field, all the papers in this collection have been carefully refereed according to the standards of the "Archive for Rational Mechanics and Analysis."
8 editions published in 1987 in English and held by 72 WorldCat member libraries worldwide
This book presents a collection of papers giving the flavor of current research activities in continuum mechanics, fluid mechanics, thermodynamics and the mathematical analysis related to these topics. Written by leading experts in the field, all the papers in this collection have been carefully refereed according to the standards of the "Archive for Rational Mechanics and Analysis."
Foundations of classical thermodynamics by
J Serrin(
Book
)
4 editions published in 1975 in English and held by 41 WorldCat member libraries worldwide
4 editions published in 1975 in English and held by 41 WorldCat member libraries worldwide
Nonlinear diffusion equations and their equilibrium states II : proceedings of a microprogram held August 25  September 12,
1986 by
W.M Ni(
Book
)
6 editions published in 1988 in English and held by 17 WorldCat member libraries worldwide
In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = ~U + f(u). Here ~ denotes the ndimensional Laplacian, the solution u = u(x, t) is defined over some spacetime domain of the form n x [O, T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its timeindependent counterpart, the elliptic equation of equilibrium ~u+f(u)=O. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the LendEmden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution
6 editions published in 1988 in English and held by 17 WorldCat member libraries worldwide
In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = ~U + f(u). Here ~ denotes the ndimensional Laplacian, the solution u = u(x, t) is defined over some spacetime domain of the form n x [O, T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its timeindependent counterpart, the elliptic equation of equilibrium ~u+f(u)=O. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the LendEmden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution
Recent trends in nonlinear partial differential equations. workshop in honor of Patrizia Pucci's 60th birthday nonlinear partial
differential equations, May 28June 1, 2012, University of Perugia, Perugia, Italy by Workshop on Nonlinear Partial Differential Equations(
Book
)
8 editions published in 2013 in English and held by 15 WorldCat member libraries worldwide
8 editions published in 2013 in English and held by 15 WorldCat member libraries worldwide
Nonlinear diffusion equations and their equilibrium states I : proceedings of a microprogram held August 25  September 12,
1986 by
W.M Ni(
Book
)
5 editions published in 1988 in English and Italian and held by 14 WorldCat member libraries worldwide
In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = D.u + f(u). Here D. denotes the ndimensional Laplacian, the solution u = u(x, t) is defined over some spacetime domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its timeindependent counterpart, the elliptic equation of equilibrium D.u + f(u) = o. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the LendEmden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution
5 editions published in 1988 in English and Italian and held by 14 WorldCat member libraries worldwide
In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = D.u + f(u). Here D. denotes the ndimensional Laplacian, the solution u = u(x, t) is defined over some spacetime domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its timeindependent counterpart, the elliptic equation of equilibrium D.u + f(u) = o. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the LendEmden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution
The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables by
J Serrin(
Book
)
4 editions published in 1969 in English and Undetermined and held by 6 WorldCat member libraries worldwide
4 editions published in 1969 in English and Undetermined and held by 6 WorldCat member libraries worldwide
Mathematical aspects of boundary layer theory by
J Serrin(
Book
)
3 editions published in 1962 in English and held by 6 WorldCat member libraries worldwide
3 editions published in 1962 in English and held by 6 WorldCat member libraries worldwide
The swirling vortex by
J Serrin(
Book
)
2 editions published in 1972 in Undetermined and English and held by 6 WorldCat member libraries worldwide
2 editions published in 1972 in Undetermined and English and held by 6 WorldCat member libraries worldwide
The problem of dirichlet for quasilinear elliptic differential equations with many independent variables by
J Serrin(
Book
)
2 editions published in 1969 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1969 in English and held by 5 WorldCat member libraries worldwide
Notes on hydrodynamics by
J Serrin(
Book
)
in English and held by 4 WorldCat member libraries worldwide
in English and held by 4 WorldCat member libraries worldwide
James Serrin. selected papers by
J Serrin(
Book
)
3 editions published in 2014 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 2014 in English and held by 3 WorldCat member libraries worldwide
Dynamic Changes of Phase in a Van Der Waals Fluid by
Mathematics Research Center (United States. Army)(
Book
)
3 editions published in 1984 in English and held by 3 WorldCat member libraries worldwide
This paper gives sufficient conditions to guarantee the existence of a shock layer solution connecting two different equilibrium states in a van der Waals fluid. In particular, the equilibrium states can belong to two different phases of the fluid. The constitutive laws come from a modified Korteweg theory which is compatible with the Clausius Duhem inequality. The Clausius Duhem inequality in turn gives rise to a Liapunov function. The main mathematical tool is the LaSalle invariance principle. (Author)
3 editions published in 1984 in English and held by 3 WorldCat member libraries worldwide
This paper gives sufficient conditions to guarantee the existence of a shock layer solution connecting two different equilibrium states in a van der Waals fluid. In particular, the equilibrium states can belong to two different phases of the fluid. The constitutive laws come from a modified Korteweg theory which is compatible with the Clausius Duhem inequality. The Clausius Duhem inequality in turn gives rise to a Liapunov function. The main mathematical tool is the LaSalle invariance principle. (Author)
James Serrin  Selected Papers by
J Serrin(
Book
)
3 editions published in 2014 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 2014 in English and held by 3 WorldCat member libraries worldwide
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Related Identities
 Pucci, Patrizia Honoree Author Editor
 Peletier, L. A. (Lambertus A.) Author Editor
 Ni, W.M (WeiMing) Author Editor
 Buttazzo, Giuseppe
 Rădulescu, Vicenţiu D. 1958 Editor
 Truesdell, C. (Clifford) 19192000
 Mitidieri, Enzo Editor
 Sinaĭ, I︠A︡. G. (I︠A︡kov Grigorʹevich) 1935 Editor
 Morawetz, Cathleen S. Editor
 Feinberg, M. (Martin) 1942 Editor
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Associated Subjects
Amundson, Neal R.(Neal Russell), Argento, Dominick Aris, Rutherford Beck, Robert H.(Robert Holmes) Borchert, John R Boundary layer Chipman, John Somerset, Comstock, Ralph E Continuum mechanics Dagley, Stanley Differential equations, Elliptic Differential equations, Nonlinear Differential equations, Parabolic Differential equations, Partial DiffusionMathematical models Eckert, E. R. G.(Ernst Rudolf Georg), Ergodic theory Ericksen, J. L.(Jerald L.), Fluid dynamics Fluid mechanics Good, Robert A., Gorham, Eville Heller, Walter W Hurwicz, Leonid Hydrodynamics Jones, Tom B.(Tom Bard), MacKenzie, Warren Markus, L.(Lawrence), Mathematical analysis Mathematical physics Mathematics Maximum principles (Mathematics) Mechanics, Analytic Meehl, Paul E.(Paul Everett), Najarian, John S., Ney, Edward Purdy, Nier, Alfred O.(Alfred Otto), Noll, W.(Walter), Nonlinear theories Physics Potential theory (Mathematics) Serrin, J.(James), Spink, Wesley W.(Wesley William), Thermodynamics Turner, John E.(John Elliot), Universities and collegesFaculty University of Minnesota Vortexmotion White, James G Wright, H. E.(Herbert Edgar),
Alternative Names
James Serrin American mathematician
James Serrin Amerikaans wiskundige (19262012)
James Serrin amerikansk matematikar
James Serrin amerikansk matematiker
James Serrin USamerikanischer Mathematiker
Serin, Dž 19262012
Serin, James 19262012
Serrin, Dž.
Serrin, ǅ. 19262012
Serrin, J.
Serrin, J. 1926
Serrin, J. 19262012
Serrin, J. (James), 1926
Serrin, James
Serrin, James 19262012
Serrin James B.
Serrin, James B. 19262012
Serrin, James Burton
Serrin, James Burton 19262012
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