Shmarev, S. I.
Overview
Works:  4 works in 24 publications in 1 language and 617 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor 
Classifications:  TA347.B69, 515.353 
Publication Timeline
.
Most widely held works by
S. I Shmarev
Energy methods for free boundary problems : applications to nonlinear PDEs and fluid mechanics by
S. N Antont︠s︡ev(
Book
)
11 editions published between 2001 and 2002 in English and held by 192 WorldCat member libraries worldwide
This book is an integrated account of modern developments in energy methods for the study of free boundary problems in partial differential equations. The theory presented has particular relevance to a number of physical applications, including heat conduction, surface and underground water flow, filtration through porous media, flows of nonNewtonian fluids, boundary layers, chemical reactions, and semiconductors. The work is divided into two parts. The first part is an exposition of the methods of several general classes of nonlinear equations and systems. Part two presents applications to the theory. 'Energy Methods for Free Boundary Problems' will appeal to applied mathematicians and graduate students whose research is in partial differential equations, nonlinear analysis, and continuum mechanics. Applications to a number of different problems arising in continuum mechanics (fluid dynamics) are presented making this book of equal interest to physicists and engineers as well
11 editions published between 2001 and 2002 in English and held by 192 WorldCat member libraries worldwide
This book is an integrated account of modern developments in energy methods for the study of free boundary problems in partial differential equations. The theory presented has particular relevance to a number of physical applications, including heat conduction, surface and underground water flow, filtration through porous media, flows of nonNewtonian fluids, boundary layers, chemical reactions, and semiconductors. The work is divided into two parts. The first part is an exposition of the methods of several general classes of nonlinear equations and systems. Part two presents applications to the theory. 'Energy Methods for Free Boundary Problems' will appeal to applied mathematicians and graduate students whose research is in partial differential equations, nonlinear analysis, and continuum mechanics. Applications to a number of different problems arising in continuum mechanics (fluid dynamics) are presented making this book of equal interest to physicists and engineers as well
Energy methods in continuum mechanics : proceedings of the Workshop on Energy Methods for Free Boundary Problems in Continuum
Mechanics, held in Oviedo, Spain, March 2123, 1994 by
S. N Antont︠s︡ev(
Book
)
6 editions published in 1996 in English and held by 67 WorldCat member libraries worldwide
This volume contains the proceedings of the Workshop on Energy Methods for Free Boundary Problems in Continuum Mechanics, held in Oviedo, Spain, 2123 March 1994. It is well known that the conservation laws and the constitutive equations of Continuum Mechanics lead to complicated coupled systems of partial differential equations to which, as a rule, one fails to apply the techniques, such as the maximum principle, usually employed in the studies of scalar uncoupled equations. The study of the qualitative behaviour of solutions of the systems requires different techniques, such as the socalled Energy Methods where the properties of some integral of a nonnegative function of one or several unknowns allow one to arrive at important conclusions on the involved unknowns. This volume presents the state of the art in such a technique. Special attention is paid to the class of Free Boundary Problems. Audience: Researchers, graduate and postgraduate students, and professionals active in physics, engineering and applied mathematics
6 editions published in 1996 in English and held by 67 WorldCat member libraries worldwide
This volume contains the proceedings of the Workshop on Energy Methods for Free Boundary Problems in Continuum Mechanics, held in Oviedo, Spain, 2123 March 1994. It is well known that the conservation laws and the constitutive equations of Continuum Mechanics lead to complicated coupled systems of partial differential equations to which, as a rule, one fails to apply the techniques, such as the maximum principle, usually employed in the studies of scalar uncoupled equations. The study of the qualitative behaviour of solutions of the systems requires different techniques, such as the socalled Energy Methods where the properties of some integral of a nonnegative function of one or several unknowns allow one to arrive at important conclusions on the involved unknowns. This volume presents the state of the art in such a technique. Special attention is paid to the class of Free Boundary Problems. Audience: Researchers, graduate and postgraduate students, and professionals active in physics, engineering and applied mathematics
Evolution PDEs with nonstandard growth conditions existence, uniqueness, localization, blowup by
S. N Antont︠s︡ev(
)
1 edition published in 2015 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 2015 in English and held by 16 WorldCat member libraries worldwide
Evolution PDEs with nonstandard growth conditions : existence, uniqueness, localization, blowup by
S. N Antont︠s︡ev(
Book
)
6 editions published in 2015 in English and held by 16 WorldCat member libraries worldwide
"This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided. The presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blowup, or nonexistence of global in time solutions. Special attention is paid to the study of the properties intrinsic to solutions of equations with nonstandard growth."Publisher's website
6 editions published in 2015 in English and held by 16 WorldCat member libraries worldwide
"This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided. The presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blowup, or nonexistence of global in time solutions. Special attention is paid to the study of the properties intrinsic to solutions of equations with nonstandard growth."Publisher's website
Audience Level
0 

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Related Identities
 Antont︠s︡ev, S. N. (Stanislav Nikolaevich) Author
 Díaz, J. I.
 Díaz, J. I. Editor
 Antontsev, Stanislav Nicolaevitch Author Editor
 Díazm J.I.
 Atlantis Press Publisher
Associated Subjects
Boundary value problems Continuum mechanics Differential equations, Hyperbolic Differential equations, Parabolic Differential equations, Partial Differential equations, PartialNumerical solutions Engineering Fluid mechanicsMathematics Functional analysis Materials Mathematics Mechanics Quasilinearization
Alternative Names
Shmarev, S. 1958
Shmarev, S. I.
Shmarev, S. I. 1958
Shmarev, Sergei.
Shmarev, Sergei I.
Shmarev, Sergei I. 1958
Shmarev, Sergey.
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