Díaz, J. I.
Overview
Works:  51 works in 161 publications in 6 languages and 2,239 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor 
Classifications:  QE33.2.M3, 515.353 
Publication Timeline
.
Most widely held works by
J. I Díaz
Earth sciences and mathematics
by
Antonio G Camacho(
)
17 editions published between 2008 and 2009 in English and held by 441 WorldCat member libraries worldwide
A Complutense International Seminar on 'Earth Sciences and Mathematics' was organised and held in Madrid at the Facultad de Ciencias Matematicas of the Universidad Complutense de Madrid in September 2006. This title contains papers addressing different topics as analysis of InSAR time series, and fuzzy classification for remote sensing
17 editions published between 2008 and 2009 in English and held by 441 WorldCat member libraries worldwide
A Complutense International Seminar on 'Earth Sciences and Mathematics' was organised and held in Madrid at the Facultad de Ciencias Matematicas of the Universidad Complutense de Madrid in September 2006. This title contains papers addressing different topics as analysis of InSAR time series, and fuzzy classification for remote sensing
Earth sciences and mathematics
(
)
5 editions published in 2009 in English and held by 299 WorldCat member libraries worldwide
5 editions published in 2009 in English and held by 299 WorldCat member libraries worldwide
Contributions to nonlinear partial differential equations
by
C Bardos(
Book
)
8 editions published between 1983 and 1987 in English and held by 216 WorldCat member libraries worldwide
8 editions published between 1983 and 1987 in English and held by 216 WorldCat member libraries worldwide
Nonlinear partial differential equations and free boundaries
by
J. I Díaz(
Book
)
9 editions published between 1985 and 1987 in English and held by 214 WorldCat member libraries worldwide
In this Research Note the author brings together the body of known work and presents many recent results relating to nonlinear partial differential equations that give rise to a free boundaryusually the boundary of the set where the solution vanishes identically. The formation of such a boundary depends on an adequate balance between two of the terms of the equation that represent the particular characteristics of the phenomenon under consideration: diffusion, absorption, convection, evolution etc. These balances do not occur in the case of a linear equation or an arbitrary nonlinear equation. Their characterization is studied for several classes of nonlinear equations relating to applications such as chemical reactions, nonNewtonian fluids, flow through porous media and biological populations. In this first volume, the free boundary for nonlinear elliptic equations is discussed. A second volume dealing with parabolic and hyperbolic equations is in preparation
9 editions published between 1985 and 1987 in English and held by 214 WorldCat member libraries worldwide
In this Research Note the author brings together the body of known work and presents many recent results relating to nonlinear partial differential equations that give rise to a free boundaryusually the boundary of the set where the solution vanishes identically. The formation of such a boundary depends on an adequate balance between two of the terms of the equation that represent the particular characteristics of the phenomenon under consideration: diffusion, absorption, convection, evolution etc. These balances do not occur in the case of a linear equation or an arbitrary nonlinear equation. Their characterization is studied for several classes of nonlinear equations relating to applications such as chemical reactions, nonNewtonian fluids, flow through porous media and biological populations. In this first volume, the free boundary for nonlinear elliptic equations is discussed. A second volume dealing with parabolic and hyperbolic equations is in preparation
Energy methods for free boundary problems : applications to nonlinear PDEs and fluid mechanics
by
S. N Antont︠s︡ev(
Book
)
9 editions published between 2001 and 2002 in English and held by 206 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
9 editions published between 2001 and 2002 in English and held by 206 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
Free boundary problems : theory and applications
(
Book
)
10 editions published in 1995 in English and held by 165 WorldCat member libraries worldwide
10 editions published in 1995 in English and held by 165 WorldCat member libraries worldwide
The mathematics of models for climatology and environment
by
J. I Díaz(
Book
)
11 editions published between 1996 and 1997 in English and Polish and held by 146 WorldCat member libraries worldwide
11 editions published between 1996 and 1997 in English and Polish and held by 146 WorldCat member libraries worldwide
Ocean circulation and pollution control : a mathematical and numerical investigation : a Diderot Mathematical Forum
by
J. I Díaz(
Book
)
6 editions published between 2004 and 2013 in English and German and held by 131 WorldCat member libraries worldwide
In the framework of the Diderot Mathematical Forum (DMF) of the European Mathematical Society (EMS), December 1920, 1997, a Videoconference was held linking three teams of specialists in Amsterdam, Madrid and Venice respectively. The general subject of this videoconference, the second one of the DMF series, was Mathematics and Environment and more specifically, Problems related to Water. This volume contains the texts of the Madrid site contributions with important, new and unpublished, examples on the modeling, mathematical and numerical analysis and treatment of the associated control problems of relevant questions arising in Oceanography and Environment
6 editions published between 2004 and 2013 in English and German and held by 131 WorldCat member libraries worldwide
In the framework of the Diderot Mathematical Forum (DMF) of the European Mathematical Society (EMS), December 1920, 1997, a Videoconference was held linking three teams of specialists in Amsterdam, Madrid and Venice respectively. The general subject of this videoconference, the second one of the DMF series, was Mathematics and Environment and more specifically, Problems related to Water. This volume contains the texts of the Madrid site contributions with important, new and unpublished, examples on the modeling, mathematical and numerical analysis and treatment of the associated control problems of relevant questions arising in Oceanography and Environment
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
)
4 editions published in 1996 in English and held by 89 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
4 editions published in 1996 in English and held by 89 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
Mathematics, climate and environment
(
Book
)
8 editions published in 1993 in English and French and held by 76 WorldCat member libraries worldwide
8 editions published in 1993 in English and French and held by 76 WorldCat member libraries worldwide
Environment, economics and their mathematical models
(
Book
)
7 editions published in 1994 in English and held by 75 WorldCat member libraries worldwide
7 editions published in 1994 in English and held by 75 WorldCat member libraries worldwide
Contributions to nonlinear partial differential equations : volume II
(
Book
)
4 editions published in 1987 in English and Multiple languages and held by 54 WorldCat member libraries worldwide
4 editions published in 1987 in English and Multiple languages and held by 54 WorldCat member libraries worldwide
Nonlinear partial differential equations and free boundaries
by
J. I Díaz(
Book
)
13 editions published in 1985 in English and held by 39 WorldCat member libraries worldwide
13 editions published in 1985 in English and held by 39 WorldCat member libraries worldwide
Existence and uniqueness of solutions to the Boussinesq system with nonlinear thermal diffusion
by
J. I Díaz(
Book
)
2 editions published in 1997 in English and held by 13 WorldCat member libraries worldwide
Abstract: "The Boussinesq system arises in Fluid Mechanics when motion is governed by density gradients caused by temperature or concentration differences. In the former case, and when thermodynamical coefficients are regarded as temperature dependent, the system consists of the NavierStokes equations and the non linear heat equation coupled through the viscosity, bouyancy and convective terms. According to the balance between specific heat and thermal conductivity the diffusion term in the heat equation may lead to a singular or degenerate parabolic equation. In this paper we prove the existence of solutions of the general problem as well as the uniqueness of solutions when the spatial dimension is two."
2 editions published in 1997 in English and held by 13 WorldCat member libraries worldwide
Abstract: "The Boussinesq system arises in Fluid Mechanics when motion is governed by density gradients caused by temperature or concentration differences. In the former case, and when thermodynamical coefficients are regarded as temperature dependent, the system consists of the NavierStokes equations and the non linear heat equation coupled through the viscosity, bouyancy and convective terms. According to the balance between specific heat and thermal conductivity the diffusion term in the heat equation may lead to a singular or degenerate parabolic equation. In this paper we prove the existence of solutions of the general problem as well as the uniqueness of solutions when the spatial dimension is two."
Elliptic equations
by
J. I Díaz(
Book
)
1 edition published in 1985 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 7 WorldCat member libraries worldwide
On a quasilinear degenerated system arising in semiconductors theory
by
J. I Díaz(
Book
)
2 editions published in 1997 in English and held by 7 WorldCat member libraries worldwide
Abstract: "A driftdiffusion model for semiconductors with nonlinear diffusion is considered. The model consists of two quasilinear degenerated parabolic equations for the carrier densities and the Poisson equation for the electric potential. We also assume Lipschitz continuous non linearities in the drift and generationrecombination terms. Existence of weak solutions is proven by using a regularization technique. Uniqueness of solutions is proven when either the diffusion term [phi] is strictly increasing and solutions have spatial derivatives in L¹(Q[subscript T]) or when [phi] is non decreasing and a suitable entropy condition is fulfilled by the electric potential."
2 editions published in 1997 in English and held by 7 WorldCat member libraries worldwide
Abstract: "A driftdiffusion model for semiconductors with nonlinear diffusion is considered. The model consists of two quasilinear degenerated parabolic equations for the carrier densities and the Poisson equation for the electric potential. We also assume Lipschitz continuous non linearities in the drift and generationrecombination terms. Existence of weak solutions is proven by using a regularization technique. Uniqueness of solutions is proven when either the diffusion term [phi] is strictly increasing and solutions have spatial derivatives in L¹(Q[subscript T]) or when [phi] is non decreasing and a suitable entropy condition is fulfilled by the electric potential."
Convexity and starshapedness of level sets for some nonlinear parabolic problems
by
J. I Díaz(
Book
)
3 editions published between 1986 and 1987 in German and English and held by 5 WorldCat member libraries worldwide
3 editions published between 1986 and 1987 in German and English and held by 5 WorldCat member libraries worldwide
Modelos matemáticos en física de plasmas
(
Book
)
3 editions published in 1995 in Spanish and held by 5 WorldCat member libraries worldwide
3 editions published in 1995 in Spanish and held by 5 WorldCat member libraries worldwide
Contributions to nonlinear partial differential equations
by FrancoSpanish Colloquium on Nonlinear Partial Differential Equations(
Book
)
4 editions published in 1987 in English and held by 5 WorldCat member libraries worldwide
4 editions published in 1987 in English and held by 5 WorldCat member libraries worldwide
Contributions to nonlinear partial differential equations
(
Book
)
1 edition published in 1987 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 4 WorldCat member libraries worldwide
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Related Identities
 Camacho, Antonio G. Author Editor
 Fernández, José (Fernández Torres) Editor
 Fernandez, Jose
 Shmarev, S. I. Editor
 Antont︠s︡ev, S. N. (Stanislav Nikolaevich) Author
 Lions, P. L. (PierreLouis) Editor
 Bardos, C. (Claude) 1940 Editor
 Lions, Jacques Louis Editor
 North Atlantic Treaty Organization Scientific Affairs Division Editor
 Advanced Study Institute on the Mathematics of Models for Climatology and Environment. <1995, Puerto de la Cruz>
Associated Subjects
Atmospheric physicsMathematical models Boundary value problems Climatic changesMathematical models ClimatologyMathematical models Continuum mechanics Differential equations, Elliptic Differential equations, Nonlinear Differential equations, Parabolic Differential equations, Partial Differential equations, PartialNumerical solutions Diffusion Earth sciences Earth sciencesMathematics Earth sciencesStatistical methods Engineering Environmental economicsMathematical models Environmental policyMathematical models Environmental sciences Existence theorems Fluid mechanicsMathematics Functional analysis Geography Geology GeologyMathematics HeatConvection Heat equation Marine pollutionMathematical models Materials Mathematics Mechanics Nonlinear operators Numerical analysis Oceanatmosphere interactionMathematical models Ocean circulationMathematical models Oceanography Plasma (Ionized gases)Mathematical models Science SemiconductorsDiffusion Surfaces, AlgebraicDegenerations