Nonlinear Diffusion Equations And Their Equilibrium States 3

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Nonlinear Diffusion Equations And Their Equilibrium States 3

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Author : N.G Lloyd
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Diffusion Equations And Their Equilibrium States 3 written by N.G Lloyd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn damental questions concern the existence, uniqueness and regularity of so lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.

Nonlinear Diffusion Equations And Their Equilibrium States 3

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Author : N.G Lloyd
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-06-01

Nonlinear Diffusion Equations And Their Equilibrium States 3 written by N.G Lloyd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-01 with Mathematics categories.

Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn damental questions concern the existence, uniqueness and regularity of so lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.

Nonlinear Diffusion Equations And Their Equilibrium States 3

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Author : N. G. Lloyd
language : en
Publisher: Birkhauser
Release Date : 1992-01-01

Nonlinear Diffusion Equations And Their Equilibrium States 3 written by N. G. Lloyd and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Differential equations, Nonlinear categories.

Handbook Of Differential Equations Evolutionary Equations

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Author : C.M. Dafermos
language : en
Publisher: Elsevier
Release Date : 2004-08-24

Handbook Of Differential Equations Evolutionary Equations written by C.M. Dafermos and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-24 with Mathematics categories.

This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous,and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimatesA.Bressan: The front tracking method for systems of conservation lawsE.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations;L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systemsA.Lunardi: Nonlinear parabolic equations and systemsD.Serre:L1-stability of nonlinear waves in scalar conservation laws B.Perthame:Kinetic formulations of parabolic and hyperbolic PDE's: from theory to numerics

Inverse Problems In Diffusion Processes

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Author : Heinz W. Engl
language : en
Publisher: SIAM
Release Date : 1995-01-01

Inverse Problems In Diffusion Processes written by Heinz W. Engl and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.

This collection of expository papers encompasses both the theoretical and physical application side of inverse problems in diffusion processes.

World Congress Of Nonlinear Analysts 92

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Author : V. Lakshmikantham
language : en
Publisher: Walter de Gruyter
Release Date : 2011-11-14

World Congress Of Nonlinear Analysts 92 written by V. Lakshmikantham and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-14 with Mathematics categories.

No detailed description available for "World Congress of Nonlinear Analysts '92".

Classification Of Radial Solutions Arising In The Study Of Thermal Structures With Thermal Equilibrium Or No Flux At The Boundary

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Author : Alfonso Castro
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Classification Of Radial Solutions Arising In The Study Of Thermal Structures With Thermal Equilibrium Or No Flux At The Boundary written by Alfonso Castro and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

The authors provide a complete classification of the radial solutions to a class of reaction diffusion equations arising in the study of thermal structures such as plasmas with thermal equilibrium or no flux at the boundary. In particular, their study includes rapidly growing nonlinearities, that is, those where an exponent exceeds the critical exponent. They describe the corresponding bifurcation diagrams and determine existence and uniqueness of ground states, which play a central role in characterizing those diagrams. They also provide information on the stability-unstability of the radial steady states.

Free Boundary Problems

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Author : J I Diaz
language : en
Publisher: CRC Press
Release Date : 1995-04-04

Free Boundary Problems written by J I Diaz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-04 with Mathematics categories.

This research note consists of selected contributions from the 1993 International Conference on "Free Boundary Problems: Theory and Applications." These represent coherent and high-level research in the field of free boundary problems. Topics include mean curvature flows, phase transitions and material sciences, fluid mechanics and combustion problems.

Singularities Of Solutions Of Second Order Quasilinear Equations

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Author : Laurent Veron
language : en
Publisher: CRC Press
Release Date : 1996-08-01

Singularities Of Solutions Of Second Order Quasilinear Equations written by Laurent Veron and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-01 with Mathematics categories.

This text examines the singularity problem for solutions of elliptic and parabolic quasilinear equations of second order.

The Analysis Of Harmonic Maps And Their Heat Flows

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Author : Fanghua Lin
language : en
Publisher: World Scientific
Release Date : 2008-05-23

The Analysis Of Harmonic Maps And Their Heat Flows written by Fanghua Lin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-23 with Mathematics categories.

This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by Simon and Lin. The second part of the book contains a systematic coverage of heat flow of harmonic maps that includes Eells-Sampson's theorem on global smooth solutions, Struwe's almost regular solutions in dimension two, Sacks-Uhlenbeck's blow-up analysis in dimension two, Chen-Struwe's existence theorem on partially smooth solutions, and blow-up analysis in higher dimensions by Lin and Wang.The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric partial differential equations and geometric analysis.