Parabolic Equations With Irregular Data And Related Issues

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Parabolic Equations With Irregular Data And Related Issues

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Author : Claude Le Bris
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-06-17

Parabolic Equations With Irregular Data And Related Issues written by Claude Le Bris and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-17 with Mathematics categories.

This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.

Parabolic Partial Differential Equations With Irregular Data Related Issues Application To Stochastic Differential Equations

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Author : Claude Le Bris
language : en
Publisher:
Release Date : 2015

Parabolic Partial Differential Equations With Irregular Data Related Issues Application To Stochastic Differential Equations written by Claude Le Bris and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.

"We study the existence and the uniqueness of the solution to parabolic type equations with irregular coefficients and/or initial conditions. The coefficients considered in the equation typically belong to Lebesgue or Sobolev spaces, the initial condition may be only Lebesgue integrable, the second order term in the equation may be degenerate. The arguments elaborate on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations. The connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation is examined. We in particular follow up on two previous articles. These notes, written up jointly by the two authors, lay out the background on the various issues and present the recent results obtained by the second author. They are an expanded version of the lectures delivered at Collège de France during the academic year 2012-13." [résumé de la page de titre].

Parabolic Equations With Irregular Data And Related Issues

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Author : Claude Le Bris
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-06-17

Parabolic Equations With Irregular Data And Related Issues written by Claude Le Bris and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-17 with Mathematics categories.

This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.

Second Order Parabolic Differential Equations

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Author : Gary M Lieberman
language : en
Publisher: World Scientific
Release Date : 1996-11-06

Second Order Parabolic Differential Equations written by Gary M Lieberman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-06 with Mathematics categories.

This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems. It studies the existence, uniqueness, and regularity of solutions to a variety of problems with Dirichlet boundary conditions and general linear and nonlinear boundary conditions by means of a priori estimates. The first seven chapters give a description of the linear theory and are suitable for a graduate course on partial differential equations. The last eight chapters cover the nonlinear theory for smooth solutions. They include much of the author's research and are aimed at researchers in the field. A unique feature is the emphasis on time-varying domains.

Nonclassical And Inverse Problems For Pseudoparabolic Equations

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Author : A. Asanov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24

Nonclassical And Inverse Problems For Pseudoparabolic Equations written by A. Asanov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

Linear And Nonlinear Parabolic Complex Equations

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Author : Guo Chun Wen
language : en
Publisher: World Scientific
Release Date : 1999-04-29

Linear And Nonlinear Parabolic Complex Equations written by Guo Chun Wen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-29 with Mathematics categories.

This book deals mainly with linear and nonlinear parabolic equations and systems of second order. It first transforms the real forms of parabolic equations and systems into complex forms, and then discusses several initial boundary value problems and Cauchy problems for quasilinear and nonlinear parabolic complex equations of second order with smooth coefficients or measurable coefficients. Parabolic complex equations are discussed in the nonlinear case and the boundary conditions usually include the initial irregular oblique derivative. The boundary value problems are considered in multiply connected domains and several methods are used.

Finite Difference Methods For Nonlinear Evolution Equations

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Author : Zhi-Zhong Sun
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-05-08

Finite Difference Methods For Nonlinear Evolution Equations written by Zhi-Zhong Sun and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-08 with Mathematics categories.

Introduces recent research results of finite difference methods including important nonlinear evolution equations in applied science. The presented difference schemes include nonlinear difference schemes and linearized difference schemes. Features widely used nonlinear evolution equations such as Burgers equation, regular long wave equation, Schrodinger equation and more. Each PDE model includes details on efficiency, stability, and convergence.

Geometric Sturmian Theory Of Nonlinear Parabolic Equations And Applications

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Author : Victor A. Galaktionov
language : en
Publisher: CRC Press
Release Date : 2004-05-24

Geometric Sturmian Theory Of Nonlinear Parabolic Equations And Applications written by Victor A. Galaktionov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-24 with Mathematics categories.

Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century. Briefly revived by Plya in the 1930's and rediscovered in part several times since, it was not un

Metamaterial Analysis And Design

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Author : Habib Ammari
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-11-06

Metamaterial Analysis And Design written by Habib Ammari and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-06 with Mathematics categories.

Metamaterials are advanced composite materials which have exotic and powerful properties. Their complicated microstructures make metamaterials challenging to model, requiring the use of sophisticated mathematical techniques. This book uses a from-first-principles approach (based on boundary integral methods and asymptotic analysis) to study a class of high-contrast metamaterials. These mathematical techniques are applied to the problem of designing graded metamaterials that replicate the function of the cochlea.

Numerical Simulation Of Incompressible Viscous Flow

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Author : Roland Glowinski
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-09-19

Numerical Simulation Of Incompressible Viscous Flow written by Roland Glowinski and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-19 with Mathematics categories.

This text on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to split complicated computational fluid dynamics problems into a sequence of simpler sub-problems. A methodology for solving more advanced applications such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid is also presented.