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Weak and Measure-Valued Solutions to Evolutionary PDEs

This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous;

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Elliptic Regularity Theory: A First Course

-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are;

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Introduction To Second Order Partial Differential Equations, An: Classical And Variational Solutions

The book extensively introduces classical and variational partial differential equations (PDEs) to graduate and post-graduate students;

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Boundary Control of PDEs

, and Navier-Stokes equations); real-valued as well as complex-valued PDEs; stabilization as well as motion planning and trajectory tracking for;

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Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

Partial Differential Equations in Mechanics and Physics serve as a preliminary introduction to the general theory of nonlinear evolution PDEs;

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Hoelder Continuous Euler Flows in Three Dimensions with Compact Support in Time

Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the;

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Hoelder Continuous Euler Flows in Three Dimensions with Compact Support in Time

Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the;

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Numerical Analysis of Compressible Fluid Flows

or measure-valued solutions). The concept of a weak-strong uniqueness principle in the class of generalized solutions is used to prove the;

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Entropy Methods for Diffusive Partial Differential Equations

analysis of discrete and geometric structures of the PDEs. The purpose of the book is to provide readers an introduction to selected entropy;

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Traveling Wave Analysis of Partial Differential Equations

of a traveling wave, with a central feature of conversion of the PDEs to ODEs. The Matlab and Maple software will be available for;

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Multi-Valued Variational Inequalities and Inclusions

This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary;

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Multi-Valued Variational Inequalities and Inclusions

This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary;

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Weak Convergence Methods For Nonlinear Partial Differential Equations

that are rapidly developing and points to some underlying viewpoints common to them all. Among the several themes in the book are the primary;

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Basic Partial Differential Equations

-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences;

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Problems on Partial Differential Equations

theory, the main emphasis is on introducing readers to the latest developments based on the notions of weak solutions and Sobolev spaces;

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Handbook of Linear Partial Differential Equations for Engineers and Scientists

problems for numerical and approximate analytical methods for solving linear PDEs and systems of coupled PDEs New to the Second Edition;

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Partial Differential Equations

fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions;

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Analytic Inequalities and Their Applications in PDEs

, large-time behavior, decay rates and blow-up of solutions to various classes of evolutionary differential equations. Summarizing results from a;

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Geometric Properties for Parabolic and Elliptic PDE's

and in particular for researchers studying parabolic and elliptic PDEs. It covers many different fields of current research as follows;

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Partial Differential Equations with Variable Exponents

leads not only to the fundamental results of existence and multiplicity of weak solutions but also to several qualitative properties, including;

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Qualitative and Quantitative Analysis of Nonlinear Systems

for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and;

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Beyond Sobolev and Besov

on non smooth domains. Linear as well as nonlinear equations are considered and special attention is paid to PDEs of parabolic type. For the;

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Numerical Solutions for Partial Differential Equations

(natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide;

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Numerical Solutions for Partial Differential Equations

(natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide;

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First Course In Partial Differential Equations, A

This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic;

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Introduction To Nonlinear Partial Differential Equations

life sciences, while also addressing key topics such as linear PDEs, first-order nonlinear PDEs, classical and weak solutions, shocks;

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Linear Partial Differential Equations for Scientists and Engineers

This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors;

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