Books in Partial differential equations

31-40 of 78 results in All results

Partial Differential Equations and Boundary Value Problems with Maple

• 2nd Edition
• March 23, 2009
• George A. Articolo
• English
• eBook 978-0-08-088506-3

  9 7 8 - 0 - 0 8 - 0 8 8 5 0 6 - 3

Partial Differential Equations and Boundary Value Problems with Maple, Second Edition, presents all of the material normally covered in a standard course on partial differential equations, while focusing on the natural union between this material and the powerful computational software, Maple. The Maple commands are so intuitive and easy to learn, students can learn what they need to know about the software in a matter of hours - an investment that provides substantial returns. Maple's animation capabilities allow students and practitioners to see real-time displays of the solutions of partial differential equations. This updated edition provides a quick overview of the software w/simple commands needed to get started. It includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations. It also incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions. Numerous example problems and end of each chapter exercises are provided.

Handbook of Differential Equations: Evolutionary Equations

• 1st Edition
• Volume 4
• August 19, 2008
• C.M. Dafermos + 1 more
• English
• Hardback 978-0-444-53034-9

  9 7 8 - 0 - 4 4 4 - 5 3 0 3 4 - 9
• eBook 978-0-08-093197-5

  9 7 8 - 0 - 0 8 - 0 9 3 1 9 7 - 5

The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE’s, written by leading experts.

Handbook of Differential Equations: Stationary Partial Differential Equations

• 1st Edition
• Volume 6
• May 28, 2008
• Michel Chipot
• English
• Hardback 978-0-444-53241-1

  9 7 8 - 0 - 4 4 4 - 5 3 2 4 1 - 1
• eBook 978-0-08-056059-5

  9 7 8 - 0 - 0 8 - 0 5 6 0 5 9 - 5

This handbook is the sixth and last volume in the series devoted to stationary partial differential equations. The topics covered by this volume include in particular domain perturbations for boundary value problems, singular solutions of semilinear elliptic problems, positive solutions to elliptic equations on unbounded domains, symmetry of solutions, stationary compressible Navier-Stokes equation, Lotka-Volterra systems with cross-diffusion, and fixed point theory for elliptic boundary value problems.

Handbook of Differential Equations: Stationary Partial Differential Equations

• 1st Edition
• Volume 5
• February 4, 2008
• Michel Chipot
• English
• Hardback 978-0-444-53217-6

  9 7 8 - 0 - 4 4 4 - 5 3 2 1 7 - 6
• eBook 978-0-08-055731-1

  9 7 8 - 0 - 0 8 - 0 5 5 7 3 1 - 1

A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching.

Stochastic Differential Equations and Applications

• 2nd Edition
• December 30, 2007
• X Mao
• English
• eBook 978-0-85709-940-2

  9 7 8 - 0 - 8 5 7 0 9 - 9 4 0 - 2

This advanced undergraduate and graduate text has now been revised and updated to cover the basic principles and applications of various types of stochastic systems, with much on theory and applications not previously available in book form. The text is also useful as a reference source for pure and applied mathematicians, statisticians and probabilists, engineers in control and communications, and information scientists, physicists and economists.

Viability, Invariance and Applications

• 1st Edition
• Volume 207
• June 4, 2007
• Ovidiu Carja + 2 more
• English
• eBook 978-0-08-052166-4

  9 7 8 - 0 - 0 8 - 0 5 2 1 6 6 - 4

The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time.The book includes the most important necessary and sufficient conditions for viability starting with Nagumo’s Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts.

Handbook of Differential Equations: Stationary Partial Differential Equations

• 1st Edition
• Volume 4
• May 3, 2007
• Michel Chipot
• English
• eBook 978-0-08-052183-1

  9 7 8 - 0 - 0 8 - 0 5 2 1 8 3 - 1

A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching.

Handbook of Differential Equations: Evolutionary Equations

• 1st Edition
• Volume 3
• October 24, 2006
• C.M. Dafermos + 1 more
• English
• Hardback 978-0-444-52848-3

  9 7 8 - 0 - 4 4 4 - 5 2 8 4 8 - 3
• eBook 978-0-08-046565-4

  9 7 8 - 0 - 0 8 - 0 4 6 5 6 5 - 4

The material collected in this volume reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear parabolic PDE's.Articles will highlight the present as well as expected future directions of development of the field with particular emphasis on applications. The article by Ambrosio and Savaré discussesthe most recent development in the theory of gradient flow of probability measures. After an introduction reviewing the properties of the Wasserstein space and corresponding subdifferential calculus, applications are given to evolutionarypartial differential equations. The contribution of Herrero provides a description of some mathematical approaches developed to account for quantitative as well as qualitative aspects of chemotaxis. Particular attention is paid to the limits of cell'scapability to measure external cues on the one hand, and to provide an overall description of aggregation models for the slim mold Dictyostelium discoideum on the other.The chapter written by Masmoudi deals with a rather different topic - examples of singular limits in hydrodynamics. This is nowadays a well-studied issue given the amount of new results based on the development of the existence theory for rather general systems of equations in hydrodynamics. The paper by DeLellis addreses the most recent results for the transport equations with regard to possible applications in the theory of hyperbolic systems of conservation laws. Emphasis is put on the development of the theory in the case when the governing field is only a BV function.The chapter by Rein represents a comprehensive survey of results on the Poisson-Vlasov system in astrophysics. The question of global stability of steady states is addressed in detail. The contribution of Soner is devoted to different representations of non-linear parabolic equations in terms of Markov processes. After a brief introduction on the linear theory, a class ofnon-linear equations is investigated, with applications to stochastic control and differential games.The chapter written by Zuazua presents some of the recent progresses done on the problem of controllabilty of partial differential equations. The applications include the linear wave and heat equations,parabolic equations with coefficients of low regularity, and some fluid-structure interaction models.

Handbook of Differential Equations: Stationary Partial Differential Equations

• 1st Edition
• Volume 3
• August 8, 2006
• Michel Chipot + 1 more
• English
• Hardback 978-0-444-52846-9

  9 7 8 - 0 - 4 4 4 - 5 2 8 4 6 - 9
• eBook 978-0-08-046382-7

  9 7 8 - 0 - 0 8 - 0 4 6 3 8 2 - 7

This handbook is volume III in a series devoted to stationary partial differential quations. Similarly as volumes I and II, it is a collection of self contained state-of-the-art surveys written by well known experts in the field. The topics covered by this handbook include singular and higher order equations, problems near critically, problems with anisotropic nonlinearities, dam problem, T-convergence and Schauder-type estimates. These surveys will be useful for both beginners and experts and speed up the progress of corresponding (rapidly developing and fascinating) areas of mathematics.Key features: - Written by well-known experts in the field- Self-contained volume in series covering one of the most rapid developing topics in mathematics

Student Solutions Manual to Boundary Value Problems

• 5th Edition
• November 16, 2005
• David L. Powers
• English
• Paperback 978-0-12-088586-2

  9 7 8 - 0 - 1 2 - 0 8 8 5 8 6 - 2
• eBook 978-0-08-091673-6

  9 7 8 - 0 - 0 8 - 0 9 1 6 7 3 - 6

This student solutions manual accompanies the text, Boundary Value Problems and Partial Differential Equations, 5e. The SSM is available in print via PDF or electronically, and provides the student with the detailed solutions of the odd-numbered problems contained throughout the book.