Nonlinear partial differential equations with applications
 Author/Creator
 Roubiček, Tomáš, 1956
 Language
 English.
 Edition
 2nd ed.
 Imprint
 Basel : Birkhäuser, c2013.
 Physical description
 xx, 476 p. : ill. ; 24 cm.
 Series
 International series of numerical mathematics ; v. 153.
Access
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 449467) and index.
 Contents

 STEADYSTATE PROBLEMS
 Pseudomonotone or weakly continuous mappings
 Accretive mappings
 Potential problems: smooth case
 Nonsmooth problems; variational inequalities
 Systems of equations: particular examples
 EVOLUTION PROBLEMS
 Special auxiliary tools
 Evolution by pseudomonotone or weakly continuous mappings
 Evolution governed by accretive mappings
 Evolution governed by certain setvalued mappings
 Doublynonlinear problems
 Systems of equations: particular examples.
 Publisher's Summary
 This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo) mechanics of solids and fluids, electrically (semi) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are mainly an introduction into the subject while some others form an advanced textbook. The second edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.  The monograph contains a wealth of material in both the abstract theory of steadystate or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (...) this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (...) nonlinear differential models of the real world. (Mathematical Reviews).
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 Tomáš Roubíček.
 Series
 International series of numerical mathematics ; v. 153
 ISBN
 3034805128
 9783034805124