Nonlinear Partial Differential Equations with Applications

Tomá¿ Roubí¿ek

ISBN 10: 3034805128 / ISBN 13: 9783034805124

Edité par Springer Basel, Birkhäuser Basel Jan 2013, 2013

A propos de cet article

Neuware -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 aremainly an introduction into the subject while some others form an advanced textbook.Thesecond 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 steady-state 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)Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 496 pp. Englisch. N° de réf. du vendeur 9783034805124

Détails bibliographiques

Titre : Nonlinear Partial Differential Equations ...

Éditeur : Springer Basel, Birkhäuser Basel Jan 2013

Date d'édition : 2013

Reliure : Buch

Etat : Neu

Edition : 2ème Édition

A propos de ce titre

Synopsis :

This book examines quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The 2nd edition simplifies and extends the exposition and augments applications in thermally coupled systems, magnetism, and more.