Nonlinear partial differential equations with applications

By:

Roubicek, Tomas

Material type:

TextSeries: International Series of Numerical MathematicsPublication details: Basel: Birkhauser - Springer, 2013.Edition: 2nd edDescription: xx, 476p. hbk.: 25 cmISBN:

9783034805124

Subject(s):

DDC classification:

515.353 ROU

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. https://link.springer.com/book/10.1007/978-3-0348-0513-1

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Item type	Current library	Collection	Call number	Copy number	Status	Barcode
Books	IIT Gandhinagar	General	515.353 ROU (Browse shelf(Opens below))	1	Available	036114

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Previous	515.353 PES Stochastic partial differential equations with levy noise: an evolution equation approach, Vol. 113	515.353 PRO Maximum principles in differential equations	515.353 RAU Partial differential equations	515.353 ROU Nonlinear partial differential equations with applications	515.353 SMI Numerical solution of partial differential equations : finite difference methods	515.353 STO Lie's structural approach to PDE systems, Vol. 80	515.353 STR Partial differential equations for probabilists.	Next

Includes Bibliography and Index.

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.

https://link.springer.com/book/10.1007/978-3-0348-0513-1

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