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This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the gener… Mehr…

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ISBN: 9783034807685

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Nonlinear Partial Differential Equations with Applications | Tomá¿ Roubí¿ek | Taschenbuch | International Series of Numerical Mathematics | Paperback | XX | Englisch | 2015 | Springer Basel - Roubí¿ek, Tomá¿
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Nonlinear Partial Differential Equations with Applications | Tomá¿ Roubí¿ek | Taschenbuch | International Series of Numerical Mathematics | Paperback | XX | Englisch | 2015 | Springer Basel - Taschenbuch

2015, ISBN: 9783034807685

[ED: Taschenbuch], [PU: Springer Basel], This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The expo… Mehr…

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Nonlinear Partial Differential Equations with Applications / Tomá¿ Roubí¿ek / Taschenbuch / International Series of Numerical Mathematics / Paperback / XX / Englisch / 2015 / Springer Basel - Roubí¿ek, Tomá¿
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Nonlinear Partial Differential Equations with Applications / Tomá¿ Roubí¿ek / Taschenbuch / International Series of Numerical Mathematics / Paperback / XX / Englisch / 2015 / Springer Basel - Taschenbuch

2015, ISBN: 9783034807685

[ED: Taschenbuch], [PU: Springer Basel], This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The expo… Mehr…

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Details zum Buch
Nonlinear Partial Differential Equations with Applications Tomás Roubícek Author

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 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)

Detailangaben zum Buch - Nonlinear Partial Differential Equations with Applications Tomás Roubícek Author


EAN (ISBN-13): 9783034807685
ISBN (ISBN-10): 3034807686
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2015
Herausgeber: Springer Basel Core >1

Buch in der Datenbank seit 2016-04-05T20:14:36+02:00 (Berlin)
Detailseite zuletzt geändert am 2023-10-31T11:45:24+01:00 (Berlin)
ISBN/EAN: 3034807686

ISBN - alternative Schreibweisen:
3-0348-0768-6, 978-3-0348-0768-5
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: tom, roubicek
Titel des Buches: partial differential equations, nonlinear partial, roubicek, differential equations with applications


Daten vom Verlag:

Autor/in: Tomáš Roubíček
Titel: International Series of Numerical Mathematics; Nonlinear Partial Differential Equations with Applications
Verlag: Birkhäuser; Springer Basel
476 Seiten
Erscheinungsjahr: 2015-06-25
Basel; CH
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
85,59 € (DE)
87,99 € (AT)
94,50 CHF (CH)
POD
XX, 476 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; abstract monotone-type operators including pseudomonotone ones; accretive operators; differential equations of elliptic and parabolic types; quasilinear equations; semilinear equations; systems of partial differential equations; various applications in continuum mechanics and thermodynamics; partial differential equations; Difference and Functional Equations; Differential Equations; Computational Mathematics and Numerical Analysis; Numerical Analysis; Numerische Mathematik; BB

Preface.- Preface to the 2nd edition.- Notational conventions.- 1 Preliminary general material.- I Steady-state problems.- 2 Pseudomonotone or weakly continuous mappings.- 3 Accretive mappings.- 4 Potential problems: smooth case.- 5 Nonsmooth problems; variational inequalities.- 6. Systems of equations: particular examples.- II Evolution problems.- 7 Special auxiliary tools.- 8 Evolution by pseudomonotone or weakly continuous mappings.- 9 Evolution governed by accretive mappings.- 10 Evolution governed by certain set-valued mappings.- 11 Doubly-nonlinear problems.- 12 Systems of equations: particular examples.- References.- Index.
Considerably extended second edition of a well-written monograph on modern theory of PDEs Presents theory and applications in a concise, clear, elegant and rigorous way Useful also to engineers, physicists, biologists and other scientists interested in nonlinear differential models Includes supplementary material: sn.pub/extras

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