Übersicht			Auf mobile öffnen

Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	August 1995
Genre:	Schulbücher
	Banach space / Differential calculus & equations / Differential calculus and equations / dynamical systems theory / Equilibrium analysis / Equilibrium point / fluid dynamics modeling / Inertial Set / infinite dimensional dynamical systems / Infinitesimal Generator / interpolation spaces / linear evolution equations / Linear Parabolic System / mathematical physics applications / MATHEMATICS / Differential Equations / General / nonlinear evolution equations research / Nonlinear Semigroup / Nonlocal Terms / Nontrivial Solutions / Partial Differential Equations / Self-adjoint Positive Definite Operator / Separable Hilbert Space / Sobolev spaces / Sobolev’s Imbedding Theorem / Unique Global Solution / Vice Versa mehr...
ISBN:	9780582244887
EAN-Code:	9780582244887
Verlag:	Taylor and Francis
Einband:	Gebunden
Sprache:	English
Dimensionen:	H 234 mm / B 156 mm / D
Gewicht:	521 gr
Seiten:	272
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to both initial value problems and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems. Most of the material is based on recent research carried out by the author and his collaborators. The book can be divided into two parts. In the first part, the results on decay of solutions to nonlinear parabolic equations and hyperbolic parabolic coupled systems are obtained, and a chapter is devoted to the global existence of small smooth solutions to fully nonlinear parabolic equations and quasilinear hyperbolic parabolic coupled systems. Applications of the results to nonlinear thermoelasticity and fluid dynamics are also shown. Some nonlinear parabolic equations and coupled systems arising from the study of phase transitions are investigated in the second part of the book. The global existence, uniqueness and asymptotic behaviour of smooth solutions with arbitrary initial data are obtained. The final chapter is further devoted to related topics: multiplicity of equilibria and the existence of a global attractor, inertial manifold and inertial set. A knowledge of partial differential equations and Sobolev spaces is assumed. As an aid to the reader, the related concepts and results are collected and the relevant references given in the first chapter. The work will be of interest to researchers and graduate students in pure and applied mathematics, mathematical physics and applied sciences.