Problems Involving Change of Type

Proceedings of a Conference Held at the University of Stuttgart, FRG, October 11–14, 1988

Buch | Softcover

XII, 210 Seiten

2014 | 1. Softcover reprint of the original 1st ed. 1990
Springer Berlin (Verlag)
978-3-662-13789-5 (ISBN)

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Spontaneous change of type is a widely observed phenomenon in physics. In this volume, leading experts survey from a mathematical point of view topics such as phase transitions in crystals, cluster dynamics, viscoelastic flows, motion of interfaces in thermodynamics, shocks in transonic flows, and nonlinear diffusion with finite speed of propagation. Owing to new mathematical techniques, there is now a renewed interest in these difficult questions. The present volume supplies new results but may also serve as an excellent introduction to recent literature. It will be of interest to researchers and to graduate students in physics and mathematics.

The contributions deal with changing-type phenomena from both physical and mathematical points of view. Among the topics discussed are spontaneous phase transitions in crystals, clusterdynamics, and shock phenomena in transonic flows. The book provides a good survey of recent developments in this active field of research.

Dynamics and minimizing sequences.- Discontinuous solutions of bounded variations to problems of the calculus of variations and of quasi linear hyperbolic differential equations. Integrals of Serrin and Weierstrass..- Minimizing sequences for nonconvex functionals, phase transitions and singular perturbations.- Dynamics of cluster growth.- A geometric approach to the dynamics of u t = ?2 u ?? + f(u) for small ?.- On the isothermal motion of a phase interface.- The relaxed invariance principle and weakly dissipative infinite dimensional dynamical systems.- Mathematical problems associated with the elasticity of liquids.- Analysis of spurt phenomena for a non-newtonian fluid.- Boundary conditions for steady flows of viscoelastic fluids.- The use of vectorfield dynamics in formulating admissibility conditions for shocks in conservation laws that change type.- On the Cauchy problem for the Davey-Stewartson system.- Inverse scattering and factorization theory.- Recent results on the Cauchy problem and initial traces for degenerate parabolic equations.- A nonlinear eigenvalue problem involving free boundaries.- Two nonlinear diffusion equations with finite speed of propagation.

Erscheint lt. Verlag	23.8.2014
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	XII, 210 p. 2 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	394 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Cauchy problem • conservation law • differential equation • Diffusion • Dynamical system • Dynamical Systems • Dynamics • eigenvalue • Elasticity • Functionals • Phase • phase transition • scattering • Solution • thermodynamics
ISBN-10	3-662-13789-5 / 3662137895
ISBN-13	978-3-662-13789-5 / 9783662137895
Zustand	Neuware