Problems Involving Change of Type: Proceedings of a Conference Held at the University of Stuttgart, FRG, October 11–14, 1988: 359 - Brossura

 
9783662137895: Problems Involving Change of Type: Proceedings of a Conference Held at the University of Stuttgart, FRG, October 11–14, 1988: 359

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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.

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Contenuti

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.

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