Can we model finite propagation speeds through parabolic PDEs?
Posted by David Herrero Martí, at math.stackexchange.com,
In physics, phenomena involving a finite propagation speed are typically expressed through hyperbolic (second-order) partial…
Problems Involving Change of Type
Overview of attention for book
Table of Contents
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Altmetric BadgeBook Overview
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Altmetric BadgeChapter 81 Dynamics and minimizing sequences
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Altmetric BadgeChapter 82 Discontinuous solutions of bounded variations to problems of the calculus of variations and of quasi linear hyperbolic differential equations. Integrals of Serrin and Weierstrass.
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Altmetric BadgeChapter 83 Minimizing sequences for nonconvex functionals, phase transitions and singular perturbations
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Altmetric BadgeChapter 84 Dynamics of cluster growth
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Altmetric BadgeChapter 85 A geometric approach to the dynamics of u t = ε 2 u ξξ + f ( u ) for small ε
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Altmetric BadgeChapter 86 On the isothermal motion of a phase interface
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Altmetric BadgeChapter 87 The relaxed invariance principle and weakly dissipative infinite dimensional dynamical systems
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Altmetric BadgeChapter 88 Mathematical problems associated with the elasticity of liquids
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Altmetric BadgeChapter 89 Analysis of spurt phenomena for a non-newtonian fluid
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Altmetric BadgeChapter 90 Boundary conditions for steady flows of viscoelastic fluids
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Altmetric BadgeChapter 91 The use of vectorfield dynamics in formulating admissibility conditions for shocks in conservation laws that change type
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Altmetric BadgeChapter 92 On the Cauchy problem for the Davey-Stewartson system
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Altmetric BadgeChapter 93 Inverse scattering and factorization theory
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Altmetric BadgeChapter 94 Recent results on the Cauchy problem and initial traces for degenerate parabolic equations
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Altmetric BadgeChapter 95 A nonlinear eigenvalue problem involving free boundaries
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Altmetric BadgeChapter 96 Two nonlinear diffusion equations with finite speed of propagation