Titlebook: Nonlinear Evolution Equations That Change Type; Barbara Lee Keyfitz,Michael Shearer Conference proceedings 1990 Springer-Verlag New York I

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978-1-4613-9051-0Springer-Verlag New York Inc. 1990

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https://doi.org/10.1007/978-1-4613-9049-7Boundary value problem; Potential; calculus; equation; partial differential equation; partial differentia

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Admissibility Criteria and Admissible Weak Solutions of Riemann Problems for Conservation Laws of MConsider the model system . which describes the one-dimensional isothermal motion of a compressible elastic fluid or solid in Lagrangian coordinate system. Here . denotes the velocity, . the specific volume for a fluid or displacement gradient for a solid, and . is the stress which is determined through a constitutive relation.

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Overcompressive Shock Waves,Overcompressive shock waves for nonstrictly hyperbolic conservation laws are stable in a sense different from that of the corresponding viscous traveling waves. We describe the difference and the reason for it.

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Measure Valued Solutions to a Backward-Forward Heat Equation: A Conference Report,We examine the asymptotic behavior of measure valued solutions to the initial value problem for the nonlinear heat conduction equation. in a bounded domain Ω ⊂.. with boundary condtions of the form..

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Multiple Viscous Profile Riemann Solutions in Mixed Elliptic-Hyperbolic Models for Flow in Porous Mclass of Riemann problem data that the viscous profile entropy condition is insufficient to guarantee uniqueness of the solution. This model possesses transitional shocks — or saddle to saddle connections of the associated dynamical system — of a kind not yet observed in conservation laws with quadratic polynomial flux functions.

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