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Nonlinear Evolution Equations That Change Type

by Barbara Lee Keyfitz

  • ISBN: 9780387973531
  • ISBN10: 0387973532

Nonlinear Evolution Equations That Change Type

by Barbara Lee Keyfitz

  • List Price: $99.00
  • Binding: Hardcover
  • Publisher: Springer Verlag
  • Publish date: 02/01/1991
  • ISBN: 9780387973531
  • ISBN10: 0387973532
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Description: Multiple viscous profile Riemann solutions in mixed elliptic-hyperbolic models for flow in porous media.- On the loss of regularity of shearing flows of viscoelastic fluids.- Composite type, change of type, and degeneracy in first order systems with applications to viscoelastic flows.- Numerical simulation of inertial viscoelastic flow with change of type.- Some qualitative properties of 2 2 systems of conservation laws of mixed type.- On the strict hyperbolicity of the Buckley-Leverett equations for three-phase flow.- Admissibility criteria and admissible weak solutions of Riemann problems for conservation laws of mixed type: a summary.- Shocks near the sonic line: a comparison between steady and unsteady models for change of type.- A strictly hyperbolic system of conservation laws admitting singular shocks.- An existence and uniqueness result for two nonstrictly hyperbolic systems.- Overcompressive shock waves.- Quadratic dynamical systems describing shear flow of non-Newtonian fluids.- Dynamic phase transitions: a connection matrix approach.- A well-posed boundary value problem for supercritical flow of viscoelastic fluids of Maxwell type.- Loss of hyperbolicity in yield vertex plasticity models under nonproportional loading.- Undercompressive shocks in systems of conservation laws.- Measure valued solutions to a backward-forward heat equation: a conference report.- One-dimensional thermomechanical phase transitions with non-convex potentials of Ginzburg-Landau type.- Admissibility of solutions to the Riemann problem for systems of mixed type-transonic small disturbance theory-.
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