Riemann problems requiring a viscous profile entropy condition
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Publication:1823809
DOI10.1016/0196-8858(89)90016-XzbMath0681.76095MaRDI QIDQ1823809
Publication date: 1989
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Riemann problemLax shocksLax entropy conditionnon-strictly hyperbolic conservation lawsHugoniot lociLax conditionsoil reservoir flowthree-phase Buckley-Leverett model
Flows in porous media; filtration; seepage (76S05) Hyperbolic conservation laws (35L65) Basic methods in fluid mechanics (76M99)
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Cites Work
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- Structural stability on two-dimensional manifolds
- Solution of the Riemann problem for a prototype 2\(\times 2\) system of non-strictly hyperbolic conservation laws
- Quadratic gradients on the plane are generically Morse-Smale
- The Riemann problem for materials with nonconvex equation of state. II: General flow
- Loss of stability and bifurcation at a double eigenvalue
- Bifurcation from simple eigenvalues
- Hyperbolic systems of conservation laws II
- Riemann Problems for Nonstrictly Hyperbolic 2 × 2 Systems of Conservation Laws
- The classification of 2 × 2 systems of non-strictly hyperbolic conservation laws, with application to oil recovery
- The Riemann Problem Near a Hyperbolic Singularity: The Classification of Solutions of Quadratic Riemann Problems I
- Some problems in the theory of quasilinear equations
- Global solutions of hyperbolic systems of conservation laws in two dependent variables
- Viscosity matrices for two‐dimensional nonlinear hyperbolic systems