Parabolic problems which are ill-posed in the zero dissipation limit

DOI10.1016/S0895-7177(02)00085-7zbMath1066.76064OpenAlexW2047317291MaRDI QIDQ1876785

Jacob Yström, Heinz-Otto Kreiss

Publication date: 20 August 2004

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(02)00085-7

zbMATH Keywords

conservation lawsCauchy problemtwo-phase flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ill-posed problems for PDEs (35R25) Liquid-gas two-phase flows, bubbly flows (76T10) Initial value problems for second-order parabolic systems (35K45)

Related Items (7)

Analysis of stability, verification and chaos with the Kreiss-Yström equations ⋮ A note on viscous conservation laws with complex characteristics ⋮ Solutions of a nonhyperbolic pair of balance laws ⋮ Two-phase viscous modeling of compaction of granular materials ⋮ A model for peak formation in the two-phase equations ⋮ On initial-boundary value problems for symmetric nonhyperbolic systems of partial differential equations ⋮ Non-Cooperative and Semi-Cooperative Differential Games

Cites Work

• Asymptotic solutions of oscillatory initial value problems
• Stability of systems of viscous conservation laws
• On the Convergence to Steady State of Solutions of Nonlinear Hyperbolic-Parabolic Systems
• A Geometric Theory of Conservation Laws which Change Type: Plenary Lecture held at the Annual GAMM Conference at Braunschweig, Germany, April 4‐9, 1994
• On two-fluid equations for dispersed incompressible two-phase flow.
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