Chapman-Enskog $⇒$ viscosity-capillarity

DOI10.1090/S0033-569X-2012-01305-1zbMath1247.35135MaRDI QIDQ2911114

Marshall Slemrod

Publication date: 12 September 2012

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) First-order nonlinear hyperbolic equations (35L60) Perturbations in context of PDEs (35B20)

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Cites Work

• Unnamed Item
• Instabilities in the Chapman-Enskog expansion and hyperbolic Burnett equations
• Dynamic phase transitions in a van der Waals fluid
• Admissibility criteria for propagating phase boundaries in a van der Waals fluid
• Structure and approximations of the chapman-enskog expansion for the linearized grad equations
• The Boltzmann Equation and Fluid Dynamics
• Hydrodynamics from Grad's equations: What can we learn from exact solutions?
• Hyperbolic Conservation Laws in Continuum Physics