Nonexistence of a shock layer in gas dynamics with a nonconvex equation of state

DOI10.1007/BF00280432zbMath0652.76047MaRDI QIDQ1107390

Robert L. Pego

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsEuler's equationsentropy conditionconvexity assumptionshock layer solutionsimple shock wave solution

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65)

Related Items

Stable Viscosities and Shock Profiles for Systems of Conservation Laws, SHOCK LAYERS FOR TURBULENCE MODELS, The structure of shock and interphase layers for a heat conducting Maxwellian rate-type approach to solid-solid phase transitions, Symmetrization of dissipative-dispersive traveling waves for systems of conservation laws, The Riemann problem for fluid flow of real materials, The structure of shock and interphase layers for a heat conducting Maxwellian rate-type approach to solid-solid phase transitions, An approximate solver for multi-medium Riemann problem with Mie-Grüneisen equations of state

Cites Work

• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• Shock waves in the nonisentropic gas flow
• The entropy condition and the admissibility of shocks
• Admissibility criteria for propagating phase boundaries in a van der Waals fluid
• Stability of the center-stable manifold
• Stable Viscosities and Shock Profiles for Systems of Conservation Laws
• The Riemann Problem in Gas Dynamics
• Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
• Shock waves in arbitrary fluids
• The Existence and Limit Behavior of the One-Dimensional Shock Layer