EXISTENCE OF TRAVELLING WAVES IN NON-ISOTHERMAL PHASE DYNAMICS

DOI10.1142/S0219891607001197zbMath1155.35061OpenAlexW2040490241MaRDI QIDQ3502736

Shu-Yi Zhang

Publication date: 20 May 2008

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891607001197

zbMATH Keywords

Euler equationssubsonic phase transitionsheteroclinic orbitvan der Waals fluidcenter manifold method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Stability of non-isothermal phase transitions in a steady van der Waals flow ⋮ Stability of multidimensional phase transitions in a steady van der Waals flow ⋮ Existence of multidimensional phase transitions in a non-isothermal van der Waals fluid ⋮ VISCOUS SHOCK PROFILES FOR 2 × 2 SYSTEMS OF HYPERBOLIC CONSERVATION LAWS WITH AN UMBILIC POINT

Cites Work

• Propagating phase boundaries: Formulation of the problem and existence via the Glimm method
• Discontinuous solutions to the Euler equations for a Van der Waals fluid
• The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion: Nonisothermal case
• Dynamic phase transitions in a van der Waals fluid
• Diffusive-dispersive traveling waves and kinetic relations. IV: Compressible Euler equations
• Nonuniqueness of admissible solutions of Riemann initial value problems for a system of conservation laws of mixed type
• Stability of subsonic planar phase boundaries in a van der Waals fluid
• Hyperbolic systems of conservation laws II
• Nonisothermal dynamic phase transitions
• Stability of multi-dimensional phase transitions in a Van der Waals fluid
• Nonuniqueness of phase transitions near the Maxwell line
• Diffusive-dispersive travelling waves and kinetic relations. II A hyperbolic–elliptic model of phase-transition dynamics
• NON-MONOTONIC TRAVELING WAVES IN VAN DER WAALS FLUIDS

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