Existence of multidimensional phase transitions in a non-isothermal van der Waals fluid

DOI10.1016/j.na.2007.09.004zbMath1154.76056OpenAlexW2093881579MaRDI QIDQ949738

Shu-Yi Zhang

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.09.004

zbMATH Keywords

initial-boundary value problemEuler equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Liquid-gas two-phase flows, bubbly flows (76T10) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Cites Work

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• 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
• Admissibility criteria for propagating phase boundaries in a van der Waals fluid
• Stability and existence of multidimensional subsonic phase transitions
• Stability of subsonic planar phase boundaries in a van der Waals fluid
• Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
• Hyperbolic systems of conservation laws II
• EXISTENCE OF TRAVELLING WAVES IN NON-ISOTHERMAL PHASE DYNAMICS
• Nonlinear compressible vortex sheets in two space dimensions
• The existence of multidimensional shock fronts
• Nonisothermal dynamic phase transitions
• Stability of multi-dimensional phase transitions in a Van der Waals fluid
• Nonuniqueness of phase transitions near the Maxwell line
• The stability of multidimensional shock fronts
• The stability of compressible vortex sheets in two space dimensions

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