Asymptotic stability of periodic solution for compressible viscous van der Waals fluids

DOI10.1007/s10255-014-0430-8zbMath1307.35048OpenAlexW1990576897MaRDI QIDQ477576

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 December 2014

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-014-0430-8

zbMATH Keywords

asymptotic stabilityglobal solutionperiodic boundary conditionsone space dimensionEulerian coordinatesvan der Waals fluid

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Viscoelastic fluids (76A10) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65)

Related Items (4)

Unsteady flow of shear-thinning non-Newtonian incompressible fluid through a twin-screw extruder ⋮ Strong solutions for the compressible barotropic fluid model of Korteweg type in the bounded domain ⋮ On the exact traveling wave solutions to the van der Waals p-system ⋮ Navier-Stokes/Allen-Cahn system with generalized Navier boundary condition

Cites Work

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• Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition. I: existence and uniform boundedness
• Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition. II: convergence
• Phase Transition in Van der Waals Fluid
• Stability of Coexisting Phases for Compressible Van Der Waals Fluids
• Inflow and outflow problems in the half-space for a one-dimensional isentropic model system of compressible viscous gas.

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