Differential and Integral Equations
- Differential Integral Equations
- Volume 23, Number 9/10 (2010), 899-934.
Existence of global weak solutions for compressible fluid models with a capillary tensor for discontinuous interfaces
This work is devoted to proving the global existence of weak solutions for a general isothermal model of capillary fluids derived in his modern form by C. Rohde in , which can be used as a phase transition model. First, inspired by the result by P.-L. Lions in  on the Navier-Stokes compressible system we show the global stability of weak solutions for our system with isentropic pressure and next with general pressure. Finally, we consider perturbations of a stable equilibrium.
Differential Integral Equations, Volume 23, Number 9/10 (2010), 899-934.
First available in Project Euclid: 20 December 2012
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Haspot, Boris. Existence of global weak solutions for compressible fluid models with a capillary tensor for discontinuous interfaces. Differential Integral Equations 23 (2010), no. 9/10, 899--934. https://projecteuclid.org/euclid.die/1356019117