Existence of Global Weak Solution for Compressible Fluid Models of Korteweg Type

Weak solution for compressible fluid models of Korteweg type

This work is devoted to proving existence of global weak solutions for a general isothermal model of capillary fluids derived by J.E Dunn and J.Serrin (1985) [5], which can be used as a phase transition model. We distinguish two cases when the dimension N = 2 and N = 1, in the first case we need that 1 ρ ∈ L∞, when N = 1 we get a weak solution in finite time in the energy space.

Existence of weak solution for compressible fluid models of Korteweg type

This work is devoted to proving existence of global weak solutions for a general isothermal model of capillary fluids derived by J.E Dunn and J. Serrin (1985) [6], which can be used as a phase transition model. We improve the results of [5] by showing the existence of global weak solution in dimension two for initial data in the energy space, close to a stable equilibrium and with specific choi...

Existence of solutions for compressible fluid models of Korteweg type

This work is devoted to the study of the initial boundary value problem for a general non isothermal model of capillary fluids derived by J.E Dunn and J.Serrin (1985) in [15, 25], which can be used as a phase transition model. We distinguish two cases, when the physical coefficients depend only on the density, and the general case. In the first case we can work in critical scaling spaces, and w...

Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces

This work is devoted to proving the global existence of weak solution for a general isothermal model of capillary fluids derived in his modern form by C. Rohde in [21], which can be used as a phase transition model. First, inspired by the result by P.-L. Lions in [19] on the Navier-Stokes compressible system we show the global stability of weak solutions for our system with isentropic pressure ...

Existence of Solutions for Compressible FluidModels of Korteweg