Maps and fields with compressible density
Mathematical and numerical study of nonlinear problems in fluid mechanics
Measure-valued solutions and well-posedness of multi-dimensional conservation laws in a bounded domain.
Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium∗
In the present work we investigate the numerical simulation of liquid-vapor phase change in compressible flows. Each phase is modeled as a compressible fluid equipped with its own equation of state (EOS). We suppose that inter-phase equilibrium processes in the medium operate at a short time-scale compared to the other physical phenomena such as convection or thermal diffusion. This assumption provides an implicit definition of an equilibrium EOS...
Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium∗
In the present work we investigate the numerical simulation of liquid-vapor phase change in compressible flows. Each phase is modeled as a compressible fluid equipped with its own equation of state (EOS). We suppose that inter-phase equilibrium processes in the medium operate at a short time-scale compared to the other physical phenomena such as convection or thermal diffusion. This assumption provides an implicit definition of an equilibrium EOS...
Multicomponent models in nuclear astrophysics
We consider hydrodynamical models describing the evolution of a gaseous star in which the presence of thermonuclear reactions between several species leads to a multicomponent formulation. In the case of binary mixtures, recent 3D results are evoked. In the one-dimensional situation, we can prove global estimates and stabilization for some simplified model.
Multiphase free boundary problem for the equations of motion of general fluids