| Abstract: |
| I will discuss a compressible Navier-Stokes Cahn-Hilliard model. The model, intended to describe tumor growth takes into possible non-matching densities and contrasts in mechanical properties (viscosity, friction) between the two phases of the fluid. It also comprises a term to account for possible exchange of mass between the two phases. I will give an idea of the scheme to prove the existence of weak solutions. Also, I will show a structure preserving numerical scheme and present some numerical simulations validating the properties of the numerical scheme and the behavior of the model. |
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