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Global Existence, Hamiltonian Conservation and Vanishing Viscosity for the Surface Quasi-Geostrophic Equation
Luigi De Rosa, Mickaël Latocca, Jaemin Park
For any initial datum it is proved the existence of a global-in-time weak solution to the surface quasi-geostrophic equat…
math.AP2025
Well-Posedness of the Free Boundary Incompressible Porous Media Equation
Mickaël Latocca, Huy Q. Nguyen
We consider the free boundary incompressible porous media equation which describes the dynamics of a density transported by a Darcy flow in the field of gravity, with a free bounda…