Mickael Latocca

activity

20182026

most citedAlmost Sure Existence of Global Solutions for Supercritical Semilinear Wave Equations

9 citations · 20 across the 14 of their papers we have counts for

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3 papers · 1 filter

math.AP2025

Global Existence, Hamiltonian Conservation and Vanishing Viscosity for the Surface Quasi-Geostrophic Equation

Luigi De Rosa, Mickaël Latocca, Jaemin Park

For any initial datum $θ_{0} \in L_{x}^{\frac{4}{3}}$ it is proved the existence of a global-in-time weak solution $θ \in L_{t}^{\infty} L_{x}^{\frac{4}{3}}$ to the surface quasi-geostrophic equat…

math.FA2025

Almost Sure Uniform Convergence Of Random Hermite Series

Rafik Imekraz, Mickaël Latocca

We continue the analysis of random series associated to the multidimensional harmonic oscillator $- Δ + ∣ x ∣^{2}$ on $R^{d}$ with d \geq 2$$. More precisely we obtain a necessary…

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…