ON THE YUDOVICH'S TYPE SOLUTIONS FOR THE 2D BOUSSINESQ SYSTEM WITH THERMAL DIFFUSIVITY
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en
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Discrete and Continuous Dynamical Systems - Series A. 2020
American Institute of Mathematical Sciences
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2020Resumen en inglés
The goal of this paper is to study the two-dimensional inviscid Boussinesq equations with temperature-dependent thermal diffusivity. Firstly we establish the global existence theory and regularity estimates for this system ...Leer más >
The goal of this paper is to study the two-dimensional inviscid Boussinesq equations with temperature-dependent thermal diffusivity. Firstly we establish the global existence theory and regularity estimates for this system with Yudovich's type initial data. Then we investigate the vortex patch problem, and proving that the patch remains in Hölder class C 1+s (0 < s < 1) for all the time.< Leer menos
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