23 citations · 60 across the 19 of their papers we have counts for
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Gevrey regularity for the supercritical quasi-geostrophic equation
Animikh Biswas
In this paper, following the techniques of Foias and Temam, we establish suitable Gevrey class regularity of solutions to the supercritical quasi-geostrophic equations in the whole…
On Gevrey Regularity of the Supercritical SQG equation in Critical Besov Spaces
Animikh Biswas, Vincent Martinez, Prabath Silva
In this paper we show that the solution of the supercrti- cal surface quasi-geostrophic (SQG) equation, starting from initial data in homogeneous critical Besov spaces belong to a…
Dissipative length scale estimates for turbulent flows - a Wiener algebra approach
Animikh Biswas, Michael S. Jolly, Vincent R. Martinez +1
In this paper, a lower bound estimate on the uniform radius of spatial analyticity is established for solutions to the incompressible, forced Navier-Stokes system on an n-torus. Th…
Analyticity of the Subcritical and Critical Quasi-Geostrophic equations in Besov Spaces
Hantaek Bae, Animikh Biswas, Eitan Tadmor
We establish analyticity of the subcritical and critical quasi-geostrophic equations in critical Besov spaces. The main method is so-called Gevrey estimates, which is motivated by…
Dissipation vs. quadratic nonlinearity: from a priori energy bound to higher-order regularizing effect
Animikh Biswas, Eitan Tadmor
We consider a rather general class of evolutionary PDEs involving dissipation (of possibly fractional order), which competes with quadratic nonlinearities on the regularity of the…