4 papers
Decay rates for the 4D energy-critical nonlinear heat equation
Leonardo Kosloff, César J. Niche, Gabriela Planas
In this paper we address the decay of solutions to the four-dimen\-sional energy-critical nonlinear heat equation in the critical space . Recently, it was proven that th…
Long-time solvability for the 2D inviscid Boussinesq equations with borderline regularity and dispersive effects
Vladimir Angulo-Castillo, Lucas C. F. Ferreira, Leonardo Kosloff
We are concerned with the long-time solvability for 2D inviscid Boussinesq equations for a larger class of initial data which covers the case of borderline regularity. First we sho…
Fast rotation and inviscid limits for the SQG equation with general ill-prepared initial data
Leonardo Kosloff, Gabriele Sbaiz
In the present paper, we study the fast rotation and inviscid limits for the 2-D dissipative surface quasi-geostrophic equation with a dispersive forcing term $A \mathcal{R}_{1} \v…
Algebraic decay rates for 3D Navier-Stokes and Navier-Stokes-Coriolis equations in
Masahiro Ikeda, Leonardo Kosloff, César J. Niche +1
An algebraic upper bound for the decay rate of solutions to the Navier-Stokes and Navier-Stokes-Coriolis equations in the critical space is…