Add to ORKG27 pagesIn this article I study Hölder regularity for solutions of a transport equation based in the dissipative quasi-geostrophic equation. Following a recent idea of A. Kiselev and F. Nazarov, I will use the molecular characterization of local Hardy spaces in order to obtain information on Hölder regularity of such solutions. This will be done by following the evolution of molecules in a backward equation
We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equati...
Fick's law is extensively adopted as a model for standard diffusion processes. However, requiring se...
Owing to the Rosenau argument [P. Rosenau, Physical Review A, 46, 12\u201315, 1992], originally prop...
Abstract: Motivated by the critical dissipative quasi-geostrophic equation, we prove that drift-diff...
International audienceWe investigate some smoothness properties for a transport-diffusion equation i...
We are concerned with non-local diffusion equations in the presence of a divergence free drift term....
We prove uniform H\"older regularity estimates for a transport-diffusion equation with a fractional ...
AbstractIn this paper we consider the 2D dissipative quasi-geostrophic equations and study the regul...
In this remark, an anomalous diffusion phenomena for a fractional kinetic equation is studied. Here,...
We study the existence of global weak solutions of a nonlinear transport-diffusion equation with a f...
Owing to Rosenau argument [28], originally proposed to obtain a regularized version of the Chapman-E...
In this article, we prove that if the initial data $heta_0$ and its Riesz transforms ($mathcal{R}_1...
The problem of studying anomalous superdiffusive transport by means of fractional transport equation...
International audienceThis article is concerned with a porous medium equation whose pressure law is ...
AbstractThis paper concerns with a regularity criterion of solutions to the 2D dissipative quasi-geo...
We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equati...
Fick's law is extensively adopted as a model for standard diffusion processes. However, requiring se...
Owing to the Rosenau argument [P. Rosenau, Physical Review A, 46, 12\u201315, 1992], originally prop...
Abstract: Motivated by the critical dissipative quasi-geostrophic equation, we prove that drift-diff...
International audienceWe investigate some smoothness properties for a transport-diffusion equation i...
We are concerned with non-local diffusion equations in the presence of a divergence free drift term....
We prove uniform H\"older regularity estimates for a transport-diffusion equation with a fractional ...
AbstractIn this paper we consider the 2D dissipative quasi-geostrophic equations and study the regul...
In this remark, an anomalous diffusion phenomena for a fractional kinetic equation is studied. Here,...
We study the existence of global weak solutions of a nonlinear transport-diffusion equation with a f...
Owing to Rosenau argument [28], originally proposed to obtain a regularized version of the Chapman-E...
In this article, we prove that if the initial data $heta_0$ and its Riesz transforms ($mathcal{R}_1...
The problem of studying anomalous superdiffusive transport by means of fractional transport equation...
International audienceThis article is concerned with a porous medium equation whose pressure law is ...
AbstractThis paper concerns with a regularity criterion of solutions to the 2D dissipative quasi-geo...
We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equati...
Fick's law is extensively adopted as a model for standard diffusion processes. However, requiring se...
Owing to the Rosenau argument [P. Rosenau, Physical Review A, 46, 12\u201315, 1992], originally prop...