Eventual regularization of the slightly supercritical fractional Burgers equation
We prove that a weak solution of a slightly supercritical fractional Burgers equation becomes Holder continuous for large time.
math.AP↗
arXiv subjects
Chi Hin Chan
Publications and source records attributed to Chi Hin Chan.
Regularity of solutions for the critical $N$-dimensional Burgers' equation
We consider the fractional Burgers' equation on $\R^N$ with the critical dissipation term. We follow the parabolic De-Giorgi's method of Caffarelli and Vasseur \cite{Driftdiffusion} and show existence of smooth solutions given any initial datum in $L^2(\R^N)$.
math.AP↗
Smoothness criteria for Navier-Stokes equations in terms of regularity along the steam lines
This article is devoted to a regularity criteria for solutions of the Navier-Stokes equations in terms of regularity along the stream lines. More precisely, we prove that a suitable weak solution for the Navier-Stokes equations is regular under some constraint on the second derivative of |u| along the stream lines.
math.AP↗
Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations
This article is devoted to a Log improvement of Prodi-Serrin criterion for global regularity to solutions to Navier-Stokes equations in dimension 3. It is shown that the global regualrity holds under the condition that |u|^5/ log (1+|u|) is integrable in space time variables.
math.AP↗