Speaker
Tomasz Dlotko
(KATOWICE)
Description
(Tomasz Dlotko - University of Silesia in Katowice, Poland)
An approach to solvability of certain quasilinear parabolic equations will be presented by approximating the quasilinear equation under consideration with a parameter family of semilinear problems with stronger linear fractional diffusion term. Defined on arbitrarily long time intervals, solutions to the original problem are found as a suitable limit of global solutions to those semilinear approximations. The method is applied to the celebrated Navier-Stokes equations in 3D, nonlinear parabolic Kirchhoff equation and to critical 2D surface Quasi-geostrophic equation with Dirichlet boundary conditions.
The above approach was presented in the recent publication:
