Blow up of solutions of nonlinear PDE’s

2017-04-05

Title: Blow up of solutions of nonlinear PDE’s

Speaker: Varga Kalantarov

From: Koc University, Turkey

Time: April 10th  16:10-18:10

11th  15:30-17:30

12th  9:00-11:00  14:00-15:00

13th  11:15-12:15  14:00-15:00

14th  11:15-12:15  14:00-15:00

Room: N204

Abstract:

The mini course will cover the following topics:

Global existence and non-existence, stability and instability of solutions of nonlinear evolution equations.

Blow up of solutions of nonlinear parabolic equations.

Blow up of solutions of nonlinear wave equations.

Blow up of solutions of nonlinear Schrödinger equation.

Blow up of solutions of damped nonlinear Schrödinger equation

Strongly damped wave equations and wave equations with nonlinear damping terms.

Global existence and non-existence of solutions of nonlinear equations of hydrodynamics.

Preventing of blow up of solutions of nonlinear dissipative PDE’s.

Open problems.