Solving ill posed problems in fluid mechanics (1/4)

par Prof. Eduard Feireisl (IM, Academy of Sciences of the Czech Republic)

vendredi 7 févr. 2020, 10:00 → 12:00 Europe/Paris

Fokko du Cloux (Bâtiment Braconnier)

Many equations and system in fluid mechanics, in particular those describing the motion of perfect (inviscid) fluids, turn out to be ill--posed. This is to say, there are infinitely many solutions for given data.

The goal of this minicourse is to discuss this topic starting from pure analysis and ending with numerical implementation.

 

Lecture 1: The method of convex integration and its impact on solvability of the Euler system in the class of weak solutions. The existence of ``wild'' solutions and related topics.