Syllabus
In this lecture we will present elegant method recently developed by C. De Lellis and L. Székelyhidi which yields surprising results concerning weak solutions of incompressible and compressible Euler equations. In particular we will prove existence of infinitely many global bounded weak solutions of incompressible Euler equations with compact support in space-time. We will also show applications of this method on compressible Euler equations and on searching for initial data yielding infinitely many weak solutions.
For master and doctoral students.
Annotation
In this lecture we will present elegant method recently developed by C. De Lellis and L. Székelyhidi which yields surprising results concerning weak solutions of incompressible and compressible Euler equations. In particular we will prove existence of infinitely many global bounded weak solutions of incompressible Euler equations with compact support in space-time. We will also show applications of this method on compressible Euler equations and on searching for initial data yielding infinitely many weak solutions.
For master and doctoral students.