Recent results on non-uniqueness of admissible solutions to the Riemann problem for multi-D isentropic Euler equations
Student No.:40
Time:Wed 10:00-11:00, Apr.4th
Instructor:Ondřej Kreml  
Place:Lecture Hall, Jin Chun Yuan West Bldg.
Starting Date:2018-4-4
Ending Date:2018-4-4

In this talk we survey recent results concerning uniqueness and nonuniqueness of admissible weak solutions to the Riemann problem for the multi-dimensional isentropic Euler equations. While the solutions consisting only of rarefaction waves are unique due to the result of Chen and Chen, the convex integration method developed by De Lellis and Szekelyhidi for the incompressible Euler system allowed for proofs of nonuniqueness of admissible solutions whenever the standard 1D solution contains a shock.