University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Uniqueness of shock waves under small perturbations for the Isentropic Euler Equations

Uniqueness of shock waves under small perturbations for the Isentropic Euler Equations

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

FDE2 - Fractional differential equations

We consider bounded entropy solutions of the isentropic Euler equations with gamma = 3. We use the kinetic formulation of the equations and a De Giorgi type argument to show weak solutions of this type possess some a priori regularity. Combined with the relative entropy method, we are able to show uniqueness for small shocks under small perturbations, but without any regularity assumptions on the perturbation. This result provides a limit on the possible types of solutions constructible by convex integration techniques

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity