|
|||||
|
|
On the optimality of velocity averaging lemmas |
|
| Authors: | Camillo De Lellis Michael Westdickenberg |
| Institution: | a Max-Planck Institute for Mathematics in the Sciences, Inselstr. 22, 04103, Leipzig, Germany;b Institute for Applied Mathematics, University of Bonn, Wegelerstr. 10, 53115, Bonn, Germany |
| Abstract: | Studying weak solutions of Burgers' equation with finite entropy dissipation we show the sharpness of recent results of Jabin and Perthame on velocity averaging. Similar arguments give bounds on the regularity of asymptotic finite-energy states for some variational problems of Ginzburg–Landau type. |
| Keywords: | Kinetic equations Velocity averaging Regularity |
| 本文献已被 ScienceDirect 等数据库收录！ | |