Strichartz estimates and moment bounds for the Vlasov-Maxwell system
主 题: Strichartz estimates and moment bounds for the Vlasov-Maxwell system
报告人: Jonathan Luk (Cambridge University )
时 间: 2016-08-07 10:40 - 11:40
地 点: Science building 1307
We consider the relativistic Vlasov-Maxwell system with initial data of unrestricted size and discuss the application of Strichartz estimates and moment bounds to this system. In two dimensions and two-and-one-half dimensions, we extend the global regularity results of Glassey-Schaeffer without assuming that the initial data have compact momentum support. In the three dimensional case, we apply these techniques to obtain a new continuation criterion which in particular guarantees that a regular solution can be extended as long as the kinetic energy density is in $L^p$ for some $p>2$. This is a joint work with Robert Strain.
