##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Enno Lenzmann

#### Massachusetts Institute of Technology

## Nonlinear Evolution Equations and Gravitational Collapse

##### Abstract:

\noindent In this talk, I will discuss a novel class of nonlinear dispersive equations, which describe the dynamical evolution of self-gravitating relativistic matter. In fact, the analysis of these model equations will give a mathematical vindication of Chandrasekhar's acclaimed physical theory of gravitational collapse. In particular, I will present results concerning the well-posedness of the initial-value problem, the singularity formation of solutions (blowup), as well as solitary wave solutions and their stability. Time permitting, I will also discuss some recent and ongoing work. \\ \noindent This is partly joint work with J\"urg Fr\""ohlich (ETH Z\""urich)

Host: Peter Ebenfelt

### January 8, 2009

### 3:00 PM

### AP&M 6402

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