Research Activities > Programs >
Lectures>CSCAMM Students -
2006
>Dongming Wei
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SIAM Conference on Analysis of PDEs (Boston, MA)
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On the
Conditional Global Regularity of the 1D
Euler-Poisson Equations with Pressure
Dongming Wei
Center for Scientific Computation and Mathematical
Modeling at University of Maryland, College Park
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Abstract:
We prove that the one-dimensional Euler-Poisson system driven by the Poisson forcing together with the usual $\gamma$-law pressure($\gamma \geq
1$) admits global solutions for a large class of initial data. Thus, the Poisson forcing regularizes the generic finite-time
breakdown in the $2 \times 2$ p-system. Global regularity is shown to depend on whether the initial configuration of the
Riemann invariants and density crosses an intrinsic critical threshold. |
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