期刊
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS
卷 6, 期 2, 页码 295-312出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219891609001848
关键词
The relativistic Boltzmann equation; uniform L-2-stability; macro-micro decomposition
资金
- NNSF of China [KRF-2006-312-C00042, 10701054]
- SJTU-Foundation [A2858B]
- Shanghai Educational Development Foundation [H087007]
- BK21-Mathematical Division of SNU
- KOSEF [R01-2006-000-10002-0]
In this paper, we derive an a priori L-2-stability estimate for classical solutions to the relativistic Boltzmann equation, when the initial datum is a small perturbation of a global relativistic Maxwellian. For the stability estimate, we use the dissipative property of the linearized collision operator and a Strichartz type estimate for classical solutions. As a direct application of our stability estimates, we establish that classical solutions in Glassey-Strauss and Hsiao-Yu's frameworks satisfy a uniform L-2-stability estimate.
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