Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Yue-Jun Peng,Universite Blaise Pascal
Inviter:
Feimin Huang
Title:
Uniform well-posedness for partially dissipative hyperbolic systems
Time & Venue:
2015.7.3 10:00-11:00am N620
Abstract:
We consider smooth solutions for first-order partially dissipative hyperbolic systems with relaxation, which are written in non-conservative form in several space dimensions. Under usual stability conditions, we show global existence with small initial data when the relaxation time is fixed and the space dimension is greater than 3. Further stability conditions are discussed to yield the uniform global well-posedness with respect to the relaxation time. These conditions imply also compactness of the solution sequences and the convergence of the systems to nonlinear parabolic systems. Various examples are given as applications of the results.
Appendix：
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