Special Session 194: The rigirous mathematical theory on the convergence in the fluid related model

Global well-posedness of one-dimensional infrarelativistic model for a compressibleviscous gas with radiation
Xin Liu
Shanghai University of International Business and Economics
Peoples Rep of China
Co-Author(s):    Yuming Qin, XIaolei Dong
Abstract:
This talk investigates the global well-posedness of the one-dimensional infrarelativistic model for a compressible viscous gas with radiation. Under suitable hypotheses on the transport coefficients, we prove the global existence and asymptotic behavior of solutions in H^i (i = 1, 2, 4) for this model.