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Global Well-posedness and optimal decay rates for a generic compressible two-fluid model

发布日期:2026-01-12点击数:

报告人:吴国春 副教授 (厦门理工学院)

时间:2026年01月16日 11:00-

地址:数统学院LD703


摘要:We investigate a generic compressible two-fluid model with unequal pressures in R3. Under the help of the “effective viscous flux”, we successfully remove the technical smallness condition (see Evje-Wang-Wen [Arch Rational Mech Anal 221:1285-1316, 2016]) to establish the global existence of strong solutions for initial perturbations near equilibrium in H2. Furthermore, when initial perturbations additionally belong to L1, we obtain optimal decay rates for the solution and its spatial derivatives (from first to second order) using high-low frequency decomposition and time-weighted energy methods.


邀请人:王华桥


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