报告标题:Global Classical Solutions to Partially Dissipative Quasilinear Hyperbolic Systems Violating the Kawashima Condition

报 告 人：曲鹏   复旦大学

报告摘要：This talk would discuss the Cauchy problem for the quasilinear hyperbolic system of balance laws in  Rd, d ≥ 2. The system is partially dissipative in the sense that there is an eigen-family violating the Kawashima condition. By imposing certain supplementary degeneracy conditions with respect to the non-dissipative eigen-family, global unique smooth solutions near constant equilibria are constructed. The proof is based on the introduction of the partially normalized coordinates, a delicate structural analysis, a family of scaled energy estimates with minimum fractional derivative counts and a refined decay estimates of the dissipative components of the solution. This talk is based on the collaboration with Prof. Yanjin Wang.

报告时间:6月3日上午9:00―9:40

报告地点：金沙集团wwW3354CC三楼报告厅

报告人简介： 曲鹏，复旦大学金沙集团wwW3354CC，副研究员。2012年毕业于复旦大学金沙集团wwW3354CC，2012-2014年于香港中文大学做博士后研究，2015年获中国数学会钟家庆数学奖、2016年获中国工业与应用数学学会优秀青年学者奖。其主要从事非线性偏微分方程理论、控制及应用研究，特别是在双曲型方程解的适定性等方面做了突出成果，已发表十多篇学术论文，多篇论文发表于国际权威期刊Adv.Math., Arch. Rational Mech. Anal., J. Math. Pures Appl., ESAIM Control Optim. Calc. Var., SIAM J. Math. Anal., J. Diff. Equ.