学术报告-王焰金

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2017-07-07

学术报告

题      目:On partially dissipative hyperbolic systems violating the Kawashima condition



报  告  人:王焰金 教授  (邀请人:喻洪俊)

                         厦门大学


时      间:2017-07-06 09:00--10:00

地      点:学院401报告厅

报告人简介:王焰金,厦门大学数学科学学院教授。获得全国百篇优秀博士学位论文奖、福建省高校新世纪优秀人才支持计划。主持国家自然科学基金青年科学基金项目、福建省自然科学杰出青年基金。

摘      要:Consider the Cauchy problem for the quasilinear hyperbolic system of balance laws in multidimensions. The system is partially dissipative in the sense that there is one and only one eigen-amily 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。