Colloquium学术报告

国家天元数学中部中心Colloquium报告 | Yury Trakhinin 通讯院士、教授(Sobolev数学研究所)
作者: | 发布时间:2025-11-06 | 点击:

报告题目:On structural stability of shock waves in elastodynamics

报告时间:2025-11-03  10:30--11:30

报  告 人 :Yury Trakhinin  通讯院士、教授(Sobolev数学研究所)

报告地点:雷军科技楼六楼报告厅(601)

Abstract:

We discuss results on the structural stability of shock waves in elastodynamics describing the isentropic motion of compressible neo-Hooken materials. By nonlinear structural stability of a shock wave we mean the local-in-time existence and uniqueness of the discontinuous shock front solution to the corresponding system of hyperbolic conservation laws. We describe finding  2D and 3D structural stability conditions. We also briefly discuss difficulties of the stability analysis for shock waves in nonisentropic elastodynamics (thermoelasticity).

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