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Quantitative estimates for advective equation with compressible flows
发布时间: 2018-10-10     12:46   【返回上一页】 发布人:Didier Bresch,LAMA


  北京师范大学数学科学学院



流体力学的数学理论系列报告

 

 

 报告题目:Quantitative estimates for advective equation with compressible flows 

 

报告人:Didier BreschLAMA, Universit' e de Savoie 

 

时间地点:10月11日上午10:40-11:40, 教八楼309. 

 

报告摘要:In this talk we are interested in quantitative estimates for advective equations with an anelastic constraint in presence of vacuum. More precisely, we derive a quantitative stability estimate and obtain the existence of renormalized solutions. Our main objective is to show the flexibility of the method introduced recently by the authors for the compressible Navier–Stokes system. This method seems to be well adapted in general to provide regularity estimates on the density of compressible transport equations with possible vacuum state and low regularity of the transport velocity field; the advective equation with degenerate anelastic constraint considered here is another good example of that. As a final application we obtain the existence of global renormalized solution to the so-called lake equation with possibly vanishing topography. This is a joint work with P.-E. Jabin (Maryland USA). (Partial results have been published in Annales of Maths..)