Home Contact Chinese CAS
Home  About Us    Research     People   International Cooperation   News     Papers   Education & Training  Join Us
Location: Home > Research > Colloquia & Seminars

Formation of singularities in solutions to the Cauchy problem of compressible radiation hydrodynamics equations with vacuum
【2013.11.30 4:00pm,S712】

 Date:03-12-2013 Page Views:
Print
Text Size: A A A
Close

 2013-11-28 

  Colloquia & Seminars 

  Speaker

  Prof.Yachun LI,Shanghai Jiao Tong University

  Title

     Formation of singularities in solutions to the Cauchy problem of compressible radiation hydrodynamics equations with vacuum              

  Time

  2013.11.30 4:00pm                           

  Venue

  S712

  Abstract

 We study the Cauchy problem for multi-dimensional compressible radiation hydrodynamics equations with vacuum. First, we present some sufficient conditions on the blow-up of smooth solutions in multi-dimensional space. Then, we obtain the invariance of the support of density of the smooth solutions with compactly supported initial mass density by the property of the system under the vacuum state. Based on this, we prove that we cannot get a global classical solution no matter how small the initial data are, as long as the initial mass density is compactly supported. Finally, we will see that some of the results that we obtained are still valid for the isentropic flows with degenerate viscosity coefficients as well as for 1-D case.

  Affiliation

 

[ Close ]  [ Top ]
  Copyright © 2012, All Rights Reserved, National Center for Mathematics and Interdisciplinary Sciences, CAS
Tel: 86-10-62613242 Fax: 86-10-62616840 E-mail: ncmis@amss.ac.cn