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Finite Morse index solutions of weighted elliptic equations and critical exponents
【2014.7.18 10:00am, N226】

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 2014-7-11 

  Colloquia & Seminars 

  Speaker

杜一宏 教授,澳大利亚新英格兰大学

  Title

Finite Morse index solutions of weighted elliptic equations and critical exponents

  Time

2014.7.18 10:00am  

  Venue

N226 

  Abstract

It is well-known that shock will form in finite time for hyperbolic conservation laws from initial compression no matter how small and smooth the data are. Classical results, including P. D. Lax, T. Liu, Li-Zhou-Kong, confirms that when initial data are small near constant states, nonlinear compression does lead to finite time shock formation. A natural puzzle is how this phenomena could be proved for large data. Joint with G. Chen and S. Zhu, we justify this expectation under some reasonable conditions for compressible Euler equations, in both isentropic and adiabatic cases. 

  Affiliation

 

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