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Limiting profile of blow-up solutions for the Gross-Pitaevskii equation

✍ Scribed by ShiHui Zhu; Jian Zhang; XiaoGuang Li

Book ID
107347869
Publisher
SP Science China Press
Year
2009
Tongue
English
Weight
267 KB
Volume
52
Category
Article
ISSN
1674-7283

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We study the decay of the travelling waves of finite energy in the Gross-Pitaevskii equation in dimension greater than three and prove their uniform convergence to a constant of modulus one at infinity.

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## Communicated by Marek Fila We consider the blow-up of solutions for a semilinear reaction-diffusion equation with exponential reaction term. It is known that certain solutions that can be continued beyond the blow-up time possess a non-constant self-similar blowup profile. Our aim is to find th