The Blow-up of Solutions for Two-Dimensional Irrotational Compressible Euler Equations |
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Authors: | Hui Cheng Yin Qin Zheng Shu Ze Jin |
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Affiliation: | (1) Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China |
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Abstract: | For two-dimensional irrotational compressible Euler equations with initial data where that is a small perturbation from a constant state, we prove that the first-order derivatives of ρ, υ blow-up at the blow-up time, while ρ, υ remain continuous. In particular, in the irrotational case we prove S. Alinhac's statement. Project supported bythe Tianyuan Foundation of China and Lab. of Math. for Nonlinear Problems. Fudan. Univ. |
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Keywords: | Lifespan Commutator method Nash-Moser iteration |
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