Remarks on the Blow-up of the Euler Equations and the Related Equations
Remarks on the Blow-up of the Euler Equations and the Related Equations
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DOI：
10.1007/s00220-003-1018-y
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发表时间：
2004-03
影响因子：
2.4
通讯作者：
D. Chae
中科院分区：
文献类型：
--
作者：
D. Chae
考虑无粘不可压缩流体流动的欧拉系统及其在n，n≥2中的扰动。当初始涡度在临界Besov范数下很小时，证明了该扰动欧拉系统在triiebel - lizorkin空间中的全局适定性。证明了欧拉系统及其摄动之间解爆破的比较型定理。我们还研究了方程解的自相似型爆破的可能性。
We consider the Euler system for inviscid incompressible fluid flows, and its perturbations in ℝn,n≥2. We prove global well-posedness of this perturbed Euler system in the Triebel-Lizorkin spaces for initial vorticity which is small in the critical Besov norms. Comparison type theorems about the blow-up of solutions are proved between the Euler system and its perturbations. We also study the possiblity of the self-similar type of blow-up of solutions to the equations.