NONLINEAR STABILITY OF PLANAR STEADY EULER FLOWS ASSOCIATED WITH SEMISTABLE SOLUTIONS OF ELLIPTIC PROBLEMS
This paper is devoted to the study of nonlinear stability of steady incompressible Euler flows in two dimensions. We prove that a steady Euler flow is nonlinearly stable in Lp norm of the vorticity if its stream function is a semistable solution of some semilinear elliptic problem with nondecreasing...
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| Format: | Article |
| Language: | English |
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American Mathematical Society
2022
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| Online Access: | View Fulltext in Publisher |