Nonlinear stability of sinusoidal Euler flows on a flat two-torus

Author:

Wang Guodong,Zuo Bijun

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference29 articles.

1. Abe, K., Choi, K.: Stability of Lamb dipoles. Arch. Ration. Mech. Anal. 244, 877–917 (2022)

2. Arnold, V.I.: Conditions for nonlinear stability plane curvilinear flow of an idea fluid. Sov. Math. Dokl. 6, 773–777 (1965)

3. Arnold, V.I.: On an a priori estimate in the theory of hydrodynamical stability. Amer. Math. Soc. Transl. 79, 267–269 (1969)

4. Arnold, V. I., Khesin, B. A.: Topological methods in hydrodynamics, 2nd ed. Applied Mathematical Sciences 125, Springer, Cham (2021)

5. Bardos, C., Guo, Y., Strauss, W.: Stable and unstable ideal plane flows. Chinese Ann. Math. Ser. B 23, 149–164 (2002)

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