Instantaneous gap loss of Sobolev regularity for the 2D incompressible Euler equations-Reference-Cited by-同舟云学术

Instantaneous gap loss of Sobolev regularity for the 2D incompressible Euler equations

Published:2024-07-15 Issue:10 Volume:173 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Córdoba Diego¹,Martínez-Zoroa Luis²,Ożański Wojciech S.³

Affiliation:

1. Instituto de Ciencias Matemáticas, Madrid, Spain

2. Department of Mathematics and Computer Science, University of Basel, Basel, Switzerland

3. Department of Mathematics, Florida State University, Tallahassee, Florida, USA, and Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland

Publisher

Duke University Press

Reference41 articles.

1. A. Kiselev and V. Šverák, Small scale creation for solutions of the incompressible two-dimensional Euler equation, Ann. of Math. (2) 180 (2014), no. 3, 1205–1220.

2. A. Zlatoš, Exponential growth of the vorticity gradient for the Euler equation on the torus, Adv. Math. 268 (2015), 396–403.

3. G. ALBERTI, G. CRIPPA, and A. L. MAZZUCATO, Loss of regularity for the continuity equation with non-Lipschitz velocity field, Ann. PDE 5 (2019), no. 1, paper no. 9.

4. D. ALBRITTON, E. BRUÉ, M. COLOMBO, C. DE LELLIS, V. GIRI, M. JANISCH, and H. KWON, Instability and Non-uniqueness for the 2D Euler Equations, After M. Vishik, Ann. Math. Stud. 219, Princeton Univ. Press, Princeton, 2024.

5. C. BARDOS and E. TITI, Loss of smoothness and energy conserving rough weak solutions for the 3d Euler equations, Discrete Contin. Dyn. Sys. Ser. S 3 (2010), no. 2, 185–197.

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