Local well-posedness for incompressible neo-Hookean elastic equations in almost critical Sobolev spaces
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s00526-024-02681-0.pdf
Reference36 articles.
1. Andersson L., Kapitanski, L.: Cauchy problem for incompressible neo-Hookean materials. Arch. Ration. Mech. Anal. 247(2), Paper No. 21, 76 pp (2023)
2. Bahouri, H., Chemin, J.Y., Danchin, R.: Fourier Analysis and Nonlinear Partial Differential Equations, Grundlehren der Mathematischen Wissenschaften, vol. 343. Springer, Heidelberg (2011)
3. Bourgain, J., Li, D.: Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces. Invent. Math. 201(1), 97–157 (2015)
4. Bourgain, J., Li, D.: Strong ill-posedness of the 3D incompressible Euler equation in borderline spaces. Int. Math. Res. Not. 1–110 (2019)
5. Chae, D.: On the well-posedness of the Euler equations in the Triebel–Lizorkin spaces. Commun. Pure Appl. Math. 55(5), 654–678 (2002)
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