Finite Time Blowup of 2D Boussinesq and 3D Euler Equations with $$C^{1,\alpha }$$ Velocity and Boundary

Author:

Chen JiajieORCID,Hou Thomas Y.

Funder

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference38 articles.

1. Bardos, C., Titi, E.: Euler equations for incompressible ideal fluids. Russ. Math. Surv. 62, 409–451 (2007)

2. Beale, J.T., Kato, T., Majda, A.: Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Commun. Math. Phys. 94(1), 61–66 (1984)

3. Chae, D., Kim, S.-K., Nam, H.-S.: Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations. Nagoya Math. J. 155, 55–80 (1999)

4. Chen, J.: Singularity formation and global well-posedness for the generalized Constantin-Lax-Majda equation with dissipation. arXiv preprintarXiv:1908.09385 (2019)

5. Chen, J.: On the slightly perturbed de gregorio model on $$ {S}^1$$. arXiv preprintarXiv:2010.12700 (2020)

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