Temporal regularity of the solution to the incompressible Euler equations in the end-point critical Triebel-Lizorkin space \(F^{d+1}_{1, \infty}(\mathbb{R}^d)\)
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Publication:6139529
DOI10.1007/S00028-023-00927-6arXiv2303.00487MaRDI QIDQ6139529
Publication date: 19 January 2024
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.00487
Smoothness and regularity of solutions to PDEs (35B65) Singular perturbations in context of PDEs (35B25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
Cites Work
- Hydrodynamics in Besov spaces
- Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces
- Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces
- Vorticity and Incompressible Flow
- Fourier Analysis and Nonlinear Partial Differential Equations
- Existence of Solution for the Euler Equations in a Critical Besov Space (ℝn)
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- On the Euler equations of incompressible fluids
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