The De Giorgi Method for Nonlocal Fluid Dynamics

DOI10.1007/978-3-0348-0191-1_1zbMath1357.35249OpenAlexW97658911MaRDI QIDQ2857014

Luis A. Caffarelli, Alexis F. Vasseur

Publication date: 31 October 2013

Published in: Nonlinear Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0191-1_1

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

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Cites Work

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Global well-posedness in the super-critical dissipative quasi-geostrophic equations
• A new proof of partial regularity of solutions to Navier-Stokes equations
• Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations
• Euler Equations, Navier-Stokes Equations and Turbulence
• On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations
• Regularity of the free boundary of an American option on several assets
• Partial regularity of suitable weak solutions of the navier-stokes equations
• On the Regularity Conditions for the Dissipative Quasi-geostrophic Equations
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