Finite time singularities for the free boundary incompressible Euler equations

Annals of Mathematics ◽

10.4007/annals.2013.178.3.6 ◽

2013 ◽

Vol 178 (3) ◽

pp. 1061-1134 ◽

Author(s):

Angel Castro ◽

Diego Córdoba ◽

Charles Fefferman ◽

Francisco Gancedo ◽

Javier Gómez-Serrano

Keyword(s):

Free Boundary ◽

Euler Equations ◽

Finite Time ◽

Incompressible Euler Equations ◽

Time Singularities ◽

Incompressible Euler

Download Full-text

On the finite-time singularities of the 3D incompressible Euler equations

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.20138 ◽

2007 ◽

Vol 60 (4) ◽

pp. 597-617 ◽

Author(s):

Dongho Chae

Keyword(s):

Euler Equations ◽

Finite Time ◽

Incompressible Euler Equations ◽

Time Singularities ◽

Incompressible Euler

Download Full-text

Numerical simulations of possible finite time singularities in the incompressible Euler equations: Comparison of numerical methods

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2007.11.006 ◽

2008 ◽

Vol 237 (14-17) ◽

pp. 1932-1936 ◽

Author(s):

Tobias Grafke ◽

Holger Homann ◽

Jürgen Dreher ◽

Rainer Grauer

Keyword(s):

Numerical Methods ◽

Numerical Simulations ◽

Euler Equations ◽

Finite Time ◽

Incompressible Euler Equations ◽

Time Singularities ◽

Incompressible Euler

Download Full-text

On the Free Boundary to the Incompressible Euler Equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-005-0246-7 ◽

2005 ◽

Vol 21 (3) ◽

pp. 389-398

Author(s):

Ye-min Chen

Keyword(s):

Free Boundary ◽

Euler Equations ◽

Incompressible Euler Equations ◽

Incompressible Euler

Download Full-text

An unfinished tale of nonlinear PDEs: Do solutions of 3D incompressible Euler equations blow-up in finite time?

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2005.03.010 ◽

2005 ◽

Vol 205 (1-4) ◽

pp. 215-221 ◽

Author(s):

Y. Pomeau ◽

D. Sciamarella

Keyword(s):

Euler Equations ◽

Finite Time ◽

Blow Up ◽

Nonlinear Pdes ◽

Incompressible Euler Equations ◽

Incompressible Euler

Download Full-text

Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary

Memoirs of the American Mathematical Society ◽

10.1090/memo/1318 ◽

2021 ◽

Vol 270 (1318) ◽

pp. 0-0

Author(s):

Chao Wang ◽

Zhifei Zhang ◽

Weiren Zhao ◽

Yunrui Zheng

Keyword(s):

Free Boundary ◽

Euler Equations ◽

Well Posedness ◽

Incompressible Euler Equations ◽

Incompressible Euler

Download Full-text

A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization

Theoretical and Computational Fluid Dynamics ◽

10.1007/s00162-017-0434-0 ◽

2017 ◽

Vol 32 (1) ◽

pp. 23-34 ◽

Author(s):

Adam Larios ◽

Mark R. Petersen ◽

Edriss S. Titi ◽

Beth Wingate

Keyword(s):

Euler Equations ◽

Finite Time ◽

Blow Up ◽

Computational Investigation ◽

Incompressible Euler Equations ◽

Incompressible Euler

Download Full-text

On the free boundary problem of three-dimensional incompressible Euler equations

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.20226 ◽

2008 ◽

Vol 61 (7) ◽

pp. 877-940 ◽

Author(s):

Ping Zhang ◽

Zhifei Zhang

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Euler Equations ◽

Free Boundary Problem ◽

Three Dimensional ◽

Incompressible Euler Equations ◽

Incompressible Euler

Download Full-text

Finite-time singularity formation for $C^{1,\alpha }$ solutions to the incompressible Euler equations on $\mathbb {R}^3$

Annals of Mathematics ◽

10.4007/annals.2021.194.3.2 ◽

2021 ◽

Vol 194 (3) ◽

pp. 647-727

Author(s):

Tarek Elgindi

Keyword(s):

Euler Equations ◽

Finite Time ◽

Singularity Formation ◽

Time Singularity ◽

Incompressible Euler Equations ◽

Finite Time Singularity ◽

Incompressible Euler

Download Full-text

Traveling vortex pairs for 2D incompressible Euler equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-021-02068-5 ◽

2021 ◽

Vol 60 (5) ◽

Author(s):

Daomin Cao ◽

Shanfa Lai ◽

Weicheng Zhan

Keyword(s):

Euler Equations ◽

Incompressible Euler Equations ◽

Vortex Pairs ◽

Incompressible Euler

Download Full-text

Instability for axisymmetric blow-up solutions to incompressible Euler equations

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2021.02.006 ◽

2021 ◽

Author(s):

Laurent Lafleche ◽

Alexis F. Vasseur ◽

Misha Vishik

Keyword(s):

Euler Equations ◽

Blow Up ◽

Incompressible Euler Equations ◽

Incompressible Euler

Download Full-text