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math.AP2015★ 2 cited
A Computational Investigation of the Finite-Time Blow-Up of the 3D Incompressible Euler Equations Based on the Voigt Regularization
Adam Larios, Mark Petersen, Edriss S. Titi +1
We report the results of a computational investigation of two blow-up criteria for the 3D incompressible Euler equations. One criterion was proven in a previous work, and a related…
math.AP2015
A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization
Adam Larios, Edriss S. Titi
We propose a new blow-up criterion for the 3D Euler equations of incompressible fluid flows, based on the 3D Euler-Voigt inviscid regularization. This criterion is similar in chara…
math-ph2015
On the Attractor for the Semi-Dissipative Boussinesq Equations
Animikh Biswas, Ciprian Foias, Adam Larios
In this article, we study the long time behavior of solutions of a variant of the Boussinesq system in which the equation for the velocity is parabolic while the equation for the t…