Dissipative solutions and Markov selection to the complete stochastic Euler system

Stochastic Weak Attractor for a Dissipative Euler

Infinite Energy Solutions for Dissipative Euler Equations in R 2

We study the system of Euler equations with the so-called Ekman damping in the whole 2D space. The global well-posedness and dissipativity for the weak infinite energy solutions of this problem in the uniformly local spaces is verified based on the further development of the weighted energy theory for the Navier–Stokes and Euler type problems. In addition, the existence of weak locally compact ...

Dissipative Continuous Euler Flows

We show the existence of continuous periodic solutions of the 3D incompressible Euler equations which dissipate the total kinetic energy.

Stationary solutions for the 2D stochastic dis- sipative Euler equation

A 2-dimensional dissipative Euler equation, subject to a random perturbation is considered. Using compactness arguments, existence of martingale stationary solutions are proved. Mathematics Subject Classification (2000). Primary 60H15, Secondary 76D05.

Supersymmetric Version of the Euler System and Its Invariant Solutions

In this paper, we formulate a supersymmetric extension of the Euler system of equations. We compute a superalgebra of Lie symmetries of the supersymmetric system. Next, we classify the one-dimensional subalgebras of this superalgebra into 49 equivalence conjugation classes. For some of the subalgebras, the invariants have a non-standard structure. For nine selected subalgebras, we use the symme...