The goal of this note is to show that, in a bounded domain Ω ⊂ Rn, with ∂Ω ∈ C2, any weak solution (u(x, t) , p(x, t)) , of the Euler equations of ideal incompressible fluid in Ω × (0 , T) ⊂ Rn× Rt, with the impermeability boundary condition u· n→ = 0 on ∂Ω × (0 , T) , is of constant energy on the interval (0,T), provided the velocity field u∈ L3((0 , T) ; C0,α(Ω ¯)) , with α>13
ABSTRACT. Onsager conjectured that weak solutions of the Euler equa-tions for incompressible fluids ...
For any regularity exponent $\beta<\frac 12$, we construct non-conservative weak solutions to the 3D...
Abstract. In this paper we propose a new point of view on weak so-lutions of the Euler equations, de...
The goal of this note is to show that, in a bounded domain Ω ⊂ Rn, with ∂Ω ∈ C2, any weak solution (...
We consider the incompressible Euler equations in a bounded domain in three space dimensions. Recent...
In 1949, Lars Onsager in his famous note on statistical hydrodynamics conjectured that weak solution...
We prove a version of Onsager’s conjecture on the conservation of energy for the incompressible Eule...
Abstract: We give a simple proof of a result conjectured by Onsager [1] on energy conservation for w...
1. Euler’s equations for ideal incompressible fluid flow 2. Existence of solutions to the Euler equa...
Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured ...
For any α < 1/3, we construct weak solutions to the 3D incompressible Euler equations in the class C...
AbstractIn this article we study the limit α→0 of solutions of the α-Euler equations and the limit α...
Recently the second and fourth authors developed an iterative scheme for obtaining rough solutions o...
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do...
In this paper we give elementary proofs of energy conservation for weak solutions to the Euler and N...
ABSTRACT. Onsager conjectured that weak solutions of the Euler equa-tions for incompressible fluids ...
For any regularity exponent $\beta<\frac 12$, we construct non-conservative weak solutions to the 3D...
Abstract. In this paper we propose a new point of view on weak so-lutions of the Euler equations, de...
The goal of this note is to show that, in a bounded domain Ω ⊂ Rn, with ∂Ω ∈ C2, any weak solution (...
We consider the incompressible Euler equations in a bounded domain in three space dimensions. Recent...
In 1949, Lars Onsager in his famous note on statistical hydrodynamics conjectured that weak solution...
We prove a version of Onsager’s conjecture on the conservation of energy for the incompressible Eule...
Abstract: We give a simple proof of a result conjectured by Onsager [1] on energy conservation for w...
1. Euler’s equations for ideal incompressible fluid flow 2. Existence of solutions to the Euler equa...
Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured ...
For any α < 1/3, we construct weak solutions to the 3D incompressible Euler equations in the class C...
AbstractIn this article we study the limit α→0 of solutions of the α-Euler equations and the limit α...
Recently the second and fourth authors developed an iterative scheme for obtaining rough solutions o...
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do...
In this paper we give elementary proofs of energy conservation for weak solutions to the Euler and N...
ABSTRACT. Onsager conjectured that weak solutions of the Euler equa-tions for incompressible fluids ...
For any regularity exponent $\beta<\frac 12$, we construct non-conservative weak solutions to the 3D...
Abstract. In this paper we propose a new point of view on weak so-lutions of the Euler equations, de...
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