AbstractFor any curve close enough to a straight line there is a global solution of Euler equations having for all positive time a vortex sheet and admitting the given curve as the initial sheet
We investigate a steady planar flow of an ideal fluid in a (bounded or unbounded) domain $\Omega\sub...
By exploring a local geometric property of the vorticity field along a vortex filament, we establish...
In this paper, we will introduce the inviscid vortex stretching equation, which is a model equation ...
29 pagesIn this paper, we are interested in the global persistence regularity for the 2D incompressi...
We present an alpha regularization of the Birkhoff-Rott equation, induced by the two-dimensional Eul...
One of the most challenging questions in fluid dynamics is whether the incompressible Euler equation...
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOFAPERJ - FUNDAÇÃO DE AMPARO À PE...
We prove that a stationary solution of vortex sheet equations is a circle if and only if a vortex sh...
The question of energy concentration in approximate solution sequences $u^\epsilon$, as $\epsilon \t...
We establish the existence and uniqueness of smooth solutions with large vorticity and weak solution...
AbstractWe consider the 3-D axisymmetric incompressible Euler equations without swirls with vortex-s...
We study the existence of stationary classical solutions of the incompressible Euler equation in the...
Under a natural stability condition on the pressure, it is known that for small irrotational initial...
Abstract. We construct a class of examples of initial vorticities for which the solution to the Eule...
A classical problem in fluid mechanics is the motion of an axisymmetric vortex sheet evolving under ...
We investigate a steady planar flow of an ideal fluid in a (bounded or unbounded) domain $\Omega\sub...
By exploring a local geometric property of the vorticity field along a vortex filament, we establish...
In this paper, we will introduce the inviscid vortex stretching equation, which is a model equation ...
29 pagesIn this paper, we are interested in the global persistence regularity for the 2D incompressi...
We present an alpha regularization of the Birkhoff-Rott equation, induced by the two-dimensional Eul...
One of the most challenging questions in fluid dynamics is whether the incompressible Euler equation...
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOFAPERJ - FUNDAÇÃO DE AMPARO À PE...
We prove that a stationary solution of vortex sheet equations is a circle if and only if a vortex sh...
The question of energy concentration in approximate solution sequences $u^\epsilon$, as $\epsilon \t...
We establish the existence and uniqueness of smooth solutions with large vorticity and weak solution...
AbstractWe consider the 3-D axisymmetric incompressible Euler equations without swirls with vortex-s...
We study the existence of stationary classical solutions of the incompressible Euler equation in the...
Under a natural stability condition on the pressure, it is known that for small irrotational initial...
Abstract. We construct a class of examples of initial vorticities for which the solution to the Eule...
A classical problem in fluid mechanics is the motion of an axisymmetric vortex sheet evolving under ...
We investigate a steady planar flow of an ideal fluid in a (bounded or unbounded) domain $\Omega\sub...
By exploring a local geometric property of the vorticity field along a vortex filament, we establish...
In this paper, we will introduce the inviscid vortex stretching equation, which is a model equation ...
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