AbstractWe prove the existence of travelling vortex helices to the Gross–Pitaevskii equation in R3. These solutions have an infinite energy, are periodic in the direction of the axis of the helix and have a degree one at infinity in the orthogonal direction
AbstractThis paper gives an analysis of the movement of n+1 almost parallel filaments or vortices. S...
Kinetic helicity is one of the invariants of the Euler equations that is associated with the topolog...
In this work we consider the gravitating vortex equations. These equations couple a metric over a co...
Abstract: We prove the existence of travelling vortex helices to the Gross-Pitaevskii equation in R3...
We consider the three-dimensional Gross–Pitaevskii equation (Equation presented) and construct trave...
Abstract. We construct traveling wave solutions with vortex helix structures for the Schrödinger ma...
Abstract. Travelling wave solutions to the vortex filament flow generated by elastica pro-duce surfa...
We provide a mathematical proof of the existence of traveling vortex rings solutions to the Gross-Pi...
We consider the three-dimensional Navier–Stokes equations with potential forces and study the helici...
The velocity field in the immediate vicinity of a curved vortex comprises a circulation around the v...
Abstract. We prove the existence of knotted and linked thin vortex tubes for steady solutions to the...
AbstractThe Navier–Stokes–Coriolis system is a simple model for rotating fluids, which allows to stu...
We consider the Euler-alpha regularization of the Birkhoff\u2013Rott equation and compare its soluti...
We consider the Ginzbug–Landau energy in a cylinder in R3, and a canonical approximation for critic...
We present a family of steadily rotating equilibrium states consisting of helically symmetric vortic...
AbstractThis paper gives an analysis of the movement of n+1 almost parallel filaments or vortices. S...
Kinetic helicity is one of the invariants of the Euler equations that is associated with the topolog...
In this work we consider the gravitating vortex equations. These equations couple a metric over a co...
Abstract: We prove the existence of travelling vortex helices to the Gross-Pitaevskii equation in R3...
We consider the three-dimensional Gross–Pitaevskii equation (Equation presented) and construct trave...
Abstract. We construct traveling wave solutions with vortex helix structures for the Schrödinger ma...
Abstract. Travelling wave solutions to the vortex filament flow generated by elastica pro-duce surfa...
We provide a mathematical proof of the existence of traveling vortex rings solutions to the Gross-Pi...
We consider the three-dimensional Navier–Stokes equations with potential forces and study the helici...
The velocity field in the immediate vicinity of a curved vortex comprises a circulation around the v...
Abstract. We prove the existence of knotted and linked thin vortex tubes for steady solutions to the...
AbstractThe Navier–Stokes–Coriolis system is a simple model for rotating fluids, which allows to stu...
We consider the Euler-alpha regularization of the Birkhoff\u2013Rott equation and compare its soluti...
We consider the Ginzbug–Landau energy in a cylinder in R3, and a canonical approximation for critic...
We present a family of steadily rotating equilibrium states consisting of helically symmetric vortic...
AbstractThis paper gives an analysis of the movement of n+1 almost parallel filaments or vortices. S...
Kinetic helicity is one of the invariants of the Euler equations that is associated with the topolog...
In this work we consider the gravitating vortex equations. These equations couple a metric over a co...
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