Add to ORKGAbstract. Given any possibly unbounded, locally finite link, we show that there exists a smooth diffeomorphism transforming this link into a set of stream (or vortex) lines of a vector field that solves the steady incompressible Euler equation in R3. Furthermore, the diffeomorphism can be chosen arbitrarily close to the identity in any Cr norm
Abstract: We study an incompressible ideal fluid with a free surface that is subject to surface tens...
In this chapter, we consider the 3D incompressible Euler equations. We present classical and recent ...
The purpose of this this paper is to present a new simple proof for the construction of unique solut...
Abstract. Given any possibly unbounded, locally finite link, we show that there exists a smooth diff...
Abstract. We prove the existence of knotted and linked thin vortex tubes for steady solutions to the...
We propose an efficient semi-Lagrangian Characteristic Mapping (CM) method for solving the three-dim...
One of the most challenging questions in fluid dynamics is whether the incompressible Euler equation...
We introduce many families of explicit solutions to the three dimensional incompressible Euler equat...
The robustness of steady solutions of the Euler equations for two-dimensional, incompressible and in...
We consider the two-dimensional Euler flow for an incompressible fluid confined to a smooth domain. ...
The 3D Euler equations, precisely local smooth solutions of class H s with s> 5 / 2 are obtained ...
One of the outstanding open questions in modern applied mathematics is whether solutions of the inco...
One of the outstanding open questions in modern applied mathematics is whether solutions of the inco...
AbstractIn this paper, we first establish a strong convergence criterion of approximate solutions fo...
We consider incompressible Euler flows in terms of the stream function in two dimensions and the vec...
Abstract: We study an incompressible ideal fluid with a free surface that is subject to surface tens...
In this chapter, we consider the 3D incompressible Euler equations. We present classical and recent ...
The purpose of this this paper is to present a new simple proof for the construction of unique solut...
Abstract. Given any possibly unbounded, locally finite link, we show that there exists a smooth diff...
Abstract. We prove the existence of knotted and linked thin vortex tubes for steady solutions to the...
We propose an efficient semi-Lagrangian Characteristic Mapping (CM) method for solving the three-dim...
One of the most challenging questions in fluid dynamics is whether the incompressible Euler equation...
We introduce many families of explicit solutions to the three dimensional incompressible Euler equat...
The robustness of steady solutions of the Euler equations for two-dimensional, incompressible and in...
We consider the two-dimensional Euler flow for an incompressible fluid confined to a smooth domain. ...
The 3D Euler equations, precisely local smooth solutions of class H s with s> 5 / 2 are obtained ...
One of the outstanding open questions in modern applied mathematics is whether solutions of the inco...
One of the outstanding open questions in modern applied mathematics is whether solutions of the inco...
AbstractIn this paper, we first establish a strong convergence criterion of approximate solutions fo...
We consider incompressible Euler flows in terms of the stream function in two dimensions and the vec...
Abstract: We study an incompressible ideal fluid with a free surface that is subject to surface tens...
In this chapter, we consider the 3D incompressible Euler equations. We present classical and recent ...
The purpose of this this paper is to present a new simple proof for the construction of unique solut...