Add to ORKGThe equations of hydrodynamics are nonlinear partial differential equations, so they include the possibility of forming singularities in finite time. This means that hydrodynamic fields become infinite or at least non-smooth at points, lines, or even fractal objects. This mathematical possibility is the price one has to pa
Whether the 3D incompressible Navier-Stokes equations can develop a finite time singularity from smo...
We examine the blow-up claims of the incompressible Euler equations for two flows, the columnar eddi...
AbstractWe present a numerical method of analyzing possibly singular incompressible 3D Euler flows u...
We give a brief overview of the physical significance of singularities in fluid mechanics
Conventional surveys on the existence of singularities in fluid systems for vanishing dissipation ha...
In light of the question of finite-time blow-up vs. global well-posedness of solutions to problems i...
summary:In these notes we give some examples of the interaction of mathematics with experiments and ...
summary:In these notes we give some examples of the interaction of mathematics with experiments and ...
To date it has not been possible to prove whether or not the three-dimensional incompressible Euler ...
Geometric Hydrodynamics has flourished ever since the celebrated 1966 paper of V. Arnold. In this pa...
Some classical and recent results on the Euler equations governing perfect (incompressible and invis...
This paper shows finite time singularity formation for the Muskat problem in a stable regime. The fr...
AbstractTo develop an understanding of singularity formation in vortex sheets, we consider model equ...
This review article offers a survey of the research program focused on a systematic computational se...
29 pagesThe primitive equations (PEs) model large scale dynamics of the oceans and the atmosphere. W...
Whether the 3D incompressible Navier-Stokes equations can develop a finite time singularity from smo...
We examine the blow-up claims of the incompressible Euler equations for two flows, the columnar eddi...
AbstractWe present a numerical method of analyzing possibly singular incompressible 3D Euler flows u...
We give a brief overview of the physical significance of singularities in fluid mechanics
Conventional surveys on the existence of singularities in fluid systems for vanishing dissipation ha...
In light of the question of finite-time blow-up vs. global well-posedness of solutions to problems i...
summary:In these notes we give some examples of the interaction of mathematics with experiments and ...
summary:In these notes we give some examples of the interaction of mathematics with experiments and ...
To date it has not been possible to prove whether or not the three-dimensional incompressible Euler ...
Geometric Hydrodynamics has flourished ever since the celebrated 1966 paper of V. Arnold. In this pa...
Some classical and recent results on the Euler equations governing perfect (incompressible and invis...
This paper shows finite time singularity formation for the Muskat problem in a stable regime. The fr...
AbstractTo develop an understanding of singularity formation in vortex sheets, we consider model equ...
This review article offers a survey of the research program focused on a systematic computational se...
29 pagesThe primitive equations (PEs) model large scale dynamics of the oceans and the atmosphere. W...
Whether the 3D incompressible Navier-Stokes equations can develop a finite time singularity from smo...
We examine the blow-up claims of the incompressible Euler equations for two flows, the columnar eddi...
AbstractWe present a numerical method of analyzing possibly singular incompressible 3D Euler flows u...