Add to ORKGFinite-time singularities occurring in mathematical models of free-surface flows indicate that important qualitative changes are taking place; for problems in solid and fluid mechanics this includes topological transitions-blow-up and pinch-off. For many problems, the dynamics leading to the formation of such singularities are described by self-similar solutions of the governing nonlinear partial differential equations. We present an analytical and numerical study of these similarity solutions and discuss their stability
Fluid-fluid interfaces are incredibly complex physical structures. Imbued with an excess energy—or i...
A new formulation and new methods are presented for computing the motion of fluid interfaces with su...
© 2018 Cambridge University Press. The evolution towards a finite-time singularity of the Navier-Sto...
Free surface flows where the shape of the interface separating two or more phases or liquids are unk...
In light of the question of finite-time blow-up vs. global well-posedness of solutions to problems i...
A thin liquid film coating a planar horizontal substrate may be unstable to perturbations in the fil...
In fluid dynamics, an interface splash singularity occurs when a locally smooth interface s...
Phase transitions can be modeled by the motion of an interface between two locally stable phases. A ...
We prove that the 3-D free-surface incompressible Euler equations with regular initial geometries an...
The break-up of a liquid thread or drop under the influence of capillary forces has been the subject...
AbstractIn this paper we study 1D equations with nonlocal flux. These models have resemblance of the...
Whether the three-dimensional (3D) incompressible Euler equations can develop a finite-time singular...
We prove that the 3-D free-surface incompressible Euler equations with regular initial geom...
The dynamics of surface diffusion describes the motion of a surface with its normal velocity given b...
The dynamics of surface diffusion describes the motion of a surface with its normal velocity given b...
Fluid-fluid interfaces are incredibly complex physical structures. Imbued with an excess energy—or i...
A new formulation and new methods are presented for computing the motion of fluid interfaces with su...
© 2018 Cambridge University Press. The evolution towards a finite-time singularity of the Navier-Sto...
Free surface flows where the shape of the interface separating two or more phases or liquids are unk...
In light of the question of finite-time blow-up vs. global well-posedness of solutions to problems i...
A thin liquid film coating a planar horizontal substrate may be unstable to perturbations in the fil...
In fluid dynamics, an interface splash singularity occurs when a locally smooth interface s...
Phase transitions can be modeled by the motion of an interface between two locally stable phases. A ...
We prove that the 3-D free-surface incompressible Euler equations with regular initial geometries an...
The break-up of a liquid thread or drop under the influence of capillary forces has been the subject...
AbstractIn this paper we study 1D equations with nonlocal flux. These models have resemblance of the...
Whether the three-dimensional (3D) incompressible Euler equations can develop a finite-time singular...
We prove that the 3-D free-surface incompressible Euler equations with regular initial geom...
The dynamics of surface diffusion describes the motion of a surface with its normal velocity given b...
The dynamics of surface diffusion describes the motion of a surface with its normal velocity given b...
Fluid-fluid interfaces are incredibly complex physical structures. Imbued with an excess energy—or i...
A new formulation and new methods are presented for computing the motion of fluid interfaces with su...
© 2018 Cambridge University Press. The evolution towards a finite-time singularity of the Navier-Sto...