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On a unified breaking onset threshold for gravity waves in deep and intermediate depth water
We revisit the classical but as yet unresolved problem of predicting the breaking onset of 2D
and 3D irrotational gravity water waves. Based on a fully nonlinear 3D boundary element …
and 3D irrotational gravity water waves. Based on a fully nonlinear 3D boundary element …
Formation of shocks for 2D isentropic compressible Euler
We consider the 2D isentropic compressible Euler equations, with pressure law p (ρ)=(1 γ) ρ
γ, with γ> 1. We provide an elementary constructive proof of shock formation from smooth …
γ, with γ> 1. We provide an elementary constructive proof of shock formation from smooth …
The role of self-similarity in singularities of partial differential equations
We survey rigorous, formal and numerical results on the formation of point-like singularities
(or blow-up) for a wide range of evolution equations. We use a similarity transformation of …
(or blow-up) for a wide range of evolution equations. We use a similarity transformation of …
[کتاب][B] Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations
VA Galaktionov, E Mitidieri, SI Pokhozhaev - 2014 - api.taylorfrancis.com
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations Page
1 Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations …
1 Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations …
Rogue waves in nonlinear hyperbolic systems (shallow-water framework)
The formation of rogue waves is studied in the framework of nonlinear hyperbolic systems
with an application to nonlinear shallow-water waves. It is shown that the nonlinearity in the …
with an application to nonlinear shallow-water waves. It is shown that the nonlinearity in the …
Predicting the breaking strength of gravity water waves in deep and intermediate depth
We revisit the classical but as yet unresolved problem of predicting the strength of breaking
2-D and 3-D gravity water waves, as quantified by the amount of wave energy dissipated per …
2-D and 3-D gravity water waves, as quantified by the amount of wave energy dissipated per …
[HTML][HTML] Wave breaking in undular bores generated by a moving weir
If a weir is dragged through a wave flume, the upstream flow takes the form of an undular
bore propagating ahead of the weir. It was found previously in the work of Wilkinson and …
bore propagating ahead of the weir. It was found previously in the work of Wilkinson and …
Unified depth-limited wave breaking detection and dissipation in fully nonlinear potential flow models
A new method is proposed for simulating the energy dissipation resulting from depth-limited
wave breaking, in combination with a universal breaking onset criterion, in two-dimensional …
wave breaking, in combination with a universal breaking onset criterion, in two-dimensional …
Spontaneously stochastic solutions in one-dimensional inviscid systems
In this paper, we study the inviscid limit of the Sabra shell model of turbulence, which is
considered as a particular case of a viscous conservation law in one space dimension with a …
considered as a particular case of a viscous conservation law in one space dimension with a …
Shallow-water sloshing in vessels undergoing prescribed rigid-body motion in three dimensions
New shallow-water equations (SWEs), for sloshing in three dimensions (two horizontal and
one vertical) in a vessel which is undergoing rigid-body motion in 3-space, are derived. The …
one vertical) in a vessel which is undergoing rigid-body motion in 3-space, are derived. The …