Local-in-space blow-up criteria for a class of nonlinear dispersive wave equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.06.031
Abstract: Abstract This paper is concerned with blow-up phenomena for the nonlinear dispersive wave equation on the real line, u t − u x x t + [ f ( u ) ] x − [… read more here.
Keywords: space blow; blow criteria; local space; dispersive wave ... See more keywords
Non-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive term
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124848
Abstract: Abstract We study the initial-boundary-value problem of the fifth-order KdV equation ∂ t u − ∂ x 5 u = c 1 u ∂ x u + c 2 u 2 ∂ x u +… read more here.
Keywords: term; dispersive term; fifth order; problem ... See more keywords
Nonlinear dispersive regularization of inviscid gas dynamics
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DOI: 10.1063/1.5133720
Abstract: Ideal gas dynamics can develop shock-like singularities with discontinuous density. Viscosity typically regularizes such singularities and leads to a shock structure. On the other hand, in 1d, singularities in the Hopf equation can be non-dissipatively… read more here.
Keywords: gas dynamics; gas; nonlinear dispersive; regularization ... See more keywords
Anomalous Correlators in Nonlinear Dispersive Wave Systems
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DOI: 10.1103/physrevx.10.021043
Abstract: An extension to wave turbulence theory shows that in a system of nonlinear waves, correlations among the waves arise, causing ``ghost'' excitations that lead to coherent structures in physical space. read more here.
Keywords: wave systems; anomalous correlators; dispersive wave; nonlinear dispersive ... See more keywords
Derivation of acoustical streaming equations for nonlinear and dispersive fluids.
Sign Up to like & getrecommendations! Published in 2023 at "Ultrasonics"
DOI: 10.2139/ssrn.4199112
Abstract: The equations of streaming generated by an acoustic mod propagating in a nonlinear dispersive medium (exhibiting absorption and dispersion of phase sound speed) are derived with an arbitrarily shaped incident acoustical field assumed. This field… read more here.
Keywords: operator; nonlinear dispersive; dispersion; derivation acoustical ... See more keywords