A Variational Principle for Pulsating Standing Waves and an Einstein Relation in the Sharp Interface Limit
Sign Up to like & getrecommendations! Published in 2022 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-022-01755-7
Abstract: This paper investigates the connection between the effective, large scale behavior of Allen-Cahn-type energy functionals in periodic media and the sharp interface limit of the associated $L^{2}$ gradient flows. In the first part of the… read more here.
Keywords: pulsating standing; sharp interface; standing waves; interface limit ... See more keywords
Standing Waves of Fixed Period for $$n+1$$n+1 Vortex Filaments
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-019-09768-9
Abstract: AbstractThe $$n+1$$n+1 vortex filament problem has explicit solutions consisting of n parallel filaments of equal circulation in the form of nested polygons uniformly rotating around a central filament which has circulation of opposite sign. We… read more here.
Keywords: fixed period; waves fixed; period vortex; standing waves ... See more keywords
Standing waves for quasilinear Schrödinger equations with indefinite potentials
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.05.024
Abstract: Abstract We consider quasilinear Schrodinger equations in R N of the form − Δ u + V ( x ) u − u Δ ( u 2 ) = g ( u ) , where… read more here.
Keywords: dinger equations; waves quasilinear; equations indefinite; quasilinear schr ... See more keywords
Standing waves in high speed lava channels: A tool for constraining lava dynamics and eruptive parameters
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Volcanology and Geothermal Research"
DOI: 10.1016/j.jvolgeores.2020.106944
Abstract: Abstract Estimates of the rheological properties of lava flows are essential for understanding their emplacement and for hazard assessment. Despite being a well-known phenomenon in water hydraulics, the formation and presence of standing waves in… read more here.
Keywords: lava; discharge rate; lava channels; standing waves ... See more keywords
An experimental study on the coalescence process of binary droplets in oil under ultrasonic standing waves.
Sign Up to like & getrecommendations! Published in 2017 at "Ultrasonics sonochemistry"
DOI: 10.1016/j.ultsonch.2016.07.024
Abstract: The coalescence process of binary droplets in oil under ultrasonic standing waves was investigated with high-speed photography. Three motion models of binary droplets in coalescence process were illustrated: (1) slight translational oscillation; (2) sinusoidal translational… read more here.
Keywords: ultrasonic standing; coalescence; coalescence process; standing waves ... See more keywords
Controlling the Optical Response of 2D Matter in Standing Waves
Sign Up to like & getrecommendations! Published in 2017 at "ACS Photonics"
DOI: 10.1021/acsphotonics.7b00921
Abstract: There is a major development unfolding in photonic technology that promises to impact optical data processing, spectroscopy, and nonlinear/quantum optics. This new direction relates to plasmonics, metamaterials and coherent optics. It exploits the difference in… read more here.
Keywords: controlling optical; response matter; optics; spectroscopy ... See more keywords
On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5038041
Abstract: We consider the stability of standing waves for the focusing nonlinear Schrodinger equation with an inverse-square potential. Using the profile decomposition arguments, we show that in the L2-subcritical case, i.e., 0 read more here.
Keywords: square potential; equation inverse; inverse square; stability ... See more keywords
Strong instability of standing waves for the fractional Choquard equation
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DOI: 10.1063/1.5043473
Abstract: Using variational methods and the potential well theory, strong instability of standing waves for a class of fractional Schrodinger-Choquard equations is established in the mass super-critical and energy sub-critical case.Using variational methods and the potential… read more here.
Keywords: strong instability; instability standing; standing waves; waves fractional ... See more keywords
Existence and instability of normalized standing waves for the fractional Schrödinger equations in the L2-supercritical case
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0006247
Abstract: In this paper, we study the existence and instability of normalized standing waves for the fractional Schrodinger equation i∂tψ = (−Δ)sψ − f(ψ), where 0 < s < 1, f(ψ) = |ψ|pψ with 4sN read more here.
Keywords: existence; instability normalized; normalized standing; waves fractional ... See more keywords
Stable interaction-induced Anderson-like localization embedded in standing waves
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DOI: 10.1088/1367-2630/acca9c
Abstract: We uncover the interaction-induced stable self-localization of few bosons in finite-size disorder-free superlattices. In these nonthermalized multi-particle states, one of the particles forms a superposition of multiple standing waves, so that it provides a quasi-random… read more here.
Keywords: localization; standing waves; like localization; interaction induced ... See more keywords
Standing waves in general relativity
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.100.064025
Abstract: We propose a covariant definition of standing gravitational waves in general relativity. read more here.
Keywords: waves general; general relativity; standing waves;