Existence of stable standing waves for the critical fractional Schrödinger equation with an inhomogeneous combined nonlinearity
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10335
Abstract: We study the orbitally stability of standing waves for the L2$$ {L}^2 $$ ‐critical inhomogeneous combined source term fractional nonlinear Schrödinger equation: i∂tu−(−Δ)su+a|x|−b|u|pu+|u|4sNu=0,(t,x)∈ℝ×ℝN$$ i{\partial}_tu-{\left(-\Delta \right)}^su+a{\left|x\right|}^{-b}{\left|u\right|}^pu+{\left|u\right|}^{\frac{4s}{N}}u=0,\left(t,x\right)\in \mathrm{\mathbb{R}}\times {\mathrm{\mathbb{R}}}^N $$ where N2N−1 read more here.
Keywords: x0005e; schr dinger; inhomogeneous combined; dinger equation ... See more keywords
Mass Production of Uniform Embryoid Bodies by Acoustic Standing Waves
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DOI: 10.1002/smtd.202501283
Abstract: Embryoid bodies (EBs) derived from human induced pluripotent stem cells (hiPSCs) provide the basis to obtain any type of organotypic cells and even complex multicellular organoids in 3D cell culture. However, traditional methods for generating… read more here.
Keywords: acoustic standing; production uniform; uniform embryoid; mass production ... See more keywords
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
Controlled mean dynamics of red blood cells by two orthogonal ultrasonic standing waves
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2023.990
Abstract: Abstract A computational model is developed to study the time-averaged mean dynamics of red blood cells (RBCs) driven by the time-averaged mean stress generated by two phase-shifted orthogonal ultrasonic standing waves in a viscous fluid.… read more here.
Keywords: dynamics red; red blood; orthogonal ultrasonic; blood cells ... See more keywords
Controlling the Optical Response of 2D Matter in Standing Waves
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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