Flocking Hydrodynamics with External Potentials
Sign Up to like & getrecommendations! Published in 2019 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-020-01544-0
Abstract: We study the large-time behavior of a hydrodynamic model which describes the collective behavior of continuum of agents, driven by pairwise alignment interactions with additional external potential forcing. The external force tends to compete with… read more here.
Keywords: hydrodynamics; external potentials; flocking hydrodynamics; hydrodynamics external ... See more keywords
Controllable excitation of higher-order rogue waves in nonautonomous systems with both varying linear and harmonic external potentials
Sign Up to like & getrecommendations! Published in 2018 at "Optics Communications"
DOI: 10.1016/j.optcom.2018.01.026
Abstract: Abstract The nonautonomous nonlinear Schrodinger (NLS) equation with both varying linear and harmonic external potentials is investigated and the semirational rogue wave (RW) solution is presented by similarity transformation. Based on the solution, the interactions… read more here.
Keywords: linear harmonic; order; varying linear; higher order ... See more keywords
Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0028065
Abstract: In this paper, we consider the magnetic Ginzburg–Landau equation with external potentials μV(x) for the type II superconductors. We prove, by reduction arguments, that under suitable conditions on V(x), the magnetic Ginzburg–Landau equation with external… read more here.
Keywords: ginzburg landau; magnetic ginzburg; external potentials; landau equation ... See more keywords