Local well‐posedness for an isentropic compressible Ginzburg–Landau–Navier–Stokes with vacuum
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201900249
Abstract: In this work, we prove the local well‐posedness of local strong solutions to an isentropic compressible Ginzburg–Landau–Navier–Stokes system with vacuum in a bounded domain Ω⊂R3 . read more here.
Keywords: landau navier; isentropic compressible; ginzburg landau; compressible ginzburg ... See more keywords
Construction of a Blow-Up Solution for the Complex Ginzburg–Landau Equation in a Critical Case
Sign Up to like & getrecommendations! Published in 2017 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-017-1211-3
Abstract: We construct a solution for the Complex Ginzburg–Landau equation in a critical case which blows up in finite time T only at one blow-up point. We also give a sharp description of its profile. The… read more here.
Keywords: solution complex; complex ginzburg; ginzburg landau; equation critical ... See more keywords
Symmetry Breaking and Restoration in the Ginzburg–Landau Model of Nematic Liquid Crystals
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DOI: 10.1007/s00332-018-9442-5
Abstract: In this paper we study qualitative properties of global minimizers of the Ginzburg–Landau energy which describes light–matter interaction in the theory of nematic liquid crystals near the Fréedericksz transition. This model depends on two parameters:… read more here.
Keywords: nematic liquid; ginzburg landau; liquid crystals; model ... See more keywords
Extended Time-Dependent Ginzburg–Landau Theory
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DOI: 10.1007/s10909-021-02580-0
Abstract: We formulate the gauge invariant Lorentz covariant Ginzburg-Landau theory which describes nonstationary regimes: relaxation of a superconducting system accompanied by eigen oscillations of internal degrees of freedom (Higgs mode and Goldstone mode), and also forced… read more here.
Keywords: ginzburg landau; landau theory; time; theory ... See more keywords
Exponential Runge–Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg–Landau Equations
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DOI: 10.1007/s10915-020-01240-x
Abstract: In this work, we study numerically two-dimensional nonlinear spatial fractional complex Ginzburg–Landau equations. A centered finite difference method is exploited to discretize the spatial variables and leads to a system of the ordinary differential equation,… read more here.
Keywords: fractional complex; complex ginzburg; ginzburg landau; method ... See more keywords
Amplitude death criteria for coupled complex Ginzburg–Landau systems
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DOI: 10.1007/s11071-019-04961-3
Abstract: Amplitude death, which occurs in a system when one or more macroscopic wavefunctions collapse to zero, has been observed in mutually coupled solid-state lasers, analog circuits, and thermoacoustic oscillators, to name a few applications. While… read more here.
Keywords: complex ginzburg; death; amplitude death; ginzburg landau ... See more keywords
Reduction of a Tri-Modal Lorenz Model of Ferrofluid Convection to a Cubic–Quintic Ginzburg–Landau Equation Using the Center Manifold Theorem
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DOI: 10.1007/s12591-021-00565-9
Abstract: The differential geometric method of the center manifold theorem is applied to the magnetic-Lorenz model of ferrofluid convection in an electrically non-conducting ferrofluid. The analytically intractable tri-modal nonlinear autonomous system (magnetic-Lorenz model) is reduced to… read more here.
Keywords: landau equation; ginzburg landau; lorenz model; equation ... See more keywords
On the Generalized Method of Lines Applied to Ginzburg–Landau Type Equations
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DOI: 10.1007/s40819-016-0138-y
Abstract: The main focus of this work is the presentation of some new developments concerning the generalized method of lines (GMOL). We develop some examples about the method related to Ginzburg–Landau type equations. It is worth… read more here.
Keywords: landau type; ginzburg landau; type equations; generalized method ... See more keywords
Regularity Criteria for a Ginzburg–Landau–Navier–Stokes in a Bounded Domain
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DOI: 10.1007/s40840-019-00866-x
Abstract: In this work, we prove some regularity criteria for a Ginzburg–Landau–Navier–Stokes system with the Coulomb gauge in a bounded domain $$\Omega \subset {\mathbb {R}}^3\,$$ Ω ⊂ R 3 . read more here.
Keywords: regularity criteria; ginzburg landau; landau navier; criteria ginzburg ... See more keywords
Coupled complex Ginzburg–Landau systems with saturable nonlinearity and asymmetric cross-phase modulation
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DOI: 10.1016/j.aop.2018.07.003
Abstract: Abstract We formulate and study dynamics from a complex Ginzburg–Landau system with saturable nonlinearity, including asymmetric cross-phase modulation (XPM) parameters. Such equations can model phenomena described by complex Ginzburg–Landau systems under the added assumption of… read more here.
Keywords: ginzburg landau; ginzburg; complex ginzburg; saturable nonlinearity ... See more keywords
Ginzburg-Landau free energy for molecular fluids: Determination and coarse-graining
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DOI: 10.1016/j.cplett.2016.12.052
Abstract: Abstract Using molecular simulation, we determine Ginzburg-Landau free energy functions for molecular fluids. To this aim, we extend the Expanded Wang-Landau method to calculate the partition functions, number distributions and Landau free energies for Ar,… read more here.
Keywords: energy; ginzburg landau; molecular fluids; landau free ... See more keywords