McKay correspondence for Landau-Ginzburg models [PDF]
, 2009 In this paper we prove an analogue of the McKay correspondence for Landau-Ginzburg models. Our proof is based on the ideas introduced by T. Bridgeland, A. King and M.
Quintero Velez, A.
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On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling [PDF]
, 2005 We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling A_t= \Delta A +\mu A + c A^3 -A^5 -k A (\int_{R^n} A^2\,dx).
Winter, M, Wei, J
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Advanced operator-splitting-based semi-implicit spectral method to solve the binary phase-field crystal equations with variable coefficients [PDF]
, 2009 We present an efficient method to solve numerically the equations of dissipative dynamics of the binary phase-field crystal model proposed by Elder et al. [Phys. Rev. B 75, 064107 (2007)] characterized by variable coefficients.
Granasy, L +11 more
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Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations [PDF]
, 2008 The superpotential in the Landau-Ginzburg construction of solutions to the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations is modified to include logarithmic terms.
James T. Ferguson +3 more
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East European Journal of Physics, 2020 In this paper we studied the weakly nonlinear stage of stationary convective instability in a nonuniformly rotating layer of an electrically conductive fluid in an axial uniform magnetic field under the influence of: a) temperature modulation of the ...
Michael I. Kopp +2 more
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Condensed Matter, 2023 Studies involving vortexes in hybrid superconducting devices and their interactions with different components inside samples are important for reaching higher values of critical parameters in superconducting materials.
Jesús González +2 more
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The asymptotic behavior of the stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations
Boundary Value Problems, 2020 The stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations (KS-GL) perturbed by additive noises is investigated in this paper. By making careful analysis, we first consider the existence and uniqueness of the solution with initial-boundary
Lin Lin, Mei Li
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Frequency-Uniform Decomposition, Function Spaces , and Applications to Nonlinear Evolution Equations
Journal of Function Spaces and Applications, 2013 By combining frequency-uniform decomposition with (), we introduce a new class of function spaces (denoted by ). Moreover, we study the Cauchy problem for the generalized NLS equations and Ginzburg-Landau equations in .
Shaolei Ru, Jiecheng Chen
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Electrodynamics of s-Wave Superconductors Using First-Order Formalism
Condensed Matter, 2017 In this paper we give a derivation of a system of equations which generalize the London brothers and Ginzburg–Landau systems of equations, to describe the electrodynamics of s-wave superconductors.
Naoum Karchev
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Ginzburg–Landau equations involving different effects and their solitary waves
Partial Differential Equations in Applied MathematicsGinzburg–Landau (GL) equations describe a wide range of phenomena involving superconductivity, superfluidity, etc. In the present paper, Ginzburg–Landau equations involving distinct laws are considered, and as a consequence, their solitary waves in the ...
K. Hosseini +5 more
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