Existence and Uniqueness of Weak Solutions for the Stochastic Fractional Ginzburg–Landau Equation
In this study, we investigate the existence and uniqueness of weak solutions for a stochastic Ginzburg–Landau equation involving the fractional Laplacian.
Jiaxin Li +4 more
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Stability of the Stochastic Ginzburg–Landau–Newell Equations in Two Dimensions
This paper concerns the 2D stochastic Ginzburg–Landau–Newell equations with a degenerate random forcing. We study the relationship between stationary distributions which correspond to the original and perturbed systems and then prove the stability of the
Jing Wang, Yan Zheng
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Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations
Blow-up phenomena of weakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equations is shown by a straightforward ODE approach, not by the so-called test-function method used in [38] which gives the natural blow-up
Kazumasa Fujiwara +2 more
doaj
This paper employs the Caputo–Hadamard derivative to create the coupled nonlinear fractional Ginzburg–Landau equations. An orthonormal version of the discrete Legendre polynomials is utilized to generate a numerical strategy for this system.
M.H. Heydari, D. Baleanu, M. Bayram
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Paradoxical coexistence of superconductivity and magnetism, and explaining unexpected preferred domain orientations. [PDF]
Sen S, Liu L, Sharma P.
europepmc +1 more source
Numerical Simulations of the Superfluid 3 He Order Parameter Using dyGiLa: A Homogeneous Rapid Quench to B Phase. [PDF]
Lopez-Eiguren A +3 more
europepmc +1 more source
Analytical wave families and stability dynamics in a modified complex Ginzburg-Landau model via the modified extended direct algebraic method. [PDF]
Rateb AE +4 more
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A hybrid analytical-machine learning framework for data-driven modeling of soliton solutions in the complex Ginzburg-Landau equation. [PDF]
Muhammad J, Tedjani AH, Yao F, Younas U.
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