Frontiers in Applied Mathematics and StatisticsOncolytic virotherapy is a promising targeted cancer treatment that employs viruses, which selectively infect tumor cells. Although its clinical efficiency has remained limited and it is often used in conjunction with other therapies, advances in genetic
Tejas Bansod, Thomas Hillen
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Asymptotic analysis of a secondary bifurcation of the one-dimensional Ginzburg-Landau equations of superconductivity [PDF]
, 2000 The bifurcation of asymmetric superconducting solutions from the normal solution is considered for the one-dimensional Ginzburg--Landau equations by the methods of formal asymptotics.
Chapman, Stephen +6 more
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Bistability in the Complex Ginzburg-Landau Equation with Drift [PDF]
, 2009 Properties of the complex Ginzburg-Landau equation with drift are studied focusing on the Benjamin-Feir stable regime. On a finite interval with Neumann boundary conditions the equation exhibits bistability between a spatially uniform time-periodic state
Knobloch, E. +3 more
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Linear and Weakly Nonlinear Instability of Shallow Mixing Layers with Variable Friction
Advances in Civil Engineering, 2018 Linear and weakly nonlinear instability of shallow mixing layers is analysed in the present paper. It is assumed that the resistance force varies in the transverse direction. Linear stability problem is solved numerically using collocation method.
Irina Eglite, Andrei Kolyshkin
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Controllability of the Ginzburg-Landau equation [PDF]
, 2008 International audienceThis Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg-Landau equation.
Rosier, Lionel +3 more
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Exact soliton solutions, chaotic dynamics, and high-precision simulations for the modified complex Ginzburg–Landau equation [PDF]
AIP AdvancesThis study presents a unified framework for the modified complex Ginzburg–Landau (CGL) equation, addressing key gaps in traditional research, such as the neglect of coupling between fourth-order dispersion and Kerr nonlinearity, as well as improper ...
Zexian Liu +3 more
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The limit theory of the energy-critical complex Ginzburg-Landau equation [PDF]
We study the limit behavior of the solutions to energy-critical complex Ginzburg-Landau equation. We give a rigorous theory of the zero-dispersion limit from energy-critical complex Ginzburg-Landau equation to energy-critical nonlinear heat equation for ...
Guo, Chang-yu +2 more
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Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg-Landau equation. [PDF]
Proc Math Phys Eng Sci, 2020 Kostianko A.
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The Complex Ginzburg-Landau Equation with Weak Initial Data
, 2007 In this paper we investigate the existence and regularity of the solutions to the complex Ginzburg-Landau equation, @ t u = Au+ (a + i )\Deltau \Gamma (b + i¯)juj 2oe u, on the phase space L r;p (R n ) of weighted L p functions in infinite domain ...
Jiahong Wu
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Stability of Moving Fronts in the Ginzburg-landau Equation
, 1994 We use Renormalization Group ideas to study stability of moving fronts in the Ginzburg-Landau equation in one spatial dimension. In particular, we prove stability of the real fronts under complex perturbations.
Kupiainen, Antti, Bricmont, Jean
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