Results 11 to 20 of about 1,068 (186)
THE GINZBURG–LANDAU EQUATION IN THE HEISENBERG GROUP [PDF]
Communications in Contemporary Mathematics, 2008 We consider a functional related with phase transition models in the Heisenberg group framework. We prove that level sets of local minimizers satisfy some density estimates, that is, they behave as "codimension one" sets. We thus deduce a uniform convergence property of these level sets to interfaces with minimal area.These results are then applied in ...
BIRINDELLI, Isabella, VALDINOCI E.
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Ginzburg–Landau equations and their generalizations
Indagationes Mathematicae, 2023 The Ginzburg-Landau equations were proposed in the superconductivity theory to describe mathematically the intermediate state of superconductors in which the normal conductivity is mixed with the superconductivity. It was understood later on that these equations play an important role also in various problems of mathematical physics.
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Renormalization Group and the Ginzburg-Landau equation [PDF]
Communications in Mathematical Physics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bricmont, J., Kupiainen, A.
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Controllability of the Ginzburg–Landau equation
Comptes Rendus. Mathématique, 2007 This Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg–Landau equation. Null-controllability results are derived from a Carleman estimate and an analysis based upon the theory of sectorial operators.
Rosier, Lionel, Zhang, Bing-Yu
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VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION [PDF]
Forum of Mathematics, Sigma, 2014 AbstractWe establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions. As our main tool, we establish quantitative bounds on several fundamental quantities, including the kinetic energy, that lead to ...
MATTHIAS KURZKE, DANIEL SPIRN
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Nonstationary Superconductivity: Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation
Advances in Condensed Matter Physics, 2011 Transport equations of the macroscopic superfluid dynamics are revised on the basis of a combination of the conventional (stationary) Ginzburg-Landau equation and Schrödinger's equation for the macroscopic wave function (often called the order parameter)
Anatoly A. Barybin
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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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Computers & Mathematics with Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adomian, G., Meyers, R.E.
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