Conditions for the integrability of a second order nonlinear differential equation.
V.Lj. Kocic (1980)
Publications de l'Institut Mathématique [Elektronische Ressource]
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V.Lj. Kocic (1980)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Marhoune, A.L., Lakhal, F. (2009)
Journal of Applied Mathematics and Stochastic Analysis
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Toyohiko Aiki, Hitoshi Imai (2000)
Czechoslovak Mathematical Journal
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Temur A. Jangveladze, Zurab V. Kiguradze (2010)
Applications of Mathematics
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The nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is considered. The asymptotic behavior as of solutions for two initial-boundary value problems are studied. The problem with non-zero conditions on one side of the lateral boundary is discussed. The problem with homogeneous boundary conditions is studied too. The rates of convergence are given. Results presented show the difference between stabilization characters of solutions...
Goard, Joanna (2006)
Journal of Applied Mathematics and Decision Sciences
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Bezerra do Ó, João Marcos (1997)
Abstract and Applied Analysis
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Natalie Grunewald, Felix Otto, Cédric Villani, Maria G. Westdickenberg (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We consider the coarse-graining of a lattice system with continuous spin variable. In the first part, two abstract results are established: sufficient conditions for a logarithmic Sobolev inequality with constants independent of the dimension (Theorem 3) and sufficient conditions for convergence to the hydrodynamic limit (Theorem 8). In the second part, we use the abstract results to treat a specific example, namely the Kawasaki dynamics with Ginzburg–Landau-type potential.
Morrison, John A., Knessl, Charles (2008)
Journal of Applied Mathematics and Stochastic Analysis
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