### Relationships among transforms, convolutions, and first variations.

Kim, Jeong Gyoo, Ko, Jung Won, Park, Chull, Skoug, David (1999)

International Journal of Mathematics and Mathematical Sciences

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Kim, Jeong Gyoo, Ko, Jung Won, Park, Chull, Skoug, David (1999)

International Journal of Mathematics and Mathematical Sciences

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V.Lj. Kocic (1980)

Publications de l'Institut Mathématique [Elektronische Ressource]

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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.

Toyohiko Aiki, Hitoshi Imai (2000)

Czechoslovak Mathematical Journal

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Marhoune, A.L., Lakhal, F. (2009)

Journal of Applied Mathematics and Stochastic Analysis

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Kim, Bong Jin, Kim, Byoung Soo, Skoug, David (2004)

International Journal of Mathematics and Mathematical Sciences

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Matsumoto, Hiroyuki, Taniguchi, Setsuo (2002)

Electronic Journal of Probability [electronic only]

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Goard, Joanna (2006)

Journal of Applied Mathematics and Decision Sciences

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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 $t\to \infty $ 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...

Dedić, Ljuban (1991)

Publications de l'Institut Mathématique. Nouvelle Série

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