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Algirdas Ambrazevičius (2010)
Open Mathematics
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A model of coupled parabolic and ordinary differential equations for a heterogeneous catalytic reaction is considered and the existence and uniqueness theorem of the classic solution is proved.
The, Anh Cung, Manh, Toi Vu (2011)
International Journal of Mathematics and Mathematical Sciences
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Giorgi, Tiziana, O'Leary, Mike (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Santos, M.L., Soares, U.R. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Zaouch, Fouzi (2005)
Abstract and Applied Analysis
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Kévin Santugini-Repiquet (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the homogenization process of ferromagnetic multilayers in the presence of surface energies: super-exchange, also called interlayer exchange coupling, and surface anisotropy. The two main difficulties are the non-linearity of the Landau-Lifshitz equation and the absence of a good sequence of extension operators for the multilayer geometry. First, we consider the case when surface anisotropy is the dominant term, then the case when the magnitude of the super-exchange interaction...
Philippe Laurençot, Dariusz Wrzosek (1998)
Colloquium Mathematicae
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Marinoschi, Gabriela (2004)
Abstract and Applied Analysis
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Philippe Angot, Vít Dolejší, Miloslav Feistauer, Jiří Felcman (1998)
Applications of Mathematics
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We present the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Nonlinear convective terms are approximated with the aid of a monotone finite volume scheme considered over the finite volume barycentric mesh, whereas the diffusion term is discretized by piecewise linear nonconforming triangular finite elements. Under the assumption that the triangulations...
Wang, Chunpeng, Yin, Jingxue (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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