Mathematical and numerical analysis of a stratigraphic model

Véronique Gervais; Roland Masson

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Displaying similar documents to “Mathematical and numerical analysis of a stratigraphic model”

Homogenization of ferromagnetic multilayers in the presence of surface energies

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...

Rothe time-discretization method for a nonlocal problem arising in thermoelasticity.

Merazga, Nabil, Bouziani, Abdelfatah (2005)

Journal of Applied Mathematics and Stochastic Analysis

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Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation.

Merazga, Nabil, Bouziani, Abdelfatah (2003)

Abstract and Applied Analysis

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On the local integrability and boundedness of solutions to quasilinear parabolic systems.

Giorgi, Tiziana, O'Leary, Mike (2004)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Stabilization of a hybrid system: An overhead crane with beam model.

Feireisl, E., O'Dowd, G. (2000)

Portugaliae Mathematica

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Renormalized solution for nonlinear degenerate problems in the whole space

Mohamed Maliki, Adama Ouedraogo (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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We consider the general degenerate parabolic equation : $u_{t} - Δ b (u) + d i v \tilde{F} (u) = f in Q =] 0, T [\times ℝ^{N}, T > 0 .$ We suppose that the flux $\tilde{F}$ is continuous, $b$ is nondecreasing continuous and both functions are not necessarily Lipschitz. We prove the existence of the renormalized solution of the associated Cauchy problem for $L^{1}$ initial data and source term. We establish the uniqueness of this type of solution under a structure condition $\tilde{F} (r) = F (b (r))$ and an assumption on the modulus of continuity of $b$ . The novelty of this work is...

Conditions of Prodi-Serrin's type for local regularity of suitable weak solutions to the Navier-Stokes equations

Zdeněk Skalák (2002)

Commentationes Mathematicae Universitatis Carolinae

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In the context of suitable weak solutions to the Navier-Stokes equations we present local conditions of Prodi-Serrin’s type on velocity $𝐯$ and pressure $p$ under which $(𝐱_{0}, t_{0}) \in Ω \times (0, T)$ is a regular point of $𝐯$ . The conditions are imposed exclusively on the outside of a sufficiently narrow space-time paraboloid with the vertex $(𝐱_{0}, t_{0})$ and the axis parallel with the $t$ -axis.

A two-dimensional Landau-Lifshitz model in studying thin film micromagnetics.

Li, Jingna (2009)

Abstract and Applied Analysis

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