18 datasets found

This paper deals with the design of adaptive anisotropic discretization schemes for conservation laws with stochastic parameters. A Finite Volume scheme is used for...

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This thesis is devoted to the study of nonlinear hyperbolic systems of conservation laws with source terms allowed to become stiff. Applications come for the largest...

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The objective is to improve the stability and accuracy of finite volume spatial discretization on unstructured grids. The interest lies in the growing use of finite...

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The manuscript presents my research on hyperbolic Partial Differential Equations (PDE), especially on conservation laws. My works began with this thought in my mind:...

In this thesis, the well-posedness of partial differential equations and optimal control problems are studied. The Cauchy problems associated with hyperbolic...

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Goal of this thesis is to study four problems. In chapters 3-5, we consider scalar conser- vation law in one space dimension with strictly convex flux. First problem...

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The early steps of activation are crucial in deciding the fate of T-cells leading to the proliferation. These steps strongly depend on the initial conditions,...

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