Haut PDF Implicit Kinetic Schemes for Scalar Conservation Laws
Implicit Kinetic Schemes for Scalar Conservation Laws
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Convergence of the Finite Volume Method for scalar conservation laws with multiplicative noise: an approach by kinetic formulation
... fluxes for the approximation of scalar first-order conservation laws with multiplicative, compactly supported ...framework for the analysis of the convergence of approximations to ...
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Scalar conservation laws with rough (stochastic) fluxes
... 18] for the theory of pathwise stochastic viscosity solution of fully nonlinear first- and second-order stochastic pde including stochastic Hamilton-Jacobi ...implemented for conservation laws ...
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Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws
... FOR UNCERTAIN SCALAR CONSERVATION LAWS ...discretization schemes for conservation laws with stochastic ...used for the deter- ministic discretization, while ...
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A Bhatnagar-Gross-Krook approximation to scalar conservation laws with discontinuous flux
... Our purpose here is to apply the kinetic formulation of [3] to show the convergence of the BGK approximation. To this end we first study the BGK equation itself in § 2. In § 3 we introduce the kinetic ...
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Solutions of kinetic equations related to non-local conservation laws
... the kinetic model have to satisfy in order that our study ...the kinetic equation and the non-local scalar ...solutions for the kinetic equa- tion according to the method ...hypotheses. ...
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L2 formulation of multidimensional scalar conservation laws
... but for p = 2 ...space for entropy solutions to multidimensional scalar conservation laws, provided a different formulation is used, based on a combination of level- set, kinetic ...
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Scalar conservation laws with rough (stochastic) fluxes; the spatially dependent case
... The kinetic formulation for smooth ...the kinetic theory of scalar conservation laws and we show that it allows to define a change of variable along the “kinetic” ...
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Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes
... is, for (1.1), no bounded variation estimates are known either for the solution u or for the approximations u ∆t ...generalized kinetic solutions and new energy estimates (see Lemma ...
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Scalar conservation laws with rough (stochastic) fluxes; the spatially dependent case
... The kinetic formulation for smooth ...the kinetic theory of scalar conservation laws and we show that it allows to define a change of variable along the “kinetic” ...
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A BGK approximation to scalar conservation laws with discontinuous flux
... Our purpose here is to apply the kinetic formulation of [BV06] to show the convergence of the BGK approximation. To this aim, we first study the BGK equation in itself in Section 2. In Section 3, we introduce the ...
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Finite volume schemes for constrained conservation laws
... ), for the traces of G-entropy process ...a kinetic interpretation of the problem; it could be interesting to extend their idea to our ...principle for G-entropy solutions: Proposition ...
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Stability estimates for non-local scalar conservation laws
... 7] for specific classes of scalar equations in one space-dimension, and in [1] for multi- dimensional systems of equations coupled through the non-local ...volume schemes, while L ...
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Optimal Regularizing Effect for Scalar Conservation Laws
... effect for this type of solutions of (2) has been studied so far by using a kinetic formulation of the scalar conservation law: see [27] for the original contribution, [22] for ...
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Microscopic local conservation laws for classical fluids
... In the 1960’s, Jacques Yvon was professor of physics at the University of Paris. Beforehand, he had directed the Department of physics and nuclear reactors at Saclay. He therefore asked Cirano De Dominicis, then myself, ...
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Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result
... The time-dependent variable y denotes the bus position. When the traffic conditions allow it, the bus moves at its own maximal speed denoted by V b < V . When the surrounding traffic is too dense, the bus adapts its ...
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Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit
... coupled) schemes are known to be unstable, irrespectively of the discretization ...of implicit coupling, we have seen that the exact evaluation of the cross-derivative of the Jacobian (shape terms) leads to ...
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High frequency waves and the maximal smoothing effect for nonlinear scalar conservation laws
... 1 for a well chosen phase and proved for a particular sequence of smooth solutions (without shocks on a ...s, for entropy solutions and for positive time, satisfies s ≤ α for a ball of ...
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Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws
... 4 for one-dimensional conservation laws requires further refinement for solving the general nonlinear geometric optics for multidimensional scalar conservation ...
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Exact controllability of scalar conservation laws with strict convex flux
... then for ρ( j + A) < T and from (3.25), (3.26), for each j, {f 0 (b m,j ) } m ∈N is bounded in total variation ...∞ for all j, ...that for every j, f 0 (b m,j ) → f 0 (b j ) as m → ∞ in L ...
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