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[PDF] Top 20 Implicit Kinetic Schemes for Scalar Conservation Laws

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Implicit Kinetic Schemes for Scalar Conservation Laws

Implicit Kinetic Schemes for Scalar Conservation Laws

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

28

Convergence of the Finite Volume Method for scalar conservation laws with multiplicative noise: an approach by kinetic formulation

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 ... Voir le document complet

44

Scalar conservation laws with rough (stochastic) fluxes

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 ... Voir le document complet

20

Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws

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 ... Voir le document complet

23

A Bhatnagar-Gross-Krook approximation to scalar conservation laws with discontinuous flux

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 ... Voir le document complet

21

Solutions of kinetic equations related to non-local conservation laws

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. ... Voir le document complet

32

L2 formulation of multidimensional scalar conservation laws

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 ... Voir le document complet

24

Scalar conservation laws with rough (stochastic) fluxes; the spatially dependent case

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” ... Voir le document complet

18

Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes

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 ... Voir le document complet

22

Scalar conservation laws with rough (stochastic) fluxes; the spatially dependent case

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” ... Voir le document complet

17

A BGK approximation to scalar conservation laws with discontinuous flux

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 ... Voir le document complet

21

Finite volume schemes for constrained conservation laws

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 ... Voir le document complet

35

Stability estimates for non-local scalar conservation laws

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 ... Voir le document complet

23

Optimal Regularizing Effect for Scalar Conservation Laws

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 ... Voir le document complet

25

Microscopic local conservation laws for classical fluids

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, ... Voir le document complet

8

Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result

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 ... Voir le document complet

16

Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit

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 ... Voir le document complet

53

High frequency waves and the maximal smoothing effect for nonlinear scalar conservation laws

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 ... Voir le document complet

32

Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws

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 ... Voir le document complet

28

Exact controllability of scalar conservation laws with strict convex flux

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 ... Voir le document complet

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