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

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### 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

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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 ... Voir le document complet

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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** ... Voir le document complet

20

### 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

... 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

... 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

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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** ... Voir le document complet

24

### 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

... 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

... 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

... 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

... ), **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

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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 ... Voir le document complet

23

### 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

... 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

... 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

... 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

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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 ... Voir le document complet

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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** ... Voir le document complet

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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 ... Voir le document complet

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