# Haut PDF Implicit Kinetic Schemes for Scalar Conservation Laws

### Implicit Kinetic Schemes for Scalar Conservation Laws

28

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

**for**the approximation of

**scalar**first-order

**conservation**

**laws**with multiplicative, compactly supported ...framework

**for**the analysis of the convergence of approximations to ...

44

### Scalar conservation laws with rough (stochastic) fluxes

**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**...

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 ...

23

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

**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**...

21

### Solutions of kinetic equations related to non-local conservation laws

**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. ...

32

### L2 formulation of multidimensional scalar conservation laws

**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**...

24

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

**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**” ...

18

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

**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 ...

22

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

**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**” ...

17

### A BGK approximation to scalar conservation laws with discontinuous flux

**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 ...

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 ...

35

### Stability estimates for non-local scalar conservation laws

**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 ...

23

### Optimal Regularizing Effect for Scalar Conservation Laws

**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**...

25

### Microscopic local conservation laws for classical fluids

8

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

16

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

**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 ...

53

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

**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 ...

32

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

**for**one-dimensional

**conservation**

**laws**requires further refinement

**for**solving the general nonlinear geometric optics

**for**multidimensional

**scalar**

**conservation**...

28

### Exact controllability of scalar conservation laws with strict convex flux

**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 ...

64