# Haut PDF Monotonization of flux, entropy and numerical schemes for conservation laws

### Monotonization of flux, entropy and numerical schemes for conservation laws

**and**proposes an alternative

**for**the Musta

**schemes**.

**For**all these

**schemes**we proved convergence

**of**the approximate solution to the

**entropy**solution

**of**the ...

22

### Optimal regularity for all time for entropy solutions of conservation laws in $BV^s$

**for**some triangular systems

**of**

**conservation**

**laws**...question

**for**a class

**of**1-D triangular systems

**and**the multi-D Keyfitz-Kranzer system in section 5

**and**6 ...

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### Stability estimates for scalar conservation laws with moving flux constraints

**for**( 1a )-( 1b )-( 14 ), ...weak

**entropy**solution, see

**for**instance [ 7 , Chapter ...constant

**and**let ˇ ρ = ˇ ρ( ˙ y)

**and**ˆ ρ = ˆ ρ( ˙ y), with ˇ ρ ≤ ˆ ρ, be the intersection ...

14

### Applications of the DFLU flux to systems of conservation laws

**and**therefore the fractional flow function is an increasing function

**of**the ...eigenvalues

**of**the corresponding Jaco- bian matrix are positive

**and**hence it is less difficult to ...

24

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

**of**scalar

**conservation**

**laws**is well adapted to the analy- sis

**of**the (Perthame-Tadmor) BGK approximation

**of**scalar

**conservation**...version

**of**the Transport- ...

21

### Non-local conservation laws for traffic flow modeling

**of**weak solutions is obtained directly from the fixed point theorem, without prescribing any kind

**of**

**entropy**...The

**numerical**approximation

**of**the solutions

**of**...

145

### A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions

**for**(t, x) ∈ R + × R, (1.3) where the

**flux**function f is regular from Ω to R n ...time

**and**x is the position. The general problem

**of**controllability is the ...needs

**of**course to ...

13

### Numerical Methods for the solution of Hyperbolic Conservation Laws

**and**its

**numerical**

**flux**is given by g(u, v) = f (ˆ v R (0; u, ...first

**and**thirst steps

**of**Godunov’s methods are

**of**a

**numerical**nature, they can be modified without ...

30

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

**for**non-local scalar

**conservation**

**laws**Felisia Angela Chiarello 1 Paola Goatin 1 Elena Rossi 1 Abstract We prove the stability

**of**

**entropy**weak solutions

**of**a class ...

23

### A Local Entropy Minimum Principle for Deriving Entropy Preserving Schemes

**numerical**approximation

**of**the weak solutions

**of**hyper- bolic systems

**of**

**conservation**

**laws**was widely studied during the last three decades, with a special attention to the ...

26

### GLOBAL ENTROPY STABILITY FOR A CLASS OF UNLIMITED HIGH-ORDER SCHEMES FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS

**of**(1.1) is called an

**entropy**satisfying solution if

**and**only if the

**entropy**inequality ...holds

**for**any pair

**entropy**-

**entropy**

**flux**(η, ...the ...

32

### High order numerical schemes for one-dimension non-local conservation laws

**and**compute the solution at time T = 1, with parameters α = 1, n = 3

**and**a = ...1/400

**and**compute the solutions with different RKDG

**and**FV-WENO

**schemes**, including the first-order ...

21

### Finite volume schemes for constrained conservation laws

**and**approximate

**entropy**solutions

**of**( 1 - 3 ) in the L ∞ ...core

**of**the paper is the convergence analysis

**for**finite volume

**schemes**adapted to the constrained ...

35

### Optimal Regularizing Effect for Scalar Conservation Laws

**of**moments in v

**of**the function f depends on ...example

**of**velocity averaging result where the reg- ularity

**of**the moments in v

**of**f is independent

**of**γ, at the ...

25

### Switching rules for stabilization of linear systems of conservation laws

**for**a class

**of**switched linear systems

**of**

**conservation**...problem

**of**synthesizing stabilizing switching controllers. By means

**of**Lyapunov techniques, three control ...

25

### Some aspects of high resolution numerical methods for hyperbolic systems of conservation laws,with applications to gas dynamics

96

### Microscopic local conservation laws for classical fluids

**of**the potential, J P (r, t) involves contributions from the two- body function f 2 taken at points located on each side

**of**r, at distances

**of**the order

**of**the range

**of**W ...

8

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

**For**B(x, u) = k(x)A(u) as above, the choice

**of**

**entropy**solution is unambiguous [1, remark ...4.4]

**and**we consider here the selection criterion ﬁrst given in ...spirit

**of**[9]) ...

21

### L1 and L8 intermediate asymptotics for scalar conservation laws

**of**this paper, we became aware

**of**a study by ...version

**of**his work [9]. His approach is based on a detailed study

**of**special self-similar ...rate

**and**we do ...results ...

20

### Conservation laws and generalized isometric embeddings

**of**this chapter is to introduce the fundamental notions

**of**differential geometry expressed in moving frames,

**and**to establish Cartan’s structure ...forms,

**and**thus is expressed in the ...

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