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

... Force 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\$

... unknown 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 ...

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

... solver 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

... neglected 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

... formulation 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

... uniqueness 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

... 0 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

... estimates 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

... The 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

... solution 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

... 1], 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

... characterize 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

... regularity 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

... analyzed 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

... 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] ...

96 ### Microscopic local conservation laws for classical fluids

... non-locality 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 ) ...

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

... completion of this paper, we became aware of a study by ...version of his work . His approach is based on a detailed study of special self-similar ...rate and we do ...results ...

20 ### Conservation laws and generalized isometric embeddings

... goal 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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