[PDF] Top 20 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 ... Voir le document complet

... 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 ... Voir le document complet

... 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 ... Voir le document complet

... 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 ... Voir le document complet

... 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- ... Voir le document complet

... 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 ... Voir le document complet

... 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 ... Voir le document complet

... 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 ... Voir le document complet

... 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 ... Voir le document complet

... 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 ... Voir le document complet

... 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 ... Voir le document complet

... 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 ... Voir le document complet

... 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 ... Voir le document complet

... 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 ... Voir le document complet

... analyzed for a class of switched linear systems of conservation ...problem of synthesizing stabilizing switching controllers. By means of Lyapunov techniques, three control ... Voir le document complet

... 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

... 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 ... Voir le document complet

... [1]. 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]) ... Voir le document complet

... completion 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 ... Voir le document complet

... 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 ... Voir le document complet