[PDF] Top 20 Applications of the DFLU flux to systems of conservation laws

... refer to left and right of the point x i+1/2 ...Scalar conservation laws like equation (1) with a flux function discontinuous in space have been the object of many ... Voir le document complet

... for systems with Lipschitz fluxes is given in [ 14 , ...book, the result is given for all Lipschitz fluxes. One can take the upper convex envelop of the flux instead of ... Voir le document complet

... linear flux) for this 2 × 2 system which gives sufficient compactness informations in order to pass to the limit in the wave front ...or the definition 1. We note in particular ... Voir le document complet

... context of entropy ...on the stabilization of hyperbolic systems of conservation laws in the context of entropy ...in the scalar case, we are only ... Voir le document complet

... situations of interest lead to compactly supported initial data yielding solutions that are also compactly supported at all finite ...that the above uniform boundedness requirements are satisfied on ... Voir le document complet

... where the flux function f is regular from Ω to R n ...is the time and x is the position. The general problem of controllability is the ...Consider the ... Voir le document complet

... for the computation of weak-BV ...all the wave speeds, one can prove that this numerical entropy flux satisfies ...For the shallow-water equations, the positivity of ... Voir le document complet

... solution of the Cauchy problem to the linear Lagrangian system ...4.2. The linear Lagrangian system is weakly stable in L ∞ (R + × ...degenerate systems and by Brenier [9] for a ... Voir le document complet

... representation of the constraint action in the fixed (left) and moving (right) reference ...in the framework of conservation laws with fix local constraint, first ... Voir le document complet

... SCALAR CONSERVATION LAWS WITH SPACE-PERIODIC FLUX ANNE-LAURE DALIBARD AND MOON-JIN KANG ...Abstract. The goal of this paper is to prove the existence and stability ... Voir le document complet

... class of infinite-dimensional systems of con- servation laws, provided by linear hyperbolic partial dif- ferential equations ...Hyperbolic systems of conservation ... Voir le document complet

... many applications. And it remains an active research field how to specify inelasticities, especially over a range of temperatures where the material properties change a lot (throughout phase ... Voir le document complet

... numerical flux is given by g(u, v) = f (ˆ v R (0; u, ...Since the first and thirst steps of Godunov’s methods are of a numerical nature, they can be modified without influencing the ... Voir le document complet

... where the flux f is strictly convex and f ∈ C 1 , that is to say that the velocity a(u) = f 0 (u) is strictly ...obtained the op- timal smoothing effect in BV for an uniformly convex ... Voir le document complet

... includes the Force and proposes an alternative for the Musta ...convergence of the approximate solution to the entropy solution of the continuous ...how to ... Voir le document complet

... in the fixed compact subset [0, 1] of Rξ ...up to a subsequence, there exists a non-negative measure m on R 3 supported in [0, T ] × Rx × [0, 1], a function f ∈ L ∞ (]0, T [; L 1 (Rx × Rξ)) such that ... Voir le document complet

... For the non-homogeneous case f = f (x, u), with the method as in the present paper we can treat the particular case where u D is a constant in t function (this restriction is inherent ... Voir le document complet

... hyperbolic systems concerned the L ∞ space and the BV ...order to tackle this problem, there exists essentially two different approaches, the first one was developed by Glimm in ... Voir le document complet

... An important design challenge when developing a new autonomous system is deciding on the most efficient level of automation and autonomy. In general, as automation [r] ... Voir le document complet

... show that linear optimization problems over extended polymatroids can be solved by an adaptive greedy algorithm. Most importantly, we show that this optimization problem has an indexabil[r] ... Voir le document complet