[PDF] Top 20 Dissipative boundary conditions for 2 × 2 hyperbolic systems of conservation laws for entropy solutions in BV

... context of entropy ...stabilization of hyperbolic systems of conservation laws in the context of entropy ...solutions. In fact, ... Voir le document complet

... flux) for this 2 × 2 system which gives sufficient compactness informations in order to pass to the limit in the wave front ...tracking. BV s spaces are intermediary spaces ... Voir le document complet

... compatibility conditions at the point (t, x) = (0, L) are ...Review of the Literature and Open Problems Exact Boundary Controllability There are many publications concerning the exact controllability ... 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 ... Voir le document complet

... (PSA) in chemistry [ 9 ] has such a triangular structure after a change of variables from Euler to Lagrange [ 12 , 42 ...Such systems are already of mathematical interest due to the coupling ... Voir le document complet

... hereafter for the computation of weak-BV ...numerical entropy flux satisfies ...dependent. For the shallow-water equations, the positivity of the height of water is ... Voir le document complet

... solution for 2 × 2 hyperbolic systems concerned the L ∞ space and the BV ...space. In order to tackle this problem, there exists essentially two different approaches, the ... Voir le document complet

... follows. In the first section, we explain formally where the definition comes from, how this definition can be extended in order to take account of non-homogeneous boundary conditions ... Voir le document complet

... particular entropy solutions. To be more precise, in this paper, we will consider solutions ` a la Glimm [15], that is, entropy solutions in the sense above, of ... Voir le document complet

... Quantification, hyperbolic systems, conservation laws, stochastic spectral methods, Galerkin projection, Roe solver, entropy correction ...known. In fact, this is seldom the ... Voir le document complet

... states in the ”black box” K a which remain undetected by the scattering ...vanishes for all t ≥ T > ...the boundary is analytic there are no disappearing solutions (see [ 7 ...Thus ... Voir le document complet

... achieved in the experimental or industrial ...time. In the sequel we assume that ρ ≡ ...are in- finitely fast (instantaneous exchange kinetics) thus the two phases are constantly at com- position ... Voir le document complet

... Eigenvalues of G b if S(z) is invertible at ...defined in [5] is such that S(z) and S ∗ (z) are analytic in the ”physical” half plane {z ∈ C : Im z < 0} and the above relation for ... Voir le document complet

... two solutions u, v satisfy the L 1 con- traction property kv(t) − u(t)k L 1 (0,1) ≤ kv(t ′ ) − u(t ′ )k L 1 (0,1) , 0 ≤ t ′ ≤ ...t. In view of the discussion in the previous sections, this ... Voir le document complet

... implementation of a mod- ern algorithm for error estimation in CFD ...dealing of the adjoint ...transport of the error towards the quantity of in- ...apply for the ... Voir le document complet

... changes of mode when the system trajectory hits the boundary of a region, and the next switching happened only if the trajectory leaves an overlap ...region. For a geometrical illustration ... Voir le document complet

... notion of strong stability analyzed in [ GKS72 ] has the major advantage of being stable with respect to ...suitable for nonlinear ...convenient in practical applications. A long line ... Voir le document complet

... presentation of our results, postponing details for ...introduction of some necessary notation, but we try to make the presentation as fluent as possible to give a general ...order in which ... Voir le document complet

... it in the real world. For example, to stabilize the Saint-Venant equations, we require only some information on the section and the velocities at the ...convenient in practice, as this feedback law ... 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