[PDF] Top 20 Γ -Entropy Cost for Scalar Conservation Laws
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Γ -Entropy Cost for Scalar Conservation Laws
... The candidate large deviations rate functional H JV introduced in [9, 17] is defined as +∞ off the set of weak solutions to 1.1, while H JV u = k℘+ h,u kTV for u a weak solution this is [r] ... Voir le document complet
40
Smoothing effect in $BV_\Phi$ for entropy solutions of scalar conservation laws
... eect for entropy solutions of one-dimensional scalar conservation laws with a degenerate convex ...Tadmor for entropy solutions of multidimensional conservation ... Voir le document complet
31
Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws
... via entropy dissipation through compactness, scaling, homogenization, and L 1 –stability and apply this approach first to the one-dimensional case in Section 4 and then to the multidimensional case in Section 5 to ... Voir le document complet
28
Well-posedness of IBVP for 1D scalar non-local conservation laws
... ≥ ρ n+1 j − k + + λ sgn + ρ n+1 j − k f (t n , x j+1/2 , k, R n j+1/2 ) − f (t n , x j−1/2 , k, R n j−1/2 ) , proving (3.37), while (3.38) is proven in an entirely similar way. 3.6 Convergence towards an ... Voir le document complet
36
Non-controllability of the viscous Burgers equation and a detour into the well-posedness of unbounded entropy solutions to scalar conservation laws
... ] for the pure L 1 theories of, respectively, renormalized and kinetic solutions), nor the fine regularization estimates of the super-critical case [ 43 ...result for the Cauchy problem is given in Theorem ... Voir le document complet
42
Convergence of a stochastic particle approximation for fractional scalar conservation laws
... The entropy solution to ...signs. For a more precise statement in the case α = 2, see Lemma ...proves, for α = 2 in continuous time, the convergence of the particle system to the solution of the ... Voir le document complet
30
An extension of Oleinik’s inequality for general 1- D scalar conservation laws
... and γ y and drew from them two front paths γ x and γ y (with γ x = γ x (T ) < γ y (T ) = γ y ...path γ x (resp. γ y ) at time t ∈ [0, T ...If γ x ... Voir le document complet
35
The initial-boundary value problem for general non-local scalar conservation laws in one space dimension
... As in the classical case, we assume that boundary conditions can not generally be satisfied in strong sense. Therefore, we introduce the following notion of weak entropy solution for (1.1), which extends to ... Voir le document complet
29
Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes
... pathwise entropy solutions for ...[12]. For a detailed account of numerical methods for (deterministic) conservation laws we refer to LeVeque [18], Bouchut [1], Godlewski and ... Voir le document complet
22
Monotonization of flux, entropy and numerical schemes for conservation laws
... convert it to a solution of (6.3), (6.4) with all eigenvalues positive. Furthermore if we define F α (U ) = F (U )− U α for α 6= 0, then we can define the scheme (3.4) for the system (6.1), (6.2) provided ... Voir le document complet
22
Scalar conservation laws with rough (stochastic) fluxes; the spatially dependent case
... like, for example, a Brownian ...stochastic entropy solutions and prove that it is well posed, that is we establish existence, uniqueness and continuous dependence in the form of a (pathwise) L 1 ... Voir le document complet
18
Dissipative boundary conditions for 2 × 2 hyperbolic systems of conservation laws for entropy solutions in BV
... of conservation laws in the context of entropy ...the scalar case, we are only aware of the work [22], in which a suitable stationary feedback law is shown to stabilize the solutions ...of ... Voir le document complet
26
Oscillating waves and optimal smoothing effect for one-dimensional nonlinear scalar conservation laws
... ∂f (u) ∂x = 0, u(0, x) = u 0 (x), t > 0, x ∈ R. (1) The aim of this paper is to build solutions related to the maximal reg- ularity or the uniform Sobolev bounds conjectured in [ 19 ] for entropy ... Voir le document complet
13
Scalar conservation laws with rough (stochastic) fluxes; the spatially dependent case
... SCALAR CONSERVATION LAWS WITH ROUGH (STOCHASTIC) FLUXES; THE SPATIALLY DEPENDENT CASE PIERRE-LOUIS LIONS 1 , BENOˆIT PERTHAME 2 AND PANAGIOTIS ...stochastic entropy solutions for ... Voir le document complet
17
High frequency waves and the maximal smoothing effect for nonlinear scalar conservation laws
... 1 for a well chosen phase and proved for a particular sequence of smooth solutions (without shocks on a ...s, for entropy solutions and for positive time, satisfies s ≤ α for a ... Voir le document complet
32
A Bhatnagar-Gross-Krook approximation to scalar conservation laws with discontinuous flux
... first-order scalar con- servation laws with a flux which is discontinuous in the space ...problem for the BGK approximation is well posed and that, as the relax- ation parameter tends to 0, it ... Voir le document complet
21
Optimal regularity for all time for entropy solutions of conservation laws in $BV^s$
... σ,p for all σ < s, 1 ≤ p < s −1 and to get the BV like trace properties of entropy solutions [ 23 , 42 , 43 ...the entropy solutions of ( 1 ) in BV s , with BV s data has been done in [ 13 ] ... Voir le document complet
28
Exact controllability of scalar conservation laws with strict convex flux
... dimension scalar conservation law with strict convex ...explicit for- mula and finer properties of generalized characteristics introduced by Dafermos ... Voir le document complet
64
Existence result for the coupling problem of two scalar conservation laws with Riemann initial data
... exist for the same Riemann initial ...based for instance on entropy or stability arguments for choosing one particular ...adopted for instance in [1] or [15] where the authors give and ... Voir le document complet
39
Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws
... to conservation laws include [13, 14, ...of conservation laws governing the stochastic modes of the ...deterministic conservation laws is their capacity to develop non-smooth ... Voir le document complet
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