[PDF] Top 20 Scalar conservation laws with rough (stochastic) fluxes; the spatially dependent case

... on the concepts and methods introduced in [17] as well as by Lions and Souganidis in [20, 21] and extended by the same authors in [25, 23, 24, 22] for the theory of path- wise stochastic viscosity ... Voir le document complet

... on the concepts and methods introduced in [17] as well as by Lions and Souganidis in [20, 21] and extended by the same authors in [25, 23, 24, 22] for the theory of path- wise stochastic viscosity ... Voir le document complet

... STOCHASTIC SCALAR CONSERVATION LAWS WITH MULTIPLE ROUGH FLUXES BENJAMIN GESS, BENOˆIT PERTHAME, AND PANAGIOTIS ...for scalar conservation laws with ... Voir le document complet

... Neither the notions of entropy and dissipative solutions nor the kinetic formulation can be used to study (4), since both involve either inequalities or quantities with sign which do not make sense ... Voir le document complet

... In the 50’, Oleinik ([24]) obtained her one-sided Lipschitz condition which ensures the uniqueness and the BV regularity of the entropy so- ...is the first basis and the proof of ... Voir le document complet

... in the study of the long time behaviour which has been applied to nonlinear parabolic equations [8], hyperbolic conservation laws [12] and more recently to various equations of nonrelativistic ... Voir le document complet

... (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 ...In the one-dimensional case, ... Voir le document complet

... use the convention of summation over repeated indices ...study the numerical approximation of ( 1.1 ): our aim is to prove the convergence of the Finite Volume method with monotone ... Voir le document complet

... and the uniqueness follows, as stated below in Remark 5.3. This completes the proof of Theorem ...Although the factorization is far from being unique, the profile defined in Theorem ...Along ... Voir le document complet

... at the case where ϕ = ϕ(x, ...ing the boundary condition, we consider a single boundary point x = 0 and we avoid a few technical difficulties by taking the following (rather artificial) ... Voir le document complet

... use the Lax-Olenik formula under this weaker assumption to study discontinuous uxes or controllability for scalar conservation ...knowledge, the direct link with the Kruºkov ... Voir le document complet

... time, the probability of seeing two particles actually merging is ...adapt the murders from the continuous time setting, we thus kill, at each time step, any couple of particles with opposite ... Voir le document complet

... replaced with k(f 00 ) − k ∞ or with k(f 00 ) + k ∞ (or even with any factor of the type O(k(f 00 ) − k ∞ ) or O(k(f 00 ) + k ∞ ...)). The cited results in [3], [11] and [13] rely on ... Voir le document complet

... of the non-local problem (1.1) is carried out exploiting the same strategy used in both [10] and ...studies the non local IBVP (1.1) where the non-local operator is the standard ... 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 of shocks for ... Voir le document complet

... compute the evolution of the solution to (1.1) with f 1/4 BL flux and the damping function a(x) given by ...(1.18). The numerical parameters are u0(x) = K = .... The evolution of ... Voir le document complet

... highlight the key aspects of the software implementation of wave front ...Ram. The code was fully programmed in collaboration with Guillaume ...on the computa- tion of approximate ... Voir le document complet

... of conservation laws to model viscoelastic flows with Upper-Convected Maxwell fluids, either 3D compressible or 2D incompressible with hydrostatic pressure and a free ...surface. The ... Voir le document complet

... for the RRC Kur- chatov Institute (KI) radwaste disposal site (Volkova et ...to the end of the year 2010, to show the risks associated with contamination and to serve as a basis for ... 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 ... Voir le document complet