Zobrazeno 1 - 10
of 30
pro vyhledávání: '"35L65, 35R05"'
Autor:
Abreu, Eduardo, Chiri, Maria Teresa, De la cruz, Richard, Juajibioy, Juan, Lambert, Wanderson
In this work, we present a semi-discrete scheme to approximate solutions to the scalar LWR traffic model with spatially discontinuous flux, described by the equation $u_t + (k(x)u(1-u))_x = 0$. This approach is based on the Lagrangian-Eulerian method
Externí odkaz:
http://arxiv.org/abs/2412.06692
Autor:
Ruf, Adrian Montgomery
We prove that adapted entropy solutions of scalar conservation laws with discontinuous flux are stable with respect to changes in the flux under the assumption that the flux is strictly monotone in u and the spatial dependency is piecewise constant w
Externí odkaz:
http://arxiv.org/abs/2008.08320
We consider conservation laws with discontinuous flux where the initial datum, the flux function, and the discontinuous spatial dependency coefficient are subject to randomness. We establish a notion of random adapted entropy solutions to these equat
Externí odkaz:
http://arxiv.org/abs/1906.08991
In this paper we introduce a concept of "regulated function" $v(t,x)$ of two variables, which reduces to the classical definition when $v$ is independent of $t$. We then consider a scalar conservation law of the form $u_t+F(v(t,x),u)_x=0$, where $F$
Externí odkaz:
http://arxiv.org/abs/1805.01766
Autor:
Guerra, Graziano, Shen, Wen
Solutions to a class of conservation laws with discontinuous flux are constructed relying on the Crandall-Liggett theory of nonlinear contractive semigroups~\cite{CL}. In particular, the paper studies the existence of backward Euler approximations, a
Externí odkaz:
http://arxiv.org/abs/1803.00493
We prove well-posedness of linear scalar conservation laws using only assumptions on the growth and the modulus of continuity of the velocity field, but not on its divergence. As an application, we obtain uniqueness of solutions in the atomic Hardy s
Externí odkaz:
http://arxiv.org/abs/1701.04603
We deal with the Cauchy problem for multi-dimensional scalar conservation laws, where the fluxes and the source terms can be discontinuous functions of the unknown. The main novelty of the paper is the introduction of a~kinetic formulation for the co
Externí odkaz:
http://arxiv.org/abs/1606.06500
We consider the problem of existence of entropy weak solutions to scalar balance laws with a dissipative source term. The flux function may be discontinuous with respect both to the space variable x and the unknown quantity u. The problem is formulat
Externí odkaz:
http://arxiv.org/abs/1404.2036
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis, vol 42, 4, pp. 535-563. (2008)
We present a fully adaptive multiresolution scheme for spatially one-dimensional quasilinear strongly degenerate parabolic equations with zero-flux and periodic boundary conditions. The numerical scheme is based on a finite volume discretization usin
Externí odkaz:
http://arxiv.org/abs/0807.0400
Autor:
Adrian Montgomery Ruf
Publikováno v:
IMA Journal of Numerical Analysis. 42:1116-1142
We prove that adapted entropy solutions of scalar conservation laws with discontinuous flux are stable with respect to changes in the flux under the assumption that the flux is strictly monotone in u and the spatial dependency is piecewise constant w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b829f438787677c7c804e540eaafc39
https://doi.org/10.1093/imanum/draa101
https://doi.org/10.1093/imanum/draa101
