Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Towers, John D."'
Autor:
Karlsen, Kenneth H., Towers, John D.
We establish quantitative compactness estimates for finite difference schemes used to solve nonlinear conservation laws. These equations involve a flux function $f(k(x,t),u)$, where the coefficient $k(x,t$ is $BV$-regular and may exhibit discontinuit
Externí odkaz:
http://arxiv.org/abs/2305.18765
This article concerns a scalar multidimensional conservation law where the flux is of Panov type and may contain spatial discontinuities. We define a notion of entropy solution and prove that entropy solutions are unique. We propose a Godunov-type fi
Externí odkaz:
http://arxiv.org/abs/2103.05602
In this article we prove convergence of the Godunov scheme of [16] for a scalar conservation law in one space dimension with a spatially discontinuous flux. There may be infinitely many flux discontinuities, and the set of discontinuities may have ac
Externí odkaz:
http://arxiv.org/abs/2011.10946
In this article, we consider scalar conservation laws with fluxes having spatial discontinuities and possible flat regions and study the following three aspects: (i) existence, (ii) uniqueness and (iii) BV regularity of solutions. We propose a unique
Externí odkaz:
http://arxiv.org/abs/2010.13695
In this article we consider the initial value problem for a scalar conservation law in one space dimension with a spatially discontinuous flux. There may be infinitely many flux discontinuities, and the set of discontinuities may have accumulation po
Externí odkaz:
http://arxiv.org/abs/2003.10321
Autor:
Karlsen, Kenneth H, Towers, John D
Publikováno v:
IMA Journal of Numerical Analysis; Nov2024, Vol. 44 Issue 6, p3313-3353, 41p
An existence result for conservation laws having BV spatial flux heterogeneities - without concavity
Autor:
Towers, John D.
Publikováno v:
In Journal of Differential Equations 15 September 2020 269(7):5754-5764
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