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Alexander Kurganov
Researcher at Tel Aviv University
Publications - 4
Citations - 296
Alexander Kurganov is an academic researcher from Tel Aviv University. The author has contributed to research in topics: Cauchy problem & Burgers' equation. The author has an hindex of 4, co-authored 4 publications receiving 283 citations.
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A Third-order semidiscrete central scheme for Conservation Lawsand Convection-Diffusion Equations
Alexander Kurganov,Doron Levy +1 more
TL;DR: A high-order extension of the recently proposed second-order, semidiscrete method for approximating solutions to multidimensional systems of hyperbolic conservation laws, convection-diffusion equations, and related problems.
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Effects of a Saturating Dissipation in Burgers-Type Equations
TL;DR: In this paper, a new variant of the Burgers equation with dissipation fluxes that saturate as the gradients become unbounded was proposed and studied, and it was shown that the solution to a Cauchy problem with sufficiently small compact or periodic initial data preserves its initial smoothness.
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Breakdown in Burgers-type equations with saturating dissipation fluxes
TL;DR: In this paper, the authors considered both strictly monotone dissipation fluxes with, and non-monotone ones such that, and showed that large amplitude solutions develop spontaneous discontinuities, while small solutions remain smooth at all times.
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On Burgers-Type Equations with Nonmonotonic Dissipative Fluxes
TL;DR: In this paper, a formation of patterns in Burgers-type equations endowed with a bounded but non-monotonic dissipative flux is studied, where uniqueness, existence, and smoothness of a solution are addressed.