Vanishing non-local regularization of a scalar conservation law
Date
2003-11-28
Authors
Droniou, Jerome
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We prove that the solution to the regularization of a scalar conservation law by a fractional power of the Laplacian converges, as the regularization vanishes, to the entropy solution of the hyperbolic problem. We also give an error estimate when the initial condition has bounded variation.
Description
Keywords
Scalar conservation law, Vanishing regularization, Fractal operator, Error estimate
Citation
Droniou, J. (2003). Vanishing non-local regularization of a scalar conservation law. <i>Electronic Journal of Differential Equations, 2003</i>(117), pp. 1-20.
Rights
Attribution 4.0 International