This document provides a proof that the solutions to Convectively Filtered Burgers equation, will converge to the entropy solution of Inviscid Burgers equation when certain restrictions are put on the initial conditions. It does so by first establishing convergence to a weak solution of Inviscid Burgers equation. That solution is then shown to be the entropy solution.
Description
[0805.2176v1] Convergence of Convectively Filtered Burgers Equation to the Entropy
Solution of Inviscid Burgers Equation
%0 Generic
%1 norgard-2008
%A Norgard, Greg
%A Mohseni, Kamran
%D 2008
%K Burgers entropy_solution imported
%T Convergence of Convectively Filtered Burgers Equation to the Entropy Solution of Inviscid Burgers Equation
%U http://www.citebase.org/abstract?id=oai:arXiv.org:0805.2176
%X This document provides a proof that the solutions to Convectively Filtered Burgers equation, will converge to the entropy solution of Inviscid Burgers equation when certain restrictions are put on the initial conditions. It does so by first establishing convergence to a weak solution of Inviscid Burgers equation. That solution is then shown to be the entropy solution.
@misc{norgard-2008,
abstract = { This document provides a proof that the solutions to Convectively Filtered Burgers equation, will converge to the entropy solution of Inviscid Burgers equation when certain restrictions are put on the initial conditions. It does so by first establishing convergence to a weak solution of Inviscid Burgers equation. That solution is then shown to be the entropy solution.},
added-at = {2008-05-21T08:50:45.000+0200},
author = {Norgard, Greg and Mohseni, Kamran},
biburl = {https://www.bibsonomy.org/bibtex/239030f7f27dfbb325c71b1233d4aee14/ralfwit},
description = {[0805.2176v1] Convergence of Convectively Filtered Burgers Equation to the Entropy
Solution of Inviscid Burgers Equation},
interhash = {16ac794429d2285f80ded35789c9dca3},
intrahash = {39030f7f27dfbb325c71b1233d4aee14},
keywords = {Burgers entropy_solution imported},
timestamp = {2008-05-21T08:50:46.000+0200},
title = {Convergence of Convectively Filtered Burgers Equation to the Entropy Solution of Inviscid Burgers Equation},
url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0805.2176},
year = 2008
}