Vanishing Perturbations of Hyperbolic Equations
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Lisbon - FLUIDSHEAT'14, 5th International Conference on Fluid Mechanics and Heat & Mass Transfer
Abstract
Well-posedness of the initial value problem
u_t+f(u)_x=\eps u_xx -\del((u_xx)^2)_x;
u(x,0)=u_0(x). Then, as \eps, \del tend to 0, we prove convergence of the previous solutions to the entropy weak solution of the initial value problem u_t+f(u)_x=0;
u(x,0)=u_0(x).
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Citation
WSEAS Conference Program, pag.14: Friday October 31st 2014, Conference Room: B, Talk nb.71709-139 (http://www.wseas.org/main/conferences/2014/Lisbo/Program.pdf) See also the file "Invited Talk (in Italic ones).pdf"