Uniform in Time Description for Weak Solutions of the Hopf Equation with Nonconvex Nonlinearity

We consider the Riemann problem for the Hopf equation with concave-convex flux functions. Applying the weak asymptotics method we construct a uniform in time description for the Cauchy data evolution and show that the use of this method implies automatically the appearance of the Oleinik E-condition...

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Bibliographic Details
Main Authors: Antonio Olivas Martinez, Georgy A. Omel'yanov
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/101647
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