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