NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2011, Vol.14, No.1, pp.38-48

Uniform in Time Description of Singularities Interaction and the Uniqueness Problem.
G. A. Omel'yanov

We consider the Riemann problem for scalar conservation laws in one-space dimension. 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.
Key words: stability, uniqueness, interaction, distribution, asymptotics

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