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Homogenization for semilinear hyperbolic systems with oscillatory data

โœ Scribed by Thomas Y. Hou

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
859 KB
Volume
41
Category
Article
ISSN
0010-3640

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โœฆ Synopsis

The behavior of multi-dimensional discrete Boltzmann systems with highly oscillatory data is studied. Homogenized equations for the mean solutions are obtained. Uniform convergence of the oscillatory solutions of the discrete Boltzmann equations to the solutions of the corresponding homogenized quations is established. Moreover, we find that the weak limits of the oscillatory solutions for a model of Broadwell type are not continuous functions of the discrete velocities. Generalization of the above results to problems with multiple-scale initial data is also established.

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