Modelling System for Relaxing Media. Symmetry, Restrictions and Attractive Features of Invariant Solutions
نویسنده
چکیده
A model describing non-equilibrium processes in relaxing media is considered. Restrictions arising from the symmetry principles and the second law of thermodynamics are stated. System of ODE describing a set of travelling wave solutions is obtained via group theory reduction. Bifurcation analysis of this system reveals the existence of periodic invariant solutions as well as limiting to them solitary wave solutions. These families play the role of intermediate asymptotics for a wide set of Cauchy and boundary value problems
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تاریخ انتشار 2000