QUALITATIVE PROPERTIES OF SOLUTIONS OF DOUBLE NONLINEAR PARABOLIC SYSTEM WITH SOURCE
Keywords:
doubly nonlinear parabolic system, weak solution, nonlinear diffusion, localization, dissipative structures.Abstract
This paper investigates a doubly nonlinear parabolic system of equations used to model heat conduction, filtration processes, nonlinear diffusion, and biological population dynamics. The study focuses on the existence and qualitative properties of weak solutions, as well as localization phenomena and the formation of nonstationary dissipative structures. The obtained results contribute to the understanding of nonlinear processes in heterogeneous media and the development of methods for analyzing degenerate parabolic systems.
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