Abstract
When complex physical processes of burning are studied some major problems arise due to a nonlinear nature of mathematical models. This nonlinearity disables the superposition principle, which is inherent to linear problems. It results in a variety of possible evolution paths for a dissipative process and determines discrete spatial-temporal scales in continuum and so the properties of a nonlinear medium, which do not depend on an external perturbation. Nonlinear dissipative media with bulk heat sources and sinks may possess a certain intrinsic ordering which is characterized by spontaneous development of complex dissipative structures in a medium. In the course of evolution the self-organization process arises.
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© 1988 Martinus Nijhoff Publishers
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Samarskii, A.A. (1988). Non Linear Effects of Blow up and Localization Processes in Burning Problems. In: Brauner, CM., Schmidt-Lainé, C. (eds) Mathematical Modeling in Combustion and Related Topics. NATO ASI Series, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2770-4_14
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DOI: https://doi.org/10.1007/978-94-009-2770-4_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7745-3
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