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Titlebook: Mathematical Modelling of Heat and Mass Transfer Processes; V. G. Danilov,V. P. Maslov,K. A. Volosov Book 1995 Springer Science+Business M

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楼主: Jejunum
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Direct Methods for Constructing Exact Solutions of Semilinear Parabolic Equations,roperties are used in Chapters IV and V for constructing asymptotic solutions. The readers interested in applications of the preceding results and in asymptotic methods may omit this chapter which was included into the book to satisfy a natural desire of the authors and, perhaps, of the readers to c
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Finite Asymptotic Solutions of Degenerate Equations,ck waves in low-viscous media or soliton-like waves in weakly dispersive media. Such solutions have been already discussed in physical and mathematical literature. In this chapter we construct asymptotic solutions with compact support that, at interior points of the support, increase infinitely as a
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Models for Mass Transfer Processes,s these models are boundary-value problems for systems of quasilinear parabolic equations. In some cases considered in this chapter the system consists of two equations: a quasilinear (or linear) parabolic equation and an ordinary (or algebraic) nonlinear equation. For example, the processes describ
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Wave Asymptotic Solutions of Degenerate Semilinear Parabolic and Hyperbolic Equations,ns describing the propagation of shock waves in media with low viscosity, or soliton-like waves in weakly dispersive media [55, 58, 59, 94]. The solutions constructed in this chapter generalize simple diffusion waves, known since the publication of the classical work by Kolmogorov, Petrovskii and Piskunov [41] (see also [107]).
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Models for Mass Transfer Processes, of these processes are of great practical and scientific importance. In particular, it is necessary to study the laws of precipitation and coprecipitation of radionuclides in order to be able to predict how they spread in ecological chains, which is important for environment protection and public health services.
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Book 1995solutions. This class includes solitons, kinks, traveling waves, etc. It can be said that either the solutions from this class or their derivatives are localized in the neighborhood of a certain curve or surface. For the present edition, the book published in Moscow by the Nauka publishing house in
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