Analysis of long-time interaction of perturbations in problems of macrokinetics
| Autor: | L. P. Kholpanov, I. V. Elyukhina |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Differential equation
Breather General Chemical Engineering Group velocities symbols.namesake Nonlinear parabolic equations Nonlinear Schrödinger equation Mathematics Nonlinear partial differential equations Complex amplitude Partial differential equation Slowly varying envelope approximation Auto-ignition Mathematical analysis General Chemistry Nonlinear equations Partial differential equations Parabolic partial differential equation Control nonlinearities Nonlinear dispersive medium Split-step method Macrokinetics Nonisothermal Flame propagation symbols Hyperbolic partial differential equation |
| Zdroj: | Theoretical Foundations of Chemical Engineering. 45:292-298 |
| ISSN: | 1608-3431 0040-5795 |
| DOI: | 10.1134/s0040579511030067 |
| Popis: | We developed an approach for the reduction of systems of nonlinear partial differential equations to the general nonlinear parabolic equation for a complex amplitude of an envelope wave. The equation is complexly derived: by using wave packages, method of many scales, modification of Mandelshtam method and taking into account group velocity of an envelope wave, that is typical for an actual nonlinear dispersive medium. We consider the features of such modeling for a system with nonlinearities occurring in the simplest model of a nonisothermal chemical reaction, in particular, of thermal autoignition and flame propagation. © Pleiades Publishing, Ltd., 2011. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|