Author: George R. Gavalas
Publisher: Springer Science & Business Media
ISBN: 3642876439
Category : Mathematics
Languages : en
Pages : 116

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Book Description
In recent years considerable interest has developed in the mathe matical analysis of chemically reacting systems both in the absence and in the presence of diffusion. Earlier work has been limited to simple problems amenable to closed form solutions, but now the computer permits the numerical solution of complex systems of nonlinear differ ential equations. The numerical approach provides quantitative infor mation, but for practical reasons it must be limited to a rather narrow range of the parameters of the problem. Consequently, it is desirable to obtain broader qualitative information about the solutions by in vestigating from a more fundamental mathematical point of view the structure of the differential equations. This theoretical approach can actually complement and guide the computational approach by narrow ing down trial and error procedures, pinpointing singularities and suggesting methods for handling them. The study of the structure of the differential equations may also clarify some physical principles and suggest new experiments. A serious limitation ofthe theoretical approach is that many of the results obtained, such as the sufficient conditions for the stability of the steady state, turn out to be very conservative. Thus the theoretical and computational approaches are best used to gether for the purpose of understanding, designing, and controlling chemically reacting systems. The present monograph is intended as a contribution to the theory of the differential equations describing chemically reacting systems.

Author: Gavalas GR.
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description

Author: George R. Gavalas
Publisher:
ISBN:
Category : Chemical kinetics
Languages : en
Pages : 106

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Book Description

Author: George R. Gavalas
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 106

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Book Description

Author: George R. Gavalas
Publisher:
ISBN:
Category :
Languages : de
Pages :

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Book Description

Author: Feliz Manuel Minhós
Publisher: MDPI
ISBN: 3036507108
Category : Mathematics
Languages : en
Pages : 158

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Book Description
This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.

Author: G. R. Gavalas
Publisher:
ISBN:
Category :
Languages : en
Pages : 108

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Book Description

Author: Raimond A. Struble
Publisher: Courier Dover Publications
ISBN: 0486817547
Category : Mathematics
Languages : en
Pages : 289

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Book Description
Detailed treatment covers existence and uniqueness of a solution of the initial value problem, properties of solutions, properties of linear systems, stability of nonlinear systems, and two-dimensional systems. 1962 edition.

Author: George R. Gavalas
Publisher:
ISBN:
Category :
Languages : en
Pages : 106

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Book Description

Author: Said S.E.H. Elnashaie
Publisher: CRC Press
ISBN: 9780203911501
Category : Science
Languages : en
Pages : 672

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Book Description
Presenting strategies in control policies, this text uses a systems theory approach to predict, simulate and streamline plant operation, conserve fuel and resources, and increase workplace safety in the manufacturing, chemical, petrochemical, petroleum, biochemical and energy industries. Topics of discussion include system theory and chemical/biochemical engineering systems, steady state, unsteady state, and thermodynamic equilibrium, modeling of systems, fundamental laws governing the processes in terms of the state variables, different classifications of physical models, the story of chemical engineering in relation to system theory and mathematical modeling, overall heat balance with single and multiple chemical reactions and single and multiple reactions.