Stability of Strong Discontinuities in Magnetohydrodynamics and Electrohydrodynamics PDF Download
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Author: Aleksandr Mikhaĭlovich Blokhin
Publisher: Nova Publishers
ISBN: 9781590337523
Category : Science
Languages : en
Pages : 322
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Book Description
This monograph examines multidimensional stability of strong discontinuities (e.g. shock waves) for systems of conservation laws and surveys the author's results for models of ideal magnetohydrodynamics (classical, 'pressure anisotropic', relativistic) and electrohydrodynamics. The primary attention is concentrated on linearised stability analysis, especially on the issue of uniform stability in the sense of the uniform Kreiss-Lopatinski condition. A so-called 'equational' approach based on obtaining, by the dissipative integrals technique, a priori estimates without loss of smoothness for corresponding linearised stability problems in the domains of uniform stability is described. Recent results for ideal models of MHD (classical MHD, 'pressure anisotropic' MHD of Chew, Goldberger and Low, relativistic MHD) and also for a certain non-hyperbolic model are presented as the system of electrohydrodynamics (EHD).
Author: Aleksandr Mikhaĭlovich Blokhin
Publisher: Nova Publishers
ISBN: 9781590337523
Category : Science
Languages : en
Pages : 322
Get Book Here
Book Description
This monograph examines multidimensional stability of strong discontinuities (e.g. shock waves) for systems of conservation laws and surveys the author's results for models of ideal magnetohydrodynamics (classical, 'pressure anisotropic', relativistic) and electrohydrodynamics. The primary attention is concentrated on linearised stability analysis, especially on the issue of uniform stability in the sense of the uniform Kreiss-Lopatinski condition. A so-called 'equational' approach based on obtaining, by the dissipative integrals technique, a priori estimates without loss of smoothness for corresponding linearised stability problems in the domains of uniform stability is described. Recent results for ideal models of MHD (classical MHD, 'pressure anisotropic' MHD of Chew, Goldberger and Low, relativistic MHD) and also for a certain non-hyperbolic model are presented as the system of electrohydrodynamics (EHD).
Author: Aleksandr Mikhaĭlovich Blokhin
Publisher: Nova Biomedical Books
ISBN:
Category : Science
Languages : en
Pages : 174
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Book Description
This monograph studies the well-posedness of mixed problems on the stability of discontinuities in magnetohydrodynamics. The matters of posing such problems and on the evolution of magnetohydrodynamic discontinuities are investigated.
Author: Aleksandr Mikhaĭlovich Blokhin
Publisher: Nova Publishers
ISBN: 9781594549762
Category : Mathematics
Languages : en
Pages : 178
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Book Description
"This book will be useful for students and specialists of partial differential equations and the mathematical sciences because it clarifies crucial points of Kreiss' symmetrizer technique. The Kreiss technique was developed by H.O. Kreiss for initial boundary value problems for linear hyperbolic systems. This technique is important because it involves equations that are used in many of the applied sciences. The research presented in this book takes unique approaches to exploring the Kreiss technique that will add insight and new perspectives to linear hyperbolic problems"--Publ. web site.
Author: Alberto Bressan
Publisher: Springer
ISBN: 3540721878
Category : Mathematics
Languages : en
Pages : 365
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Book Description
This volume includes four lecture courses by Bressan, Serre, Zumbrun and Williams and a Tutorial by Bressan on the Center Manifold Theorem. Bressan introduces the vanishing viscosity approach and clearly explains the building blocks of the theory. Serre focuses on existence and stability for discrete shock profiles. The lectures by Williams and Zumbrun deal with the stability of multidimensional fronts.
Author: Sylvie Benzoni-Gavage
Publisher: Springer Science & Business Media
ISBN: 3540757120
Category : Mathematics
Languages : en
Pages : 1117
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Book Description
This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.
Author: S. Friedlander
Publisher: Elsevier
ISBN: 0080532926
Category : Science
Languages : en
Pages : 829
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Book Description
The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Author: Brian Straughan
Publisher: Springer Science & Business Media
ISBN: 1475721943
Category : Science
Languages : en
Pages : 254
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Book Description
Six new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1142
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Book Description
Author: Bhimsen K. Shivamoggi
Publisher: CRC Press
ISBN: 9782881240492
Category : Mathematics
Languages : en
Pages : 28
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
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Book Description
Interaction between small perturbations with discontinuities and the stability of shock waves in magnetohydrodynamics.
