Instability, Nonexistence and Weighted Energy Methods in Fluid Dynamics and Related Theories PDF Download

Author: Brian Straughan
Publisher: Pitman Advanced Publishing Program
ISBN:
Category : Mathematics
Languages : en
Pages : 188

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Author: Brian Straughan
Publisher: Springer Science & Business Media
ISBN: 1475721943
Category : Science
Languages : en
Pages : 254

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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: Giovanni P. Galdi
Publisher: Springer
ISBN: 3540395237
Category : Science
Languages : en
Pages : 134

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Author: S.N. Antontsev
Publisher: Springer Science & Business Media
ISBN: 9400903375
Category : Science
Languages : en
Pages : 180

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This volume contains the proceedings of the Workshop Energy Methods for Free Boundary Problems in Continuum Mechanics, held in Oviedo, Spain, from March 21 to March 23, 1994. It is well known that the conservation laws and the constitutive equations of Continuum Mechanics lead to complicated coupled systems of partial differential equations to which, as a rule, one fails to apply the techniques usually employed in the studies of scalar uncoupled equations such as, for instance, the maximum principle. The study of the qualitative behaviour of solutions of the systems re quires different techniques, among others, the so called, Energy Methods where the properties of some integral of a nonnegative function of one or several unknowns allow one to arrive at important conclusions on the envolved unknowns. This vol ume presents the state of the art in such a technique. A special attention is paid to the class of Free Boundary Problems. The organizers are pleased to thank the European Science Foundation (Pro gram on Mathematical treatment of free boundary problems), the DGICYT (Spain), the FICYT (Principado de Asturias, Spain) and the Universities of Oviedo and Complutense de Madrid for their generous financial support. Finally, we wish to thank Kluwer Academic Publishers for the facilities received for the publication of these Proceedings.

Author: Lidia Palese
Publisher: World Scientific
ISBN: 9814466360
Category : Science
Languages : en
Pages : 418

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This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.

Author: G P Galdi
Publisher: CRC Press
ISBN: 1000941019
Category : Mathematics
Languages : en
Pages : 176

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Including previously unpublished, original research material, this comprehensive book analyses topics of fundamental importance in theoretical fluid mechanics. The five papers appearing in this volume are centred around the mathematical theory of the Navier-Stokes equations (incompressible and compressible) and certain selected non-Newtonian modifications.

Author: Brian Straughan
Publisher: Springer Science & Business Media
ISBN: 3642588077
Category : Science
Languages : en
Pages : 202

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This book deals with explosive instabilities in mechanics, deriving a solution to a system of PDEs that arise in practical situations. It begins with a relatively simple account of blow-up in systems of interaction-diffusion equations. Among the topics presented are: classical fluid equations, catastrophic behavior in nonlinear fluid theories, blow-up in Volterra equations, and rapid energy growth in parallel flows.

Author: Jose Francisco Rodrigues
Publisher: CRC Press
ISBN: 1000115232
Category : Mathematics
Languages : en
Pages : 280

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This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains. It includes review of the mathematical analysis of incompressible and compressible flows and results in magnetohydrodynamic and electrohydrodynamic stability and thermoconvective flow of Boussinesq-Stefan type. These studies, along with brief communications on a variety of related topics comprise the proceedings of a summer course held in Lisbon, Portugal in 1991. Together they provide a set of comprehensive survey and advanced introduction to problems in fluid mechanics and partial differential equations.

Author: Adelina Georgescu
Publisher: World Scientific
ISBN: 9814289566
Category : Science
Languages : en
Pages : 418

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Book Description
This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.

Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 9780521009652
Category : Science
Languages : en
Pages : 284

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