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Navier--Stokes Equations and Related Nonlinear Problems - A. Sequeira

Navier--Stokes Equations and Related Nonlinear Problems

By: A. Sequeira (Editor)

Hardcover Published: 31st August 1995
ISBN: 9780306451188
Number Of Pages: 406

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This volume contains the Proceedings of the Third International Conference on Navier-Stokes Equations and Related Nonlinear Problems. The conference was held in Funchal (Madeira, Portugal), on May 21-27, 1994. In addition to the editor, the organizers were Carlos Albuquerque (FC, University of Lisbon), Casimiro Silva (University of Madeira) and Juha Videman (1ST, Technical University of Lisbon). This meeting, following two other successful events of similar type held in Thurnau (Germany) in 1992 and in Cento (Italy) in 1993, brought together, to the majestically beautiful island of Madeira, more than 60 specialists from all around the world, of which about two thirds were invited lecturers. The main interest of the meeting was focused on the mathematical analysis of nonlinear phenomena in fluid mechanics. During the conference, we noticed that this area seems to provide, today more than ever, challenging and increasingly important problems motivating the research of both theoretical and numerical analysts. This volume collects 32 articles selected from the invited lectures and contributed papers given during the conference. The main topics covered include: Flows in Unbounded Domains; Flows in Bounded Domains; Compressible Fluids; Free Boundary Problems; Non-Newtonian Fluids; Related Problems and Numerical Approximations. The contributions present original results or new surveys on recent developments, giving directions for future research. I express my gratitude to all the authors and I am glad to recognize the scientific level and the actual interest of the articles.

On the stability of a flow between two vertical planes caused by homogeneous heat source and pressure gradientp. 3
Stability of solutions of parabolic equations by a combination of the semigroup theory and the energy methodp. 11
Steady flow of a viscous incompressible fluid in an unbounded "funnel-shaped" domainp. 23
Weighted L[superscript q]-theory and pointwise estimates for steady Stokes and Navier-Stokes equations in domains with exit to infinityp. 33
Generalized solutions for the Stokes equations in exterior domainsp. 53
On the existence of periodic weak solutions on the Navier-Stokes equations in exterior regions with periodically moving boundariesp. 63
(2 + k)-solutions in L[superscript q] to the Dirichlet and Neumann problem for [Delta] and for Stokes' system in exterior domainsp. 75
The weak Neumann problem and the Helmholtz decomposition of two-dimensional vector fields in weighted L[superscript r]-spacesp. 105
Boundary integral equations for the Stokes problem in exterior domains of R[superscript n]p. 117
Regular solutions to the steady Navier-Stokes equationsp. 131
A note on derivative estimates for a Hopf solution to the Navier-Stokes system in a three-dimensional cubep. 141
Classical solution to the Navier-Stokes systemp. 147
The maximum principle for the equation of continuity of compressible mediap. 155
Uniqueness of weak solutions of unsteady motions of viscous compressible fluids (II)p. 165
On the existence of steady motions of a viscous isothermal fluid in a pipep. 171
Classical solvability of the problem describing the evolution of a drop in a liquid mediump. 191
Analysis of a nonisothermal viscous flow problem with free boundaries and a dynamic contact linep. 201
On the free boundary problem for the Navier-Stokes equations governing the motion of a viscous incompressible fluid in a slowly rotating containerp. 211
Heat-conducting incompressible viscous fluidsp. 231
On a class of abstract evolution equations related to the motion of complexity 2 fluidsp. 245
Asymptotic in time decay of solutions to the equations of a second-grade fluid filling the whole spacep. 259
On-boundary conditions for fluids of the differential typep. 273
Thermoconvection with dissipation of quasi-Newtonian fluids in tubesp. 279
Remarks on the flow of holes and electrons in crystalline semiconductorsp. 291
Bifurcation of solutions to reaction-diffusion systems with unilateral conditionsp. 307
Stability theory for flows governed by implicit evolution equationsp. 323
A vorticity creation algorithm for the Navier-Stokes equations in arbitrary domainp. 335
Negative isotropic eddy viscosity: a common phenomenon in two dimensionsp. 351
A particle in cell method for the isentropic gas dynamic systemp. 357
Domain decomposition methods for fluid dynamicsp. 367
A regularizing property of Rothe's method to the Navier-Stokes equationsp. 377
Simulation of multiple free surface transient Newtonian and non-Newtonian flowsp. 393
Indexp. 403
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306451188
ISBN-10: 0306451182
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 406
Published: 31st August 1995
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 2.39
Weight (kg): 0.76

Earn 587 Qantas Points
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