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Navier—Stokes Equations and Related Nonlinear Problems

  • Book
  • © 1995

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Editors:
  1. A. Sequeira

    1. Technical University, Lisbon, Portugal

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Table of contents (32 chapters)

  1. Front Matter

    Pages i-ix
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  2. Flows in Unbounded Domains

    1. Front Matter

      Pages 1-1
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    2. On the Stability of a Flow Between Two Vertical Planes Caused by Homogeneous Heat Source and Pressure Gradient

      • Francesco Mollica
      Pages 3-9

    3. Stability of Solutions of Parabolic Equations by a Combination of the Semigroup Theory and the Energy Method

      • Jiří Neustupa
      Pages 11-22

    4. Steady Flow of a Viscous Incompressible Fluid in an Unbounded “Funnel-Shaped” Domain

      • Arianna Passerini, M. Cristina Patria, Gudrun Thäter
      Pages 23-31

    5. Weighted L q-Theory and Pointwise Estimates for Steady Stokes and Navier-Stokes Equations in Domains with Exit to Infinity

      • Konstantin Pileckas
      Pages 33-51

    6. Generalized Solutions for the Stokes Equation in Exterior Domains

      • Roberta Pulidori, Maria Specovius-Neugebauer
      Pages 53-62

    7. On the Existence of Periodic Weak Solutions on the Navier-Stokes Equations in Exterior Regions with Periodically Moving Boundaries

      • Rodolfo Salvi
      Pages 63-73

    8. (2 + k)-Solutions in L q to the Dirichlet and Neumann Problem for Δ and for Stokes’ System in Exterior Domains

      • Christian G. Simader
      Pages 75-104

    9. The Weak Neumann Problem and the Helmholtz Decomposition of Two-Dimensional Vector Fields in Weighted L ϒ-Spaces

      • Maria Specovius-Neugebauer
      Pages 105-116

    10. Boundary Integral Equations for the Stokes Problem in Exterior Domains of ℝ n

      • Werner Varnhorn
      Pages 117-127

  3. Flows in Bounded Domains

    1. Front Matter

      Pages 129-129
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    2. Regular Solutions to the Steady Navier-Stokes Equations

      • Jens Frehse, Michael Růžička
      Pages 131-139

    3. A Note on Derivative Estimates for a Hopf Solution to the Navier-Stokes System in a Three-Dimensional Cube

      • J. Málek, M. Padula, M. Růžička
      Pages 141-146

    4. Classical Solution to the Navier-Stokes System

      • Paolo Maremonti
      Pages 147-152

  4. Compressible Fluids

    1. Front Matter

      Pages 153-153
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    2. The Maximum Principle for the Equation of Continuity of Compressible Media

      • V. N. Maslennikova, M. E. Bogovskii
      Pages 155-163

    3. Uniqueness of Weak Solutions of Unsteady Motions of Viscous Compressible Fluids (II)

      • Šárka Matušu-Nečasová
      Pages 165-170

    4. On the Existence of Steady Motions of a Viscous Isothermal Fluid in a Pipe

      • Mariarosaria Padula, Konstantin Pileckas
      Pages 171-188

  5. Free Boundary Problems

    1. Front Matter

      Pages 189-189
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Keywords

About this book

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.

Editors and Affiliations

  • Technical University, Lisbon, Portugal

    A. Sequeira

Bibliographic Information

  • Book Title: Navier—Stokes Equations and Related Nonlinear Problems

  • Editors: A. Sequeira

  • DOI: https://doi.org/10.1007/978-1-4899-1415-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1995

  • Hardcover ISBN: 978-0-306-45118-8Published: 31 August 1995

  • Softcover ISBN: 978-1-4899-1417-0Published: 24 June 2013

  • eBook ISBN: 978-1-4899-1415-6Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: X, 406

  • Topics: Nuclear Physics, Heavy Ions, Hadrons, Classical and Continuum Physics

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