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Parabolic Problems

The Herbert Amann Festschrift

  • Book
  • © 2011

Overview

Editors:
  1. Joachim Escher

    1. Inst. Angewandte Mathematik, Leibniz Universität Hannover, Hannover, Germany

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  2. Patrick Guidotti

    1. School of Physical Sciences, Dept. Mathematics, University of California, Irvine, Irvine, USA

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  3. Matthias Hieber

    1. , Fachbereich Mathematik, TU Darmstadt, Darmstadt, Germany

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  4. Piotr Mucha

    1. Inst. Applied Mathematics & Mechanics, Warsaw University, Warszawa, Poland

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  5. Jan W. Prüss

    1. , FB Mathematik und Informatik, Universität Halle-Wittenberg, Halle, Germany

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  6. Yoshihiro Shibata

    1. Tokyo, Japan

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  7. Gieri Simonett

    1. , Deparment of Mathematics, Vanderbilt University, Nashville, TN 37240, USA

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  8. Christoph Walker

    1. Inst. Angewandte Mathematik, Leibniz Universität Hannover, Hannover, Germany

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  9. Wojciech Zajaczkowski

    1. Fac. Mathematics & Information Sciences, Warsaw University of Technology, Warszawa, Poland

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  • Authors of the original research papers are distinguished experts in their fields
  • Broad range of topics in modern analysis which revolve around or are motivated by nonlinear partial differential equations
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 80)

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Table of contents (34 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Double Obstacle Limit for a Navier-Stokes/Cahn-Hilliard System

    • Helmut Abels
    Pages 1-20

  3. Flows of Generalized Oldroyd-B Fluids in Curved Pipes

    • Marília Pires, Adélia Sequeira
    Pages 21-43

  4. Remarks on Maximal Regularity

    • Pascal Auscher, Andreas Axelsson
    Pages 45-55

  5. On the Classical Solvability of Boundary Value Problems for Parabolic Equations with Incompatible Initial and Boundary Data

    • Galina Bizhanova
    Pages 57-80

  6. On the Maxwell-Stefan Approach to Multicomponent Diffusion

    • Dieter Bothe
    Pages 81-93

  7. Global Existence vs. Blowup in a One-dimensional Smoluchowski-Poisson System

    • Tomasz Cieślak, Philippe Laurençot
    Pages 95-109

  8. Perturbation Results for Multivalued Linear Operators

    • Ronald Cross, Angelo Favini, Yakov Yakubov
    Pages 111-130

  9. Semilinear Stochastic Integral Equations in L p

    • Wolfgang Desch, Stig-Olof Londen
    Pages 131-166

  10. On the Motion of Several Rigid Bodies in an Incompressible Viscous Fluid under the Influence of Selfgravitating Forces

    • Bernard Ducomet, Šárka Nečasová
    Pages 167-192

  11. Geometric Aspects of the Periodic μ-Degasperis-Procesi Equation

    • Joachim Escher, Martin Kohlmann, Boris Kolev
    Pages 193-209

  12. Global Leray-Hopf Weak Solutions of the Navier-Stokes Equations with Nonzero Time-dependent Boundary Values

    • R. Farwig, H. Kozono, H. Sohr
    Pages 211-232

  13. Time and Norm Optimality of Weakly Singular Controls

    • H. O. Fattorini
    Pages 233-249

  14. Asymptotic Behavior of a Leray Solution around a Rotating Obstacle

    • Giovanni P. Galdi, Mads Kyed
    Pages 251-266

  15. A Remark on Maximal Regularity of the Stokes Equations

    • Matthias Geissert, Horst Heck
    Pages 267-274

  16. On Linear Elliptic and Parabolic Problems in Nikol’skij Spaces

    • Davide Guidetti
    Pages 275-300

  17. Parabolic Equations in Anisotropic Orlicz Spaces with General N-functions

    • Piotr Gwiazda, Agnieszka Świerczewska Gwiazda
    Pages 301-311

  18. Maximal Parabolic Regularity for Divergence Operators on Distribution Spaces

    • Robert Haller-Dintelmann, Joachim Rehberg
    Pages 313-341

  19. On the Relation Between the Large Time Behavior of the Stokes Semigroup and the Decay of Steady Stokes Flow at Infinity

    • Toshiaki Hishida
    Pages 343-355

  20. Well-posedness and Exponential Decay for the Westervelt Equation with Inhomogeneous Dirichlet Boundary Data

    • Barbara Kaltenbacher, Irena Lasiecka, Slobodan Veljović
    Pages 357-387
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Keywords

About this book

The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and systems, functional analysis, and more.

Editors and Affiliations

  • Inst. Angewandte Mathematik, Leibniz Universität Hannover, Hannover, Germany

    Joachim Escher, Christoph Walker

  • School of Physical Sciences, Dept. Mathematics, University of California, Irvine, Irvine, USA

    Patrick Guidotti

  • , Fachbereich Mathematik, TU Darmstadt, Darmstadt, Germany

    Matthias Hieber

  • Inst. Applied Mathematics & Mechanics, Warsaw University, Warszawa, Poland

    Piotr Mucha

  • , FB Mathematik und Informatik, Universität Halle-Wittenberg, Halle, Germany

    Jan W. Prüss

  • Tokyo, Japan

    Yoshihiro Shibata

  • , Deparment of Mathematics, Vanderbilt University, Nashville, TN 37240, USA

    Gieri Simonett

  • Fac. Mathematics & Information Sciences, Warsaw University of Technology, Warszawa, Poland

    Wojciech Zajaczkowski

Bibliographic Information

  • Book Title: Parabolic Problems

  • Book Subtitle: The Herbert Amann Festschrift

  • Editors: Joachim Escher, Patrick Guidotti, Matthias Hieber, Piotr Mucha, Jan W. Prüss, Yoshihiro Shibata, Gieri Simonett, Christoph Walker, … Wojciech Zajaczkowski

  • Series Title: Progress in Nonlinear Differential Equations and Their Applications

  • DOI: https://doi.org/10.1007/978-3-0348-0075-4

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Basel AG 2011

  • Hardcover ISBN: 978-3-0348-0074-7Published: 20 July 2011

  • eBook ISBN: 978-3-0348-0075-4Published: 20 July 2011

  • Series ISSN: 1421-1750

  • Series E-ISSN: 2374-0280

  • Edition Number: 1

  • Number of Pages: XII, 717

  • Number of Illustrations: 8 b/w illustrations, 7 illustrations in colour

  • Topics: Partial Differential Equations

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