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An Implicit Boundary Integral Method for Interfaces Evolving by Mullins-Sekerka Dynamics Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Remark on Stability of Scale-Critical Stationary Flows in a Two-Dimensional Exterior Disk

Author : Yasunori Maekawa

Published in: Mathematics for Nonlinear Phenomena — Analysis and Computation

Publisher: Springer International Publishing

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Abstract

We prove the asymptotic stability of stationary flows in a two-dimensional exterior disk under suitable decay and smallness conditions on the stationary flows and the initial perturbations. The class of stationary flows considered in this paper includes some typical circular flows which decay in the scale-critical order \(O(|x|^{-1})\) as \(|x|\rightarrow \infty \).

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previous chapter Remarks on Viscosity Solutions for Mean Curvature Flow with Obstacles
next chapter Stochastic Effects and Time-Filtered Leapfrog Schemes for Maxwell’s Equations
Appendix
Available only for authorised users
Literature
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Metadata
Title
Remark on Stability of Scale-Critical Stationary Flows in a Two-Dimensional Exterior Disk
Author
Yasunori Maekawa
Copyright Year
2017
Book
Mathematics for Nonlinear Phenomena — Analysis and Computation

Print ISBN: 978-3-319-66762-1

Electronic ISBN: 978-3-319-66764-5

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-66764-5_6

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