Type of Publication: | Journal article |
Publication status: | Published |
Author: | Kotschote, Matthias |
Year of publication: | 2017 |
Published in: | Journal of Evolution Equations ; 17 (2017), 1. - pp. 359-385. - ISSN 1424-3199. - eISSN 1424-3202 |
DOI (citable link): | https://dx.doi.org/10.1007/s00028-016-0380-0 |
Summary: |
This is the first part of two papers whose purpose is to investigate stability of travelling wave solutions to the so-called Navier–Stokes–Allen–Cahn system. This set of equations is a combination of the Navier–Stokes equations for compressible fluids supplemented with a phase field description of Allen–Cahn type. The main part of this work deals with studying the problem obtained by linearizing the NSAC system around so-called standing waves. The main results are (1) local well-posedness of the linearized equations and (2) a detailed description of the point and essential spectrum. As a by-product, we obtain analyticity of the associated semigroup.
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Subject (DDC): | 510 Mathematics |
Bibliography of Konstanz: | Yes |
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KOTSCHOTE, Matthias, 2017. Spectral analysis for travelling waves in compressible two-phase fluids of Navier–Stokes–Allen–Cahn type. In: Journal of Evolution Equations. 17(1), pp. 359-385. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-016-0380-0
@article{Kotschote2017-03Spect-38903, title={Spectral analysis for travelling waves in compressible two-phase fluids of Navier–Stokes–Allen–Cahn type}, year={2017}, doi={10.1007/s00028-016-0380-0}, number={1}, volume={17}, issn={1424-3199}, journal={Journal of Evolution Equations}, pages={359--385}, author={Kotschote, Matthias} }
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