The stability of a metastable shock wave in a viscoelastic medium under two-dimensional perturbations |
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| Affiliation: | 1. School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD 4000, Australia;2. School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia;1. Department of Applied Physics, Universitat Politécnica de Catalunya, Av. Dr. Marañón 44, E-08028 Barcelona, Spain;2. Physikalisch-Technische Bundesanstalt, Abbestrasse 2-12, 10587 Berlin, Germany;3. Biophysics Group, Institute of Experimental Physics, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany;4. Department of Aquatic Ecosystem Analysis and Management (ASAM), Helmholtz Centre for Environmental Research (UFZ), Brückstrasse 3a, 39114 Magdeburg, Germany;5. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, 10117 Berlin, Germany;1. Department of Mathematics, Brigham Young University, Provo, UT 84604, USA;2. Department of Applied Mathematics, University of Washington, Seattle, WA 98195, USA;3. Division of Applied Mathematics, Brown University, Providence, RI 02912, USA;4. Department of Mathematics, Binghamton University, Binghamton, NY 13902, USA;5. Applied Science and Technology, University of California at Berkeley, Berkeley, CA 94720, USA;1. Faculty of Mathematics, Al. I. Cuza University of Iaşi, 700506 Iaşi, Romania;2. Octav Mayer Mathematics Institute, Romanian Academy, 700505 Iaşi, Romania;3. Università della Calabria, Via Pietro Bucci, 87036 Arcavacata di Rende (CS), Italy |
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| Abstract: | The unsteady motions of a viscoelastic medium are considered, taking account of a small anisotropy and a small non-linearity. The behaviour of a metastable, quasi-transverse shock wave when it interacts with non-one-dimensional perturbations is investigated numerically. The stability of this wave under non-one-dimensional perturbations of large amplitude is demonstrated. |
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