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The r-Hunter-Saxton equation, smooth and singular solutions and their approximation
| File | Description | Size | Format | |
|---|---|---|---|---|
 Cotter_2020_Nonlinearity_33_7016.pdf | Published version | 1.06 MB | Adobe PDF | View/Open |
| Title: | The r-Hunter-Saxton equation, smooth and singular solutions and their approximation |
| Authors: | Cotter, CJ Deasy, J Pryer, T |
| Item Type: | Journal Article |
| Abstract: | In this work we introduce the r-Hunter–Saxton equation, a generalisation of the Hunter–Saxton equation arising as extremals of an action principle posed in Lr. We characterise solutions to the Cauchy problem, quantifying the blow-up time and studying various symmetry reductions. We construct piecewise linear functions and show that they are weak solutions to the r-Hunter–Saxton equation. |
| Issue Date: | 1-Dec-2020 |
| Date of Acceptance: | 31-Jul-2020 |
| URI: | http://hdl.handle.net/10044/1/86156 |
| DOI: | 10.1088/1361-6544/abab4d |
| ISSN: | 0951-7715 |
| Publisher: | IOP Publishing |
| Start Page: | 7016 |
| End Page: | 7039 |
| Journal / Book Title: | Nonlinearity |
| Volume: | 33 |
| Issue: | 12 |
| Copyright Statement: | © 2020 IOP Publishing Ltd & London Mathematical Society. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. |
| Sponsor/Funder: | Engineering & Physical Science Research Council (EPSRC) |
| Funder's Grant Number: | EP/N023781/1 |
| Keywords: | Science & Technology Physical Sciences Mathematics, Applied Physics, Mathematical Mathematics Physics nonlinear PDEs singular solutions Lie symmetries HYPERBOLIC VARIATIONAL EQUATION GEODESIC-FLOW Science & Technology Physical Sciences Mathematics, Applied Physics, Mathematical Mathematics Physics nonlinear PDEs singular solutions Lie symmetries HYPERBOLIC VARIATIONAL EQUATION GEODESIC-FLOW math.AP math.AP nlin.SI General Mathematics 0102 Applied Mathematics |
| Publication Status: | Published |
| Online Publication Date: | 2020-10-23 |
| Appears in Collections: | Applied Mathematics and Mathematical Physics Mathematics |
This item is licensed under a Creative Commons License
