Journal article
A Lipschitz metric for the Hunter–Saxton equation
- Abstract:
-
We analyze stability of conservative solutions of the Cauchy problem on the line for the (integrated) Hunter–Saxton (HS) equation. Generically, the solutions of the HS equation develop singularities with steep gradients while preserving continuity of the solution itself. In order to obtain uniqueness, one is required to augment the equation itself by a measure that represents the associated energy, and the breakdown of the solution is associated with a complicated interplay where the measure ...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- Taylor & Francis Publisher's website
- Journal:
- Communications in Partial Differential Equations Journal website
- Volume:
- 44
- Issue:
- 4
- Pages:
- 309-334
- Publication date:
- 2019-02-15
- Acceptance date:
- 2018-08-29
- DOI:
- EISSN:
-
1532-4133
- ISSN:
-
0360-5302
Item Description
- Keywords:
- Pubs id:
-
1098230
- Local pid:
- pubs:1098230
- Deposit date:
- 2020-04-07
Terms of use
- Copyright holder:
- José Antonio Carrillo, Katrin Grunert and Helge Holden
- Copyright date:
- 2019
- Rights statement:
- © 2019 The Author(s). Published by Taylor & Francis Group, LLC. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Licence:
- CC Attribution (CC BY)
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