dc.contributor.author
Dahne, J.
dc.contributor.author
Gómez-Serrano, J.
dc.date.accessioned
2023-08-29T12:36:54Z
dc.date.accessioned
2024-09-19T14:35:22Z
dc.date.available
2023-08-29T12:36:54Z
dc.date.available
2024-09-19T14:35:22Z
dc.date.issued
2023-08-02
dc.identifier.uri
http://hdl.handle.net/2072/536871
dc.description.abstract
In this paper we prove the existence of a periodic highest, cusped, traveling wave solution for the Burgers–Hilbert equation ft+ ffx= H[f] , and give its asymptotic behaviour at 0. The proof combines careful asymptotic analysis and a computer-assisted approach. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE, part of Springer Nature.
eng
dc.description.sponsorship
Funding text 1: JD and JGS were partially supported by the ERC Starting Grant ERC-StG-CAPA-852741. JGS was partially supported by NSF through Grants NSF DMS-1763356, DMS-2245017 and DMS-2247537, by the AGAUR project 2021-SGR-0087 (Catalunya), and by MICINN (Spain) research grant number PID2021-125021NA-I00. This material is based upon work supported by the National Science Foundation under Grant No. DMS-1929284 while JD and JGS were in residence at the Institute for Computational and Experimental Research in Mathematics in Providence, RI, during the program “Hamiltonian Methods in Dispersive and Wave Evolution Equations”. JD was partially supported by the Swedish-American foundation for the visit. We are also thankful for the hospitality of the Princeton Department of Mathematics, the Uppsala University Department of Mathematics and the Brown University Department of Mathematics where parts of this paper were done. This work is supported by the Spanish State Research Agency, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R &D (CEX2020-001084-M). The authors would like to thank the anonymous referees for their careful reading of the manuscript and the code as well as their helpful suggestions.; Funding text 2: JD and JGS were partially supported by the ERC Starting Grant ERC-StG-CAPA-852741. JGS was partially supported by NSF through Grants NSF DMS-1763356, DMS-2245017 and DMS-2247537, by the AGAUR project 2021-SGR-0087 (Catalunya), and by MICINN (Spain) research grant number PID2021-125021NA-I00. This material is based upon work supported by the National Science Foundation under Grant No. DMS-1929284 while JD and JGS were in residence at the Institute for Computational and Experimental Research in Mathematics in Providence, RI, during the program “Hamiltonian Methods in Dispersive and Wave Evolution Equations”. JD was partially supported by the Swedish-American foundation for the visit. We are also thankful for the hospitality of the Princeton Department of Mathematics, the Uppsala University Department of Mathematics and the Brown University Department of Mathematics where parts of this paper were done. This work is supported by the Spanish State Research Agency, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R &D (CEX2020-001084-M). The authors would like to thank the anonymous referees for their careful reading of the manuscript and the code as well as their helpful suggestions.
dc.format.extent
44 p.
cat
dc.publisher
Springer Science and Business Media Deutschland GmbH
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dc.relation.ispartof
Archive for Rational Mechanics and Analysis
cat
dc.rights
This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). https://rightsstatements.org/page/InC/1.0/?language=en
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Cusped Waves, Burgers–Hilbert Equation, asymptotic analysis
cat
dc.title
Highest Cusped Waves for the Burgers–Hilbert Equation
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.1007/s00205-023-01904-6
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
