Nonlinear Stability of MKdV Breathers

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Nonlinear Stability of MKdV Breathers. / Alejo Plana, Miguel Angel; Muñoz, Claudio .

I: Communications in Mathematical Physics, Bind 34, Nr. 1, 2013, s. 233-262.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Alejo Plana, MA & Muñoz, C 2013, 'Nonlinear Stability of MKdV Breathers', Communications in Mathematical Physics, bind 34, nr. 1, s. 233-262. https://doi.org/10.1007/s00220-013-1792-0

APA

Alejo Plana, M. A., & Muñoz, C. (2013). Nonlinear Stability of MKdV Breathers. Communications in Mathematical Physics, 34(1), 233-262. https://doi.org/10.1007/s00220-013-1792-0

Vancouver

Alejo Plana MA, Muñoz C. Nonlinear Stability of MKdV Breathers. Communications in Mathematical Physics. 2013;34(1):233-262. https://doi.org/10.1007/s00220-013-1792-0

Author

Alejo Plana, Miguel Angel ; Muñoz, Claudio . / Nonlinear Stability of MKdV Breathers. I: Communications in Mathematical Physics. 2013 ; Bind 34, Nr. 1. s. 233-262.

Bibtex

@article{3dfc065e0e3b4e6c91aaf062e3c85df7,
title = "Nonlinear Stability of MKdV Breathers",
abstract = "Breather solutions of the modified Korteweg-de Vries equation are shown to be globally stable in a natural H 2 topology. Our proof introduces a new Lyapunov functional, at the H 2 level, which allows to describe the dynamics of small perturbations, including oscillations induced by the periodicity of the solution, as well as a direct control of the corresponding instability modes. In particular, degenerate directions are controlled using low-regularity conservation laws.",
author = "{Alejo Plana}, {Miguel Angel} and Claudio Mu{\~n}oz",
year = "2013",
doi = "10.1007/s00220-013-1792-0",
language = "English",
volume = "34",
pages = "233--262",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Nonlinear Stability of MKdV Breathers

AU - Alejo Plana, Miguel Angel

AU - Muñoz, Claudio

PY - 2013

Y1 - 2013

N2 - Breather solutions of the modified Korteweg-de Vries equation are shown to be globally stable in a natural H 2 topology. Our proof introduces a new Lyapunov functional, at the H 2 level, which allows to describe the dynamics of small perturbations, including oscillations induced by the periodicity of the solution, as well as a direct control of the corresponding instability modes. In particular, degenerate directions are controlled using low-regularity conservation laws.

AB - Breather solutions of the modified Korteweg-de Vries equation are shown to be globally stable in a natural H 2 topology. Our proof introduces a new Lyapunov functional, at the H 2 level, which allows to describe the dynamics of small perturbations, including oscillations induced by the periodicity of the solution, as well as a direct control of the corresponding instability modes. In particular, degenerate directions are controlled using low-regularity conservation laws.

U2 - 10.1007/s00220-013-1792-0

DO - 10.1007/s00220-013-1792-0

M3 - Journal article

VL - 34

SP - 233

EP - 262

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -

ID: 113813696