Existence and Symmetry of Ground States to the Boussinesq abcd Systems

Verfasser / Beitragende:
[Ellen Bao, Robin Chen, Qing Liu]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 216/2(2015-05-01), 569-591
Format:
Artikel (online)
ID: 605515158
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024 7 0 |a 10.1007/s00205-014-0814-1  |2 doi 
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245 0 0 |a Existence and Symmetry of Ground States to the Boussinesq abcd Systems  |h [Elektronische Daten]  |c [Ellen Bao, Robin Chen, Qing Liu] 
520 3 |a We consider a four-parameter family of Boussinesq systems derived by Bona etal. (J Nonlinear Sci 12:283-318, 2002). We establish the existence of the ground states which are solitary waves minimizing the action functional of the systems. We further show that in the presence of large surface tension the ground states are even up to translation. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
700 1 |a Bao  |D Ellen  |u Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA  |4 aut 
700 1 |a Chen  |D Robin  |u Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA  |4 aut 
700 1 |a Liu  |D Qing  |u Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA  |4 aut 
773 0 |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 216/2(2015-05-01), 569-591  |x 0003-9527  |q 216:2<569  |1 2015  |2 216  |o 205 
856 4 0 |u https://doi.org/10.1007/s00205-014-0814-1  |q text/html  |z Onlinezugriff via DOI 
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908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Bao  |D Ellen  |u Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Chen  |D Robin  |u Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Liu  |D Qing  |u Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 216/2(2015-05-01), 569-591  |x 0003-9527  |q 216:2<569  |1 2015  |2 216  |o 205