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27 résultats  enregistrer la recherche
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hal-00300386v1  Pré-publication, Document de travail
Thomas Duyckaerts, Frank Merle. Scattering norm estimate near the threshold for energy-critical focusing semilinear wave equation
2008
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hal-00424161v1  Pré-publication, Document de travail
Thomas Duyckaerts, Carlos Kenig, Frank Merle. Universality of blow-up profile for small radial type II blow-up solutions of energy-critical wave equation
To be published in Journal of the European Mathematical Society. 2009
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hal-00460872v2  Pré-publication, Document de travail
Thomas Duyckaerts, Carlos Kenig, Frank Merle. Universality of the blow-up profile for small type II blow-up solutions of energy-critical wave equation: the non-radial case
2010
hal-00672804v1  Article dans une revue
Yvan Martel, Frank Merle. Inelastic interaction of nearly equal solitons for the BBM equation
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2010, 27 (2), pp.487-532. <10.3934/dcds.2010.27.487>
hal-00678866v1  Article dans une revue
Yvan Martel, Frank Merle. Refined asymptotics around solitons for gKdV equations.
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2008, 20 (2), pp.177-218
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hal-00184710v1  Pré-publication, Document de travail
Thomas Duyckaerts, Frank Merle. Dynamic of threshold solutions for energy-critical NLS
Preprint, to be published in GAFA. 2007
hal-00678845v1  Communication dans un congrès
Yvan Martel, Frank Merle. On the collision of two solitons for the generalized KdV equation in the nonintegrable case.
On the collision of two solitons for the generalized KdV equation in the nonintegrable case., 2007, France. École Polytech. Centre de Mathématiques, Plateau de Palaiseau, 12p., 2009
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hal-00184712v1  Pré-publication, Document de travail
Thomas Duyckaerts, Frank Merle. Dynamic of threshold solutions for energy-critical wave equation
2007
hal-00678857v1  Article dans une revue
Yvan Martel, Frank Merle. Note on coupled linear systems related to two soliton collision for the quartic gKdV equation.
Revista Matematica Complutense, 2008, 21 (2), pp.327-349
hal-00865178v1  Article dans une revue
Yvan Martel, Frank Merle. On the nonexistence of pure multi-solitons for the quartic gKdV equation
International Mathematics Research Notices, Oxford University Press (OUP), 2013, (to appear)
hal-00672816v1  Article dans une revue
Yvan Martel, Frank Merle. Inelastic interaction of nearly equal solitons for the quartic gKdV equation
Inventiones Mathematicae, Springer Verlag, 2011, 183 (3), pp.563-648. <10.1007/s00222-010-0283-6>
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hal-01324000v1  Pré-publication, Document de travail
Charles Collot, Frank Merle, Pierre Raphaël. DYNAMICS NEAR THE GROUND STATE FOR THE ENERGY CRITICAL NONLINEAR HEAT EQUATION IN LARGE DIMENSIONS
2016
hal-01079276v1  Article dans une revue
Yvan Martel, Frank Merle, Pierre Raphaël. Blow up for the critical gKdV equation I: dynamics near the soliton
Acta Mathematica, Royal Swedish Academy of Sciences, Institut Mittag-Leffler, 2014, 212 (1), pp.59-140. <http://link.springer.com/article/10.1007%2Fs11511-014-0109-2>. <10.1007/s11511-014-0109-2>
hal-00408106v1  Article dans une revue
Yvan Martel, Frank Merle, Tetsu Mizumachi. Description of the inelastic collision of two solitary waves for the BBM equation
Archive for Rational Mechanics and Analysis, Springer Verlag, 2010, 196 (2), pp.517-574. <10.1007/s00205-009-0244-7>
hal-00385072v1  Article dans une revue
Raphael Cote, Yvan Martel, Frank Merle. Construction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations
Revista Matemática Iberoamericana, European Mathematical Society, 2011, 27 (1), pp.273-302. <10.4171/RMI/636>
hal-00678730v1  Article dans une revue
Yvan Martel, Frank Merle. Review of long time asymptotics and collision of solitons for the quartic generalized Korteweg-de Vries equation.
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), 2011, 141 (2), pp.287-317. <10.1017/S030821051000003X>
hal-00408108v1  Article dans une revue
Yvan Martel, Frank Merle. Stability of two soliton collision for nonintegrable gKdV equations
Communications in Mathematical Physics, Springer Verlag, 2009, 286, pp.39-79
hal-00678864v1  Article dans une revue
Yvan Martel, Frank Merle. Asymptotic stability of solitons of the gKdV equations with general nonlinearity.
Mathematische Annalen, Springer Verlag, 2008, 341 (2), pp.391-427. <10.1007/s00208-007-0194-z>
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hal-00570162v1  Communication dans un congrès
Frank Merle, Hatem Zaag. Isolatedness of characteristic points at blow-up for a semilinear wave equation in one space dimension.
cedram.org. Séminaire Équations aux dérivées partielles (Polytechnique), 2010, France. 2009-2010, Exp. No. 11, 10 p, 2010
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hal-00570164v1  Communication dans un congrès
Frank Merle, Hatem Zaag. On characteristic points at blow-up for a semilinear wave equation in one space dimension
Singularities in Nonlinear Problems 2009, Nov 2009, Kyoto, Japan
hal-00570157v1  Article dans une revue
Frank Merle, Hatem Zaag. Blow-up behavior outside the origin for a semilinear wave equation in the radial case
Bulletin des Sciences Mathématiques, Elsevier, 2011, 135 (4), pp.353-373. <10.1016/j.bulsci.2011.03.001>

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