Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes. (English) Zbl 1486.35122 J. Eur. Math. Soc. (JEMS) 24, No. 6, 2133-2167 (2022). MSC: 35C08 35B40 35L71 37K40 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., J. Eur. Math. Soc. (JEMS) 24, No. 6, 2133--2167 (2022; Zbl 1486.35122) Full Text: DOI arXiv
Duyckaerts, Thomas; Kenig, Carlos; Martel, Yvan; Merle, Frank Soliton resolution for critical co-rotational wave maps and radial cubic wave equation. (English) Zbl 1491.35292 Commun. Math. Phys. 391, No. 2, 779-871 (2022). Reviewer: Dongbing Zha (Shanghai) MSC: 35L71 35B40 35B44 35L15 35Q55 PDFBibTeX XMLCite \textit{T. Duyckaerts} et al., Commun. Math. Phys. 391, No. 2, 779--871 (2022; Zbl 1491.35292) Full Text: DOI arXiv
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio; Van Den Bosch, Hanne A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models. (English) Zbl 1469.35150 Ann. PDE 7, No. 1, Paper No. 10, 98 p. (2021). MSC: 35L71 35B35 35B40 37K40 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., Ann. PDE 7, No. 1, Paper No. 10, 98 p. (2021; Zbl 1469.35150) Full Text: DOI arXiv
Jendrej, Jacek; Martel, Yvan Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5. (English. French summary) Zbl 1471.35205 J. Math. Pures Appl. (9) 139, 317-355 (2020). Reviewer: Shuangjie Peng (Wuhan) MSC: 35L71 35B44 35B40 35L15 PDFBibTeX XMLCite \textit{J. Jendrej} and \textit{Y. Martel}, J. Math. Pures Appl. (9) 139, 317--355 (2020; Zbl 1471.35205) Full Text: DOI arXiv
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng Solutions with prescribed local blow-up surface for the nonlinear wave equation. (English) Zbl 1437.35494 Adv. Nonlinear Stud. 19, No. 4, 639-675 (2019). MSC: 35L71 35L15 35B44 35B40 PDFBibTeX XMLCite \textit{T. Cazenave} et al., Adv. Nonlinear Stud. 19, No. 4, 639--675 (2019; Zbl 1437.35494) Full Text: DOI arXiv
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio On asymptotic stability of nonlinear waves. (English) Zbl 1475.35415 Sémin. Laurent Schwartz, EDP Appl. 2016-2017, Exp. No. 18, 27 p. (2017). MSC: 35R30 35B35 35P25 35Q53 35Q55 35-02 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., Sémin. Laurent Schwartz, EDP Appl. 2016--2017, Exp. No. 18, 27 p. (2017; Zbl 1475.35415) Full Text: DOI
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Nonexistence of small, odd breathers for a class of nonlinear wave equations. (English) Zbl 1384.35109 Lett. Math. Phys. 107, No. 5, 921-931 (2017). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q51 35Q55 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., Lett. Math. Phys. 107, No. 5, 921--931 (2017; Zbl 1384.35109) Full Text: DOI arXiv
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio Kink dynamics in the \(\phi^4\) model: asymptotic stability for odd perturbations in the energy space. (English) Zbl 1387.35419 J. Am. Math. Soc. 30, No. 3, 769-798 (2017). Reviewer: Joseph Shomberg (Providence) MSC: 35L71 35Q51 37K40 35B35 35L15 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., J. Am. Math. Soc. 30, No. 3, 769--798 (2017; Zbl 1387.35419) Full Text: DOI arXiv
Martel, Yvan; Merle, Frank Construction of multi-solitons for the energy-critical wave equation in dimension 5. (English) Zbl 1359.35166 Arch. Ration. Mech. Anal. 222, No. 3, 1113-1160 (2016). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q51 35C08 35C07 PDFBibTeX XMLCite \textit{Y. Martel} and \textit{F. Merle}, Arch. Ration. Mech. Anal. 222, No. 3, 1113--1160 (2016; Zbl 1359.35166) Full Text: DOI arXiv
Martel, Yvan; Merle, Frank Inelastic interaction of nearly equal solitons for the quartic gKdV equation. (English) Zbl 1230.35121 Invent. Math. 183, No. 3, 563-648 (2011). Reviewer: Pilar Ruiz Gordoa (Madrid) MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{Y. Martel} and \textit{F. Merle}, Invent. Math. 183, No. 3, 563--648 (2011; Zbl 1230.35121) Full Text: DOI arXiv
Krieger, Joachim; Raphaël, Pierre; Martel, Yvan Two-soliton solutions to the three-dimensional gravitational Hartree equation. (English) Zbl 1193.35163 Commun. Pure Appl. Math. 62, No. 11, 1501-1550 (2009). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q40 35Q51 35B40 70F05 83C50 35C05 PDFBibTeX XMLCite \textit{J. Krieger} et al., Commun. Pure Appl. Math. 62, No. 11, 1501--1550 (2009; Zbl 1193.35163) Full Text: DOI arXiv
Martel, Yvan; Merle, Frank Stability of two soliton collision for nonintegrable gKdV equations. (English) Zbl 1179.35291 Commun. Math. Phys. 286, No. 1, 39-79 (2009). MSC: 35Q53 35Q51 35B35 37K40 35C08 PDFBibTeX XMLCite \textit{Y. Martel} and \textit{F. Merle}, Commun. Math. Phys. 286, No. 1, 39--79 (2009; Zbl 1179.35291) Full Text: DOI arXiv
Martel, Yvan; Merle, Frank Asymptotic stability of solitons of the gKdV equations with general nonlinearity. (English) Zbl 1153.35068 Math. Ann. 341, No. 2, 391-427 (2008). MSC: 35Q53 35Q51 35B40 PDFBibTeX XMLCite \textit{Y. Martel} and \textit{F. Merle}, Math. Ann. 341, No. 2, 391--427 (2008; Zbl 1153.35068) Full Text: DOI arXiv
Martel, Yvan; Merle, Frank; Tsai, Tai-Peng Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations. (English) Zbl 1099.35134 Duke Math. J. 133, No. 3, 405-466 (2006). MSC: 35Q55 37K45 35Q51 35B35 PDFBibTeX XMLCite \textit{Y. Martel} et al., Duke Math. J. 133, No. 3, 405--466 (2006; Zbl 1099.35134) Full Text: DOI Euclid