Jendrej, Jacek; Kowalczyk, Michał; Lawrie, Andrew Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line. (English) Zbl 1504.35068 Duke Math. J. 171, No. 18, 3643-3705 (2022). MSC: 35B40 35C08 35L71 37K40 PDFBibTeX XMLCite \textit{J. Jendrej} et al., Duke Math. J. 171, No. 18, 3643--3705 (2022; Zbl 1504.35068) Full Text: DOI arXiv
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
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
Bizoń, Piotr; Dunajski, Maciej; Kahl, Michał; Kowalczyk, Michał Sine-Gordon on a wormhole. (English) Zbl 1467.35092 Nonlinearity 34, No. 8, 5520-5537 (2021). MSC: 35C08 35L71 PDFBibTeX XMLCite \textit{P. Bizoń} et al., Nonlinearity 34, No. 8, 5520--5537 (2021; Zbl 1467.35092) Full Text: DOI arXiv Link
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