Dejak, S. I.; Egli, D.; Lushnikov, P. M.; Sigal, I. M. On blowup dynamics in the Keller-Segel model of chemotaxis. (English) Zbl 1326.35049 St. Petersbg. Math. J. 25, No. 4, 547-574 (2014) and Algebra Anal. 25, No. 4, 47-84 (2013). MSC: 35B44 35K51 35K57 35Q84 92C17 PDF BibTeX XML Cite \textit{S. I. Dejak} et al., St. Petersbg. Math. J. 25, No. 4, 547--574 (2014; Zbl 1326.35049) Full Text: DOI arXiv OpenURL
Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael Hamiltonian dynamics of a particle interacting with a wave field. (English) Zbl 1281.35084 Commun. Partial Differ. Equations 38, No. 12, 2155-2198 (2013). MSC: 35Q70 35B35 70H14 35B40 35C07 PDF BibTeX XML Cite \textit{D. Egli} et al., Commun. Partial Differ. Equations 38, No. 12, 2155--2198 (2013; Zbl 1281.35084) Full Text: DOI arXiv OpenURL
Dejak, Steven; Gang, Zhou; Sigal, Israel Michael; Wang, Shuangcai Blow-up in nonlinear heat equations. (English) Zbl 1180.35130 Adv. Appl. Math. 40, No. 4, 433-481 (2008). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B44 35K57 35K55 35K15 PDF BibTeX XML Cite \textit{S. Dejak} et al., Adv. Appl. Math. 40, No. 4, 433--481 (2008; Zbl 1180.35130) Full Text: DOI arXiv OpenURL
Gang, Zhou; Sigal, I. M. Relaxation of solitons in nonlinear Schrödinger equations with potential. (English) Zbl 1126.35065 Adv. Math. 216, No. 2, 443-490 (2007). MSC: 35Q55 37K45 81R12 PDF BibTeX XML Cite \textit{Z. Gang} and \textit{I. M. Sigal}, Adv. Math. 216, No. 2, 443--490 (2007; Zbl 1126.35065) Full Text: DOI arXiv OpenURL
Gustafson, S.; Sigal, I. M. Effective dynamics of magnetic vortices. (English) Zbl 1081.35102 Adv. Math. 199, No. 2, 448-498 (2006). MSC: 35Q55 82D55 82C26 PDF BibTeX XML Cite \textit{S. Gustafson} and \textit{I. M. Sigal}, Adv. Math. 199, No. 2, 448--498 (2006; Zbl 1081.35102) Full Text: DOI arXiv OpenURL
Gang, Zhou; Sigal, I. M. Asymptotic stability of nonlinear Schrödinger equations with potential. (English) Zbl 1086.82013 Rev. Math. Phys. 17, No. 10, 1143-1207 (2005). Reviewer: David Jou (Bellaterra) MSC: 82C20 35Q55 37K45 PDF BibTeX XML Cite \textit{Z. Gang} and \textit{I. M. Sigal}, Rev. Math. Phys. 17, No. 10, 1143--1207 (2005; Zbl 1086.82013) Full Text: DOI arXiv OpenURL
Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. Solitary wave dynamics in an external potential. (English) Zbl 1075.35075 Commun. Math. Phys. 250, No. 3, 613-642 (2004). MSC: 35Q55 35Q51 37K25 37K40 PDF BibTeX XML Cite \textit{J. Fröhlich} et al., Commun. Math. Phys. 250, No. 3, 613--642 (2004; Zbl 1075.35075) Full Text: DOI arXiv OpenURL