Cannone, Marco; Karch, Grzegorz; Pilarczyk, Dominika; Wu, Gang Stability of singular solutions to the Navier-Stokes system. (English) Zbl 1487.35283 J. Differ. Equations 314, 316-339 (2022). MSC: 35Q30 35A21 35B40 35C06 76D05 35B35 PDFBibTeX XMLCite \textit{M. Cannone} et al., J. Differ. Equations 314, 316--339 (2022; Zbl 1487.35283) Full Text: DOI arXiv
Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika Global radial solutions in classical Keller-Segel model of chemotaxis. (English) Zbl 1428.35616 J. Differ. Equations 267, No. 11, 6352-6369 (2019). MSC: 35Q92 35B44 35K55 92C17 35A01 35B06 PDFBibTeX XMLCite \textit{P. Biler} et al., J. Differ. Equations 267, No. 11, 6352--6369 (2019; Zbl 1428.35616) Full Text: DOI arXiv
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek Large global-in-time solutions to a nonlocal model of chemotaxis. (English) Zbl 1398.35248 Adv. Math. 330, 834-875 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B44 35K55 35A01 92C17 35R11 PDFBibTeX XMLCite \textit{P. Biler} et al., Adv. Math. 330, 834--875 (2018; Zbl 1398.35248) Full Text: DOI arXiv
Karch, Grzegorz; Pilarczyk, Dominika; Schonbek, Maria E. \(L^2\)-asymptotic stability of singular solutions to the Navier-Stokes system of equations in \(\mathbb R^3\). (English. French summary) Zbl 1368.35207 J. Math. Pures Appl. (9) 108, No. 1, 14-40 (2017). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76D05 35B35 35B40 35D30 PDFBibTeX XMLCite \textit{G. Karch} et al., J. Math. Pures Appl. (9) 108, No. 1, 14--40 (2017; Zbl 1368.35207) Full Text: DOI
Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek Local criteria for blowup in two-dimensional chemotaxis models. (English) Zbl 1360.35290 Discrete Contin. Dyn. Syst. 37, No. 4, 1841-1856 (2017). MSC: 35Q92 35B44 35K55 PDFBibTeX XMLCite \textit{P. Biler} et al., Discrete Contin. Dyn. Syst. 37, No. 4, 1841--1856 (2017; Zbl 1360.35290) Full Text: DOI arXiv
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek Morrey spaces norms and criteria for blowup in chemotaxis models. (English) Zbl 1333.35299 Netw. Heterog. Media 11, No. 2, 239-250 (2016). MSC: 35Q92 35B44 35K55 35K40 PDFBibTeX XMLCite \textit{P. Biler} et al., Netw. Heterog. Media 11, No. 2, 239--250 (2016; Zbl 1333.35299) Full Text: DOI
Karch, Grzegorz; Zheng, Xiaoxin Time-dependent singularities in the Navier-Stokes system. (English) Zbl 1332.35311 Discrete Contin. Dyn. Syst. 35, No. 7, 3039-3057 (2015). MSC: 35Q40 76D05 PDFBibTeX XMLCite \textit{G. Karch} and \textit{X. Zheng}, Discrete Contin. Dyn. Syst. 35, No. 7, 3039--3057 (2015; Zbl 1332.35311) Full Text: DOI arXiv
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. (English) Zbl 1329.35316 Nonlinearity 28, No. 12, 4369-4387 (2015). MSC: 35Q92 35B44 35K55 PDFBibTeX XMLCite \textit{P. Biler} et al., Nonlinearity 28, No. 12, 4369--4387 (2015; Zbl 1329.35316) Full Text: DOI arXiv
Biler, Piotr; Guerra, Ignacio; Karch, Grzegorz Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane. (English) Zbl 1326.35398 Commun. Pure Appl. Anal. 14, No. 6, 2117-2126 (2015). MSC: 35Q92 35K40 92C17 PDFBibTeX XMLCite \textit{P. Biler} et al., Commun. Pure Appl. Anal. 14, No. 6, 2117--2126 (2015; Zbl 1326.35398) Full Text: DOI arXiv
Iftimie, Dragoş; Karch, Grzegorz; Lacave, Christophe Asymptotics of solutions to the Navier-Stokes system in exterior domains. (English) Zbl 1304.35493 J. Lond. Math. Soc., II. Ser. 90, No. 3, 785-806 (2014). MSC: 35Q30 76D05 35Q35 PDFBibTeX XMLCite \textit{D. Iftimie} et al., J. Lond. Math. Soc., II. Ser. 90, No. 3, 785--806 (2014; Zbl 1304.35493) Full Text: DOI arXiv
Karch, Grzegorz; Pilarczyk, Dominika Asymptotic stability of Landau solutions to Navier-Stokes system. (English) Zbl 1256.35061 Arch. Ration. Mech. Anal. 202, No. 1, 115-131 (2011). MSC: 35Q30 35B07 76D03 35B35 PDFBibTeX XMLCite \textit{G. Karch} and \textit{D. Pilarczyk}, Arch. Ration. Mech. Anal. 202, No. 1, 115--131 (2011; Zbl 1256.35061) Full Text: DOI arXiv
Biler, Piotr; Karch, Grzegorz Blowup of solutions to generalized Keller-Segel model. (English) Zbl 1239.35177 J. Evol. Equ. 10, No. 2, 247-262 (2010). MSC: 35R11 35Q92 35A01 35B44 PDFBibTeX XMLCite \textit{P. Biler} and \textit{G. Karch}, J. Evol. Equ. 10, No. 2, 247--262 (2010; Zbl 1239.35177) Full Text: DOI arXiv
Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz Global regular and singular solutions for a model of gravitating particles. (English) Zbl 1078.35097 Math. Ann. 330, No. 4, 693-708 (2004). Reviewer: Alexander I. Kheyfits (Bronx) MSC: 35Q40 82C21 35K15 35B40 PDFBibTeX XMLCite \textit{P. Biler} et al., Math. Ann. 330, No. 4, 693--708 (2004; Zbl 1078.35097) Full Text: DOI Link
Cannone, Marco; Karch, Grzegorz Smooth or singular solutions to the Navier-Stokes system? (English) Zbl 1042.35043 J. Differ. Equations 197, No. 2, 247-274 (2004). MSC: 35Q30 76D03 76D05 35B40 PDFBibTeX XMLCite \textit{M. Cannone} and \textit{G. Karch}, J. Differ. Equations 197, No. 2, 247--274 (2004; Zbl 1042.35043) Full Text: DOI arXiv