Butuzov, Valentin; Nefedov, Nikolay; Omel’chenko, Oleh; Recke, Lutz Boundary layer solutions to singularly perturbed quasilinear systems. (English) Zbl 1507.34063 Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4255-4283 (2022). Reviewer: Dilmurat Tursunov (Osh) MSC: 34E15 34B15 34E10 PDFBibTeX XMLCite \textit{V. Butuzov} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4255--4283 (2022; Zbl 1507.34063) Full Text: DOI
Recke, Lutz Use of very weak approximate boundary layer solutions to spatially nonsmooth singularly perturbed problems. (English) Zbl 1484.34138 J. Math. Anal. Appl. 506, No. 1, Article ID 125552, 15 p. (2022). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34B08 34B15 47N20 PDFBibTeX XMLCite \textit{L. Recke}, J. Math. Anal. Appl. 506, No. 1, Article ID 125552, 15 p. (2022; Zbl 1484.34138) Full Text: DOI
Nefedov, N. N.; Nikulin, E. I.; Recke, L. On the existence and asymptotic stability of periodic contrast structures in quasilinear reaction-advection-diffusion equations. (English) Zbl 1416.35027 Russ. J. Math. Phys. 26, No. 1, 55-69 (2019). MSC: 35B25 35K20 35K57 35B10 35B35 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., Russ. J. Math. Phys. 26, No. 1, 55--69 (2019; Zbl 1416.35027) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Existence, asymptotics, stability and region of attraction of a periodic boundary layer solution in case of a double root of the degenerate equation. (English) Zbl 1418.35018 Comput. Math. Math. Phys. 58, No. 12, 1989-2001 (2018). MSC: 35B25 35K20 35K57 35B10 35B40 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Comput. Math. Math. Phys. 58, No. 12, 1989--2001 (2018; Zbl 1418.35018) Full Text: DOI
Omel’chenko, O. E.; Recke, L.; Butuzov, V. F.; Nefedov, N. N. Time-periodic boundary layer solutions to singularly perturbed parabolic problems. (English) Zbl 1362.35031 J. Differ. Equations 262, No. 9, 4823-4862 (2017). Reviewer: Denise Huet (Nancy) MSC: 35B25 35B10 35K20 35K58 PDFBibTeX XMLCite \textit{O. E. Omel'chenko} et al., J. Differ. Equations 262, No. 9, 4823--4862 (2017; Zbl 1362.35031) Full Text: DOI
Butuzov, Valentin F.; Nefedov, Nikolay N.; Recke, Lutz; Schneider, Klaus R. Periodic solutions with a boundary layer of reaction-diffusion equations with singularly perturbed Neumann boundary conditions. (English) Zbl 1300.35002 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440019, 8 p. (2014). MSC: 35B25 35K57 35B10 35B35 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 8, Article ID 1440019, 8 p. (2014; Zbl 1300.35002) Full Text: DOI
Kmit, I.; Recke, L. Hopf bifurcation for semilinear dissipative hyperbolic systems. (English) Zbl 1310.35030 J. Differ. Equations 257, No. 1, 264-309 (2014). Reviewer: Jean Mawhin (Louvain-La-Neuve) MSC: 35B32 47J15 35L50 35L60 35B10 PDFBibTeX XMLCite \textit{I. Kmit} and \textit{L. Recke}, J. Differ. Equations 257, No. 1, 264--309 (2014; Zbl 1310.35030) Full Text: DOI arXiv
Nefedov, N. N.; Recke, L.; Schneider, K. R. Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations. (English) Zbl 1325.35099 J. Math. Anal. Appl. 405, No. 1, 90-103 (2013). Reviewer: Rodica Luca (Iaşi) MSC: 35K57 35K20 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., J. Math. Anal. Appl. 405, No. 1, 90--103 (2013; Zbl 1325.35099) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Region of attraction of a periodic solution to a singularly perturbed parabolic problem. (English) Zbl 1253.35011 Appl. Anal. 91, No. 7, 1265-1277 (2012). MSC: 35B25 35B10 35K20 35K57 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., Appl. Anal. 91, No. 7, 1265--1277 (2012; Zbl 1253.35011) Full Text: DOI
Nefedov, N. N.; Nikitin, A. G.; Petrova, M. A.; Recke, L. Moving fronts in integro-parabolic reaction-advection-diffusion equations. (English. Russian original) Zbl 1269.45008 Differ. Equ. 47, No. 9, 1318-1332 (2011); translation from Differ. Uravn. 47, No. 9, 1305-1319 (2011). MSC: 45K05 45G10 45N05 PDFBibTeX XMLCite \textit{N. N. Nefedov} et al., Differ. Equ. 47, No. 9, 1318--1332 (2011; Zbl 1269.45008); translation from Differ. Uravn. 47, No. 9, 1305--1319 (2011) Full Text: DOI
Butuzov, V. F.; Nefedov, N. N.; Recke, L.; Schneider, K. R. Existence and stability of solutions with periodically moving weak internal layers. (English) Zbl 1158.35010 J. Math. Anal. Appl. 348, No. 1, 508-515 (2008). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K55 35B10 35B40 35K20 PDFBibTeX XMLCite \textit{V. F. Butuzov} et al., J. Math. Anal. Appl. 348, No. 1, 508--515 (2008; Zbl 1158.35010) Full Text: DOI