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- Baumstark, Simon; Schneider, Guido; Schratz, Katharina; Zimmermann, Dominik Effective slow dynamics models for a class of dispersive systems. J. Dynam. Differential Equations 32 (2020), no. 4, 1867–1899. 35L71
- Guillod, Julien; Schneider, Guido; Wittwer, Peter; Zimmermann, Dominik Nonlinear stability at the Eckhaus boundary. SIAM J. Math. Anal. 50 (2018), no. 5, 4699–4720. (Reviewer: Ivana Bochicchio) 35Q56 (35B35 35B40)
- Schneider, Guido; Zimmermann, Dominik The Turing instability in case of an additional conservation law—dynamics near the Eckhaus boundary and open questions. Patterns of dynamics, 28–43, Springer Proc. Math. Stat., 205, Springer, Cham, 2017. 35Q56 (35A01 35B36 37L15)
- Zimmermann, Dominik A rigorous justification of the Matthews-Cox approximation for the Nikolaevskiy equation. J. Differential Equations 262 (2017), no. 11, 5409–5424. 35G25 (35A35 35Q86)
- Düll, Wolf-Patrick; Sanei Kashani, Kourosh; Schneider, Guido; Zimmermann, Dominik Attractivity of the Ginzburg-Landau mode distribution for a pattern forming system with marginally stable long modes. J. Differential Equations 261 (2016), no. 1, 319–339. (Reviewer: Olivier J. Goubet) 35Q56 (35B25 35B41 35C20)
- Düll, Wolf-Patrick; Hermann, Alina; Schneider, Guido; Zimmermann, Dominik Justification of the 2D NLS equation for a fourth order nonlinear wave equation—quadratic resonances do not matter much in case of analytic initial conditions. J. Math. Anal. Appl. 436 (2016), no. 2, 847–867. (Reviewer: Pavel I. Naumkin) 35Q55 (35A10 35C20 35L76)
- Schneider, Guido; Sunny, Danish Ali; Zimmermann, Dominik The NLS approximation makes wrong predictions for the water wave problem in case of small surface tension and spatially periodic boundary conditions. J. Dynam. Differential Equations 27 (2015), no. 3-4, 1077–1099. 35Q35 (35Q55 76B15)
- Schneider, Guido; Zimmermann, Dominik Justification of the Ginzburg-Landau approximation for an instability as it appears for Marangoni convection. Math. Methods Appl. Sci. 36 (2013), no. 9, 1001–1013. (Reviewer: Xingbin Pan) 35Q56 (35B25 35C20 35Q35)
- Häcker, Tobias; Schneider, Guido; Zimmermann, Dominik Justification of the Ginzburg-Landau approximation in case of marginally stable long waves. J. Nonlinear Sci. 21 (2011), no. 1, 93–113. (Reviewer: Vicenţiu D. Rădulescu) 35Q56 (35A35 76E30 76M30)