Edit Profile (opens in new tab) Düll, Wolf-Patrick Co-Author Distance Author ID: dull.wolf-patrick Published as: Düll, Wolf-Patrick External Links: MGP Documents Indexed: 26 Publications since 2004, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 14 Co-Authors with 17 Joint Publications 186 Co-Co-Authors all top 5 Co-Authors 9 single-authored 15 Schneider, Guido 2 Chirilus-Bruckner, Martina 2 Kashani, Kourosh Sanei 2 Zimmermann, Dominik 1 Bauer, Roman 1 Engl, Dominik 1 Hermann, Alina 1 Heß, Max 1 Hilder, Bastian 1 Kirchhoff, Andreas 1 Kreisbeck, Carolin 1 Taraca, Raphael 1 Uecker, Hannes 1 Wayne, Clarence Eugene all top 5 Serials 3 Journal of Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Mathematical Analysis 2 Journal of Nonlinear Science 2 Nonlinear Analysis. Real World Applications 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Bonner Mathematische Schriften all top 5 Fields 24 Partial differential equations (35-XX) 10 Fluid mechanics (76-XX) 2 Mechanics of deformable solids (74-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 126 times in 67 Documents Cited by ▼ Year ▼ Justification of the nonlinear Schrödinger equation for the evolution of gravity driven 2D surface water waves in a canal of finite depth. Zbl 1334.35313 Düll, Wolf-Patrick; Schneider, Guido; Wayne, C. Eugene 23 2016 Justification of the nonlinear Schrödinger equation for a resonant Boussinesq model. Zbl 1194.35362 Düll, Wolf-Patrick; Schneider, Guido 17 2006 Validity of the Korteweg-de Vries approximation for the two-dimensional water wave problem in the arc length formulation. Zbl 1234.35218 Düll, Wolf-Patrick 14 2012 Justification of the nonlinear Schrödinger approximation for a quasilinear Klein-Gordon equation. Zbl 1374.35373 Düll, Wolf-Patrick 13 2017 Validity of Whitham’s equations for the modulation of periodic traveling waves in the NLS equation. Zbl 1179.35305 Düll, Wolf-Patrick; Schneider, Guido 12 2009 Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation. Zbl 1386.35377 Düll, Wolf-Patrick; Heß, Max 10 2018 NLS approximation of time oscillatory long waves for equations with quasilinear quadratic terms. Zbl 1311.35164 Chirilus-Bruckner, Martina; Düll, Wolf-Patrick; Schneider, Guido 6 2015 Some qualitative properties of solutions to a pseudoparabolic equation modeling solvent uptake in polymeric solids. Zbl 1106.35031 Düll, Wolf-Patrick 5 2006 Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation. Zbl 1315.35185 Chirilus-Bruckner, Martina; Düll, Wolf-Patrick; Schneider, Guido 5 2014 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. Zbl 1333.35251 Düll, Wolf-Patrick; Hermann, Alina; Schneider, Guido; Zimmermann, Dominik 4 2016 The validity of phase diffusion equations and of Cahn-Hilliard equations for the modulation of pattern in reaction-diffusion systems. Zbl 1120.35051 Düll, Wolf-Patrick 3 2007 A waiting time phenomenon in pattern forming systems. Zbl 1190.35029 Düll, Wolf-Patrick; Schneider, Guido 3 2009 Validity of the Cahn-Hilliard approximation for modulations of slightly unstable pattern in the real Ginzburg-Landau equation. Zbl 1295.35247 Düll, Wolf-Patrick 3 2013 Validity of the nonlinear Schrödinger approximation for the two-dimensional water wave problem with and without surface tension in the arc length formulation. Zbl 1459.35315 Düll, Wolf-Patrick 3 2021 Attractivity of the Ginzburg-Landau mode distribution for a pattern forming system with marginally stable long modes. Zbl 1341.35152 Düll, Wolf-Patrick; Kashani, Kourosh Sanei; Schneider, Guido; Zimmermann, Dominik 2 2016 A waiting time phenomenon for modulations of pattern in reaction-diffusion systems. Zbl 1246.35103 Düll, Wolf-Patrick 1 2012 On the mathematical description of time-dependent surface water waves. Zbl 1446.76079 Düll, Wolf-Patrick 1 2018 The Korteweg-de Vries, Burgers and Whitham limits for a spatially periodic Boussinesq model. Zbl 1421.35319 Bauer, Roman; Düll, Wolf-Patrick; Schneider, Guido 1 2019 Validity of the nonlinear Schrödinger approximation for the two-dimensional water wave problem with and without surface tension in the arc length formulation. Zbl 1459.35315 Düll, Wolf-Patrick 3 2021 The Korteweg-de Vries, Burgers and Whitham limits for a spatially periodic Boussinesq model. Zbl 1421.35319 Bauer, Roman; Düll, Wolf-Patrick; Schneider, Guido 1 2019 Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation. Zbl 1386.35377 Düll, Wolf-Patrick; Heß, Max 10 2018 On the mathematical description of time-dependent surface water waves. Zbl 1446.76079 Düll, Wolf-Patrick 1 2018 Justification of the nonlinear Schrödinger approximation for a quasilinear Klein-Gordon equation. Zbl 1374.35373 Düll, Wolf-Patrick 13 2017 Justification of the nonlinear Schrödinger equation for the evolution of gravity driven 2D surface water waves in a canal of finite depth. Zbl 1334.35313 Düll, Wolf-Patrick; Schneider, Guido; Wayne, C. Eugene 23 2016 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. Zbl 1333.35251 Düll, Wolf-Patrick; Hermann, Alina; Schneider, Guido; Zimmermann, Dominik 4 2016 Attractivity of the Ginzburg-Landau mode distribution for a pattern forming system with marginally stable long modes. Zbl 1341.35152 Düll, Wolf-Patrick; Kashani, Kourosh Sanei; Schneider, Guido; Zimmermann, Dominik 2 2016 NLS approximation of time oscillatory long waves for equations with quasilinear quadratic terms. Zbl 1311.35164 Chirilus-Bruckner, Martina; Düll, Wolf-Patrick; Schneider, Guido 6 2015 Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation. Zbl 1315.35185 Chirilus-Bruckner, Martina; Düll, Wolf-Patrick; Schneider, Guido 5 2014 Validity of the Cahn-Hilliard approximation for modulations of slightly unstable pattern in the real Ginzburg-Landau equation. Zbl 1295.35247 Düll, Wolf-Patrick 3 2013 Validity of the Korteweg-de Vries approximation for the two-dimensional water wave problem in the arc length formulation. Zbl 1234.35218 Düll, Wolf-Patrick 14 2012 A waiting time phenomenon for modulations of pattern in reaction-diffusion systems. Zbl 1246.35103 Düll, Wolf-Patrick 1 2012 Validity of Whitham’s equations for the modulation of periodic traveling waves in the NLS equation. Zbl 1179.35305 Düll, Wolf-Patrick; Schneider, Guido 12 2009 A waiting time phenomenon in pattern forming systems. Zbl 1190.35029 Düll, Wolf-Patrick; Schneider, Guido 3 2009 The validity of phase diffusion equations and of Cahn-Hilliard equations for the modulation of pattern in reaction-diffusion systems. Zbl 1120.35051 Düll, Wolf-Patrick 3 2007 Justification of the nonlinear Schrödinger equation for a resonant Boussinesq model. Zbl 1194.35362 Düll, Wolf-Patrick; Schneider, Guido 17 2006 Some qualitative properties of solutions to a pseudoparabolic equation modeling solvent uptake in polymeric solids. Zbl 1106.35031 Düll, Wolf-Patrick 5 2006 all cited Publications top 5 cited Publications all top 5 Cited by 90 Authors 17 Schneider, Guido 10 Düll, Wolf-Patrick 7 Bridges, Thomas J. 4 Liu, Huimin 4 Pu, Xueke 3 Ambrose, David M. 3 Chong, Christopher 3 Craig, Walter 3 Haas, Tobias 3 Heß, Max 3 Ratliff, Daniel J. 3 Sulem, Catherine 2 Bian, Dongfen 2 Cao, Yang 2 Cummings, Patrick 2 Guyenne, Philippe 2 Hur, Vera Mikyoung 2 Ifrim, Mihaela 2 Kostianko, Anna 2 Li, Yinghua 2 Su, Qingtang 2 Tataru, Daniel 2 Wayne, Clarence Eugene 2 Yin, Jingxue 2 Zimmermann, Dominik 1 Ai, Albert 1 Amar, Micol 1 Andreucci, Daniele 1 Avery, Montie 1 Bauer, Roman 1 Bianchi, Luigi Amedeo 1 Blömker, Dirk 1 Bronski, Jared C. 1 Chen, Gong 1 Chirilus-Bruckner, Martina 1 de Bouard, Anne 1 de Derijk, Björn 1 de Rijk, Björn 1 Dohnal, Tomáš 1 Fadhiliani, Dwi 1 Fukuizumi, Reika 1 Gauckler, Ludwig J. 1 Gianni, Roberto 1 Giannoulis, Ioannis 1 Goh, Ryan N. 1 Goodloe, Oscar 1 Halfiani, Vera 1 Hausenblas, Erika 1 Hermann, Alina 1 Hilder, Bastian 1 Holland, Eleanor 1 Hunter, John K. 1 Israwi, Samer 1 Jin, Shoubo 1 Johnson, Mathew A. 1 Kalisch, Henrik 1 Kashani, Kourosh Sanei 1 Kevrekidis, Panayotis G. 1 Khorbatly, Bashar 1 Li, Ting 1 Liu, Changying 1 Liu, Shunlian 1 Liu, Yue 1 Lu, Jianfeng 1 Mardi, Harish Abdillah 1 Marzuola, Jeremy Louis 1 Masmoudi, Nader 1 Milewski, Andrew R. 1 Moreno-Vasquez, Ryan C. 1 Nakanishi, Kenji 1 Ramli, Marwan 1 Rousset, Frédéric 1 Scheel, Arnd 1 Schnaubelt, Roland 1 Schratz, Katharina 1 Seam, Ngonn 1 Showalter, Ralph E. 1 Shu, Jingyang 1 Sunny, Danish Ali 1 Tietz, Daniel P. 1 Timofte, Claudia 1 Totz, Nathan 1 Vallet, Guy 1 Wang, Bin 1 Wright, J. Douglas 1 Yang, Xiongfeng 1 Zelik, Sergey V. 1 Zhang, Qingtian 1 Zhang, Qun 1 Zhang, Zufeng all top 5 Cited in 39 Serials 7 Journal of Differential Equations 5 Journal of Mathematical Analysis and Applications 4 Communications in Mathematical Physics 4 SIAM Journal on Mathematical Analysis 3 Archive for Rational Mechanics and Analysis 3 Studies in Applied Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Physica D 2 Journal of Dynamics and Differential Equations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Nonlinear Analysis. Real World Applications 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Calcolo 1 Indiana University Mathematics Journal 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 Acta Mathematica Sinica. English Series 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Biomathematics 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Science China. Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Water Waves all top 5 Cited in 14 Fields 63 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 Difference and functional equations (39-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year