Wolf‐Patrick Düll

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All published works

Action	Title	Year	Authors
+	A variational perspective on auxetic metamaterials of checkerboard-type	2023	Wolf‐Patrick Düll Dominik Engl Carolin Kreisbeck
+	On the KdV approximation for a Boussinesq equation posed on the infinite necklace graph	2023	Wolf‐Patrick Düll Guido Schneider Raphael Taraca
+ PDF Chat	Validity of the Nonlinear Schrödinger Approximation for the Two-Dimensional Water Wave Problem With and Without Surface Tension in the Arc Length Formulation	2020	Wolf‐Patrick Düll
+ PDF Chat	The Korteweg–de Vries, Burgers and Whitham limits for a spatially periodic Boussinesq model	2018	Roman Bauer Wolf‐Patrick Düll Guido Schneider
+	Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation	2017	Wolf‐Patrick Düll Max Heß
+ PDF Chat	On the Mathematical Description of Time-Dependent Surface Water Waves	2017	Wolf‐Patrick Düll
+ PDF Chat	Justification of the Nonlinear Schrödinger Approximation for a Quasilinear Klein–Gordon Equation	2017	Wolf‐Patrick Düll
+	Justification of the Nonlinear Schr\"odinger approximation for a quasilinear wave equation	2016	Wolf‐Patrick Düll
+ PDF Chat	The Validity of Whitham's Approximation for a Klein--Gordon--Boussinesq Model	2016	Wolf‐Patrick Düll Kourosh Sanei Kashani Guido Schneider
+	Analysis of the embedded cell method for the numerical homogenization of metal-ceramic composite materials	2016	Wolf‐Patrick Düll Bastian Hilder Guido Schneider
+	Justification of the Nonlinear Schrödinger Equation for the Evolution of Gravity Driven 2D Surface Water Waves in a Canal of Finite Depth	2015	Wolf‐Patrick Düll Guido Schneider C. Eugene Wayne
+	NLS approximation of time oscillatory long waves for equations with quasilinear quadratic terms	2014	Martina Chirilus‐Bruckner Wolf‐Patrick Düll Guido Schneider
+	Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation	2014	Martina Chirilus‐Bruckner Wolf‐Patrick Düll Guido Schneider
+	The Existence of Bifurcating Invariant Tori in a Spatially Extended Reaction-Diffusion-Convection System with Spatially Localized Amplification	2013	Wolf‐Patrick Düll Andreas Kirchhoff Guido Schneider
+	Validity of the Korteweg–de Vries approximation for the two‐dimensional water wave problem in the arc length formulation	2011	Wolf‐Patrick Düll
+	Validity of Whitham’s Equations for the Modulation of Periodic Traveling Waves in the NLS Equation	2009	Wolf‐Patrick Düll Guido Schneider
+	Some Qualitative Properties of Solutions to a Pseudoparabolic Equation Modeling Solvent Uptake in Polymeric Solids	2006	Wolf‐Patrick Düll

Common Coauthors

Coauthor	Papers Together
Guido Schneider	8
Martina Chirilus‐Bruckner	2
C. Eugene Wayne	1
Guido Schneider	1
Bastian Hilder	1
Max Heß	1
Roman Bauer	1
Carolin Kreisbeck	1
Raphael Taraca	1
Dominik Engl	1
Andreas Kirchhoff	1
Kourosh Sanei Kashani	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The long-wave limit for the water wave problem I. The case of zero surface tension	2000	Guido Schneider C. Eugene Wayne	10
+ PDF Chat	The Rigorous Approximation of Long-Wavelength Capillary-Gravity Waves	2002	Guido Schneider C. Eugene Wayne	9
+	ASYMPTOTIC DECAY OF A ONE-DIMENSIONAL WAVE PACKET IN A NONLINEAR DISPERSIVE MEDIUM	1988	L. A. Kalyakin	8
+ PDF Chat	A Rigorous Justification of the Modulation Approximation to the 2D Full Water Wave Problem	2012	Nathan Totz Sijue Wu	7
+	Validity of the Korteweg–de Vries approximation for the two‐dimensional water wave problem in the arc length formulation	2011	Wolf‐Patrick Düll	6
+	Justification of modulation equations for hyperbolic systems via normal forms	1998	Guido Schneider	6
+	An existence theory for water waves and the boussinesq and korteweg-devries scaling limits	1985	Walter Craig	6
+	Justification of the Nonlinear Schrödinger Equation for the Evolution of Gravity Driven 2D Surface Water Waves in a Canal of Finite Depth	2015	Wolf‐Patrick Düll Guido Schneider C. Eugene Wayne	6
+ PDF Chat	Justification of the NLS approximation for a quasilinear water wave model	2011	Guido Schneider C. Eugene Wayne	5
+ PDF Chat	The Lifespan of Small Data Solutions in Two Dimensional Capillary Water Waves	2017	Mihaela Ifrim Daniel Tataru	5
+ PDF Chat	A Justification of the Modulation Approximation to the 3D Full Water Wave Problem	2015	Nathan Totz	5
+ PDF Chat	Global solutions for the gravity water waves equation in dimension 3	2012	Pierre Germain Nader Masmoudi Jilal Shatah	4
+ PDF Chat	Global wellposedness of the 3-D full water wave problem	2010	Sijue Wu	4
+	Normal forms and quadratic nonlinear Klein‐Gordon equations	1985	Jalal Shatah	4
+ PDF Chat	Two Dimensional Water Waves in Holomorphic Coordinates	2016	John K. Hunter Mihaela Ifrim Daniel Tataru	4
+ PDF Chat	The zero surface tension limit two‐dimensional water waves	2005	David A. Ambrose Nader Masmoudi	4
+ PDF Chat	Justification of the NLS Approximation for the KdV Equation Using the Miura Transformation	2011	Guido Schneider	4
+ PDF Chat	Gravity Waves on the Free Surface of an Incompressible Perfect Fluid of Finite Depth	1982	Hideaki Yosihara	3
+	Well-Posedness of Vortex Sheets with Surface Tension	2003	David M. Ambrose	3
+ PDF Chat	Global solutions for the gravity water waves system in 2d	2014	Alexandru D. Ionescu Fabio Pusateri	3
+ PDF Chat	The validity of modulation equations for extended systems with cubic nonlinearities	1992	Pius Kirrmann Guido Schneider Alexander Mielke	3
+	A general approach to linear and non-linear dispersive waves using a Lagrangian	1965	G. B. Whitham	3
+ PDF Chat	On the Korteweg–de Vries approximation for uneven bottoms	2008	Florent Chazel	3
+	NLS approximation of time oscillatory long waves for equations with quasilinear quadratic terms	2014	Martina Chirilus‐Bruckner Wolf‐Patrick Düll Guido Schneider	3
+	Well-posedness of the water-waves equations	2005	David Lannes	3
+	The role of the nonlinear Schrödinger equation in nonlinear optics	2011	Willy Dörfler Armin Lechleiter Michael Plum Guido Schneider Christian Wieners	3
+	The zero surface tension limit of three-dimensional water waves	2009	David M. Ambrose Nader Masmoudi	3
+ PDF Chat	Two dimensional water waves in holomorphic coordinates II: global solutions	2016	Mihaela Ifrim Daniel Tataru	3
+ PDF Chat	Multifrequency NLS Scaling for a Model Equation of Gravity‐Capillary Waves	2013	Nader Masmoudi Kenji Nakanishi	3
+	A Long Wave Approximation for Capillary-Gravity Waves and an Effect of the Bottom	2007	Tatsuo Iguchi	3
+ PDF Chat	Justification of the Nonlinear Schrödinger Approximation for a Quasilinear Klein–Gordon Equation	2017	Wolf‐Patrick Düll	3
+ PDF Chat	Long time solutions for a Burgers-Hilbert equation via a modified energy method	2015	John K. Hunter Mihaela Ifrim Daniel Tataru Tak Kwong Wong	3
+ PDF Chat	Long Wave Approximations for Water Waves	2005	Jerry L. Bona Thierry Colin David Lannes	3
+	Approximation of the Korteweg–de Vries Equation by the Nonlinear Schrödinger Equation	1998	Guido Schneider	3
+ PDF Chat	Well-posedness in Sobolev spaces of the full water wave problem in 2-D	1997	Sijue Wu	3
+ PDF Chat	Almost global wellposedness of the 2-D full water wave problem	2009	Sijue Wu	3
+	KP description of unidirectional long waves. The model case	2001	Thierry Gallay Guido Schneider	3
+	Existence of long time solutions and validity of the nonlinear Schrödinger approximation for a quasilinear dispersive equation	2017	Wolf‐Patrick Düll Max Heß	2
+	Rigorous description of macroscopic wave packets in infinite periodic chains of coupled oscillators by modulation equations	2012	Martina Chirilus‐Bruckner Christopher Chong Oskar Prill Guido Schneider	2
+ PDF Chat	Finite Depth Gravity Water Waves in Holomorphic Coordinates	2017	Benjamin Harrop‐Griffiths Mihaela Ifrim Daniel Tataru	2
+	Global regularity for the 3D finite depth capillary water waves	2016	Xuecheng Wang	2
+	On a Solution on Non-Linear Time-Evolution Equation of Fifth Order	1981	Yosinori Yamamoto Éi Iti Takizawa	2
+ PDF Chat	A MATHEMATICAL JUSTIFICATION OF THE FORCED KORTEWEG-DE VRIES EQUATION FOR CAPILLARY-GRAVITY WAVES	2006	Tatsuo Iguchi	2
+ PDF Chat	The KdV/KP-I Limit of the Nonlinear Schrödinger Equation	2010	David Chiron Frédéric Rousset	2
+	A LONG WAVE APPROXIMATION FOR CAPILLARY-GRAVITY WAVES AND THE KAWAHARA EQUATION	2013	Tatsuo Iguchi	2
+ PDF Chat	Corrections to the KdV Approximation for Water Waves	2005	James Wright	2
+	Micro–macro transition in the atomic chain via Whitham's modulation equation	2005	Wolfgang Dreyer Michael Herrmann Alexander Mielke	2
+	Validity of Whitham’s Equations for the Modulation of Periodic Traveling Waves in the NLS Equation	2009	Wolf‐Patrick Düll Guido Schneider	2
+ PDF Chat	The time dependent amplitude equation for the Swift-Hohenberg problem	1990	Pierre Collet Jean-Pierre Eckmann	2
+ PDF Chat	Large time existence for 3D water-waves and asymptotics	2007	Borys Álvarez-Samaniego David Lannes	2