Wolf-Patrick Düll

List of Publications (PDF)

Lectures:

• Summer Term 2026: Höhere Analysis
• Winter Term 2025/2026: Analysis 3
• Summer Term 2025: Analysis 2
• Winter Term 2024/2025: Analysis 1
• Summer Term 2024:Funktionalanalysis 2
• Winter Term 2023/2024: Modukationsgleichungen
• Summer Term 2023: Dynamische Systeme
• Winter Term 2022/2023:  Nichtlineare partielle Differentialgleichungen
• Summer Term: 2022: Funktionalanaysis 2
• Winter Term 2021/2022: Mudulationsgleichungen
• Summer Term 2021: Nichtlineare partielle Differentialgleichungen
• Winter Term 2020/2021: Funktionalanalysis
• Summer Term 2020: Funktionalanalysis
• Winter Term 2019/2020: Modulationsgleichungen
• Summer Term 2019: Höhere Mathematik 2 für el, kyb, mecha, phys, tpel 
• Winter Term 2018/2019: Höhere Mathematik 1 für el, kyb, mecha, phys  
• Summer Term 2018: Höhere Analysis 
• Winter Term 2017/2018: Analysis 3, Modulationsgleichungen 
• Summer Term 2017: Mathematik II für Informatiker und Softwaretechniker
• Winter Term 2016/2017: Mathematik I für Informatiker und Softwaretechniker
• Summer Term 2016: Modulationsgleichungen
• Winter Term 2015/2016:Nichtlineare partielle Differentialgleichungen
• Summer Term 2015: Funktionalanalysis II
• Winter Term 2014/2015: Funktionalanalysis
• Summer Term  2014: Nichtlineare partielle Differentialgleichungen,
  Mathematik 2 für inf, swt
• Winter Term  2013/2014: Mathematik 1 für inf, swt
• Summer Term  2013: Funktionalanalysis II
• Winter Term  2012/2013: Funktionalanalysis
• Summer Term 2012: Höhere Mathematik 4 für kyb,
  Nichtlineare Partielle Differentialgleichungen
• Summer Term 2008: Mathematics for Infotech

Seminars:

• Summer Term 2026: Proseminar Analysis
• Summer Term 2024: Masterseminar Partielle Differentialgleichungen und Funktionalanalysis
• Winter Term 2023/2024: Haupt- und Master-Seminar Dynamische Systeme
• Winter Term 2022/2023: Masterseminar Funktionalanalysis
• Soúmmer Term 2022: Haupt- und Masteseminar Nichtlineare Partielle Differentialgleichungen
• Winter Term 2021/2022: Haupt- und Masteseminar Nichtlineare Partielle Differentialgleichungen
• Summer Term 2021: Haupt- und Masterseminar Funktionalanalysis und Variationsrechnung
• Winter Term 2020/2021: Haupt- und Masterseminar Funktionalanalysis
• Summer Term 2020: Haupt- und Masterseminar Partielle Differentialgleichungen
• Winter Term 2019/2020: Haupt- und Masterseminar Funktionalanalysis
• Summer Term 2019: Haupt- und Masterseminar Funktionalanalysis
• Winter Term 2018/2019: Hauptseminar Höhere Analysis
• Summer Term 2018: Hauptseminar Analysis für das Lehramt, Proseminar Analysis,
• Summer Term 2017: Haupt- und Masterseminar Partielle Differentialgleichungen
• Winter Term 2016/2017: Masterseminar Funktionalanalysis
• Summer Term 2016: Haupt- und Masterseminar Funktionalanalysis und Partielle Differentialgleichun-
  gen
• Summer Term 2015: Masterseminar Funktionalanalysis
• Winter Term 2014/2015: Masterseminar Partielle Differentialgleichungen und Dynamische Systeme
• Winter Term 2013/2014: Masterseminar Funktionalanalysis
• Summer Term 2013: Masterseminar Funktionalanalysis
• Winter Term 2012/2013: Masterseminar Partielle Differentialgleichungen und Dynamische Systeme

11.2022 - 10.2025:
DFG-Sachbeihilfe DU 1198/2-3
Project: Rechtfertigung der Nichtlinearen Schrodinger-Approximation fur das Wasserwellenproblem mit Oberachenspannung

04.2017 - 03.2020:
DFG-Sachbeihilfe DU 1198/2-1
Project: Rechtfertigung der Nichtlinearen Schrodinger-Approximation fur das Wasserwellenproblem mit Oberachenspannung

12.2012 - 09.2016:
DFG-Sachbeihilfe SCHN 520/9-1 (gemeinsam mit Guido Schneider)
Project: Untersuchung der Gultigkeit der Whitham-Approximation

01.2009 - 06.2010:
DFG-Forschungsstipendium DU 1198/1-1, DU 1198/1-2
Project: Rechtfertigung von Approximationsgleichungen fur Wasserwellen

• Max Heß: Validity of the nonlinear Schrödinger approximation
  for quasilinear dispersive systems (2019)

Bachelortheses       

• Threshold Dynamics in the Non-Autonomous SIR Model with Time-Dependent Transmission Rate Compared to the Classical SIR Model (2026)
• Functions of Bounded Variation (2026)
• The Spectral Theorem for Bounded Operators and its Generalization for Unbounded Operators (2026)
• Modulated Cnoidal Waves (2023) 
• Applications of Functionalanalytic Methods to Investigate Stability of Stationary Flows with Vorticity (2023)
• Riemann Zeta Function (2023)
• Hamiltonian Structure and Birkhoff's Normal Form for Quasilinear Klein-Gordon Equations on One-dimensional Tori  (2023)
• Consistency and Error Estimates for the Nonlinear Schrödinger Approximation of a One-dimensional Quasilinear Dispersive Equation with Periodic Coefficients (2023)
• Miplier theorems (2022)
• Derivation and consistency of the nonlinear Schrödinger approximation for a one-dimensional quasilinear dispersive equation with periodic coefficients (2021)
• The NLS approximation for the two-dimensional water wave problem with infinite depth and without surface tension in holomorphic coordinates (2019)
• The water wave problem with finite depth of water and without surface tension in holomorphic coordinates (2019)
• The water wave problem with infinite depth of water and without surface tension in holomorphic coordinates (2019)
• Liouville's theorem for quasiregular mappings (2019)
• Hyperbolic Systems (2017)
• Theory of monotone operators with applications to quasilinear elliptic equations (2016)
• Introduction to Littlewood-Paley theory (2015)
• Homogenization with applications in elasticity theory (2015)

Mastertheses

• On the Extension of an Energy Method for Regularly Perturbed Hamiltonian Systems to Dissipative Systems (2026)
• Ventilatory Threshold Estimation in Endurance Sports Through Hurst Exponent Analysis of Heart Rate Variability (2026)
• The Two-Dimensional Water Wave Problem with Vorticity and the Consistency of the Korteweg-de Vries Approximation (2025)
• Investigation of the Nonlinear Stability of 2-Dimensional Fluid Flows with Free Surface and Vorticity (2025)
• Validity of the Nonlinear Schrödinger Approximation for a One-dimensional Quasilinear Dispersive Equation with Periodic Coefficients (2023)
• On the validity of the Nonlinear Schrödinger approximation with applications to relativistic Bose-Einstein condensation (2023)
• On the derivation of the nonlinear Schrödinger approximation for the two-dimensional water wave problem with periodic bottom in the arc length formulation (2022)
• Validity of the nonlinear Schrödinger approximation for two-dimensional quasilinear dispersive systems with resonances (2021)
• Numerical evidence of the NLS approximation of quasilinear dispersive systems (2019)
• Validity of the Nonlinear Schrödinger approximation for a quasilinear dispersive equation (2015)