Deutsch Intern
Mathematics in the Sciences

Joshua Kortum

Dr. Joshua Kortum

Acadamic Staff
Chair of Mathematics VI
Emil-Fischer-Straße 40
97074 Würzburg
Building: 40 (Mathematik Ost)
Room: 03.020
Phone: +49 931 31-80498
Fax: +49 931 31-80944

Preprints
  • J. Kortum, C.Y. Wang. Existence and compactness of global weak solutions of three-dimensional axisymmetric Ericksen-Leslie system. arXiv preprint arXiv:2403.18559 (2024) (Link https://arxiv.org/pdf/2403.18559)
Publications in refeered journals
  • F. De Anna, J. Kortum, S. Scrobogna: Quantitative aspects on the ill-posedness of the Prandtl and hyperbolic Prandtl equations. Zeitschrift für angewandte Mathematik und Physik 75(2), 47 (2024) (Link https://arxiv.org/pdf/2305.04664.pdf)
  • F. De Anna, J. Kortum, S. Scrobogna: Gevrey-class-3 regularity of the linearised hyperbolic Prandtl system on a strip. Journal of Mathematical Fluid Mechanics 25, 80 (2023). (Link https://arxiv.org/pdf/2301.00205.pdf)
  • F. De Anna, J. Kortum, A. Schlömerkemper: Struwe-type solutions for an evolutionary model of magnetoviscoelastic fluids. Journal of Differential Equations 309, p. 455 - 507 (2022). (Link  https://arxiv.org/pdf/2103.01647.pdf)
  • M. Kalousek, J. Kortum, A. Schlömerkemper: Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity. Discrete and Continuous Dynamical Systems-S 14(1), p. 17-39 (2020). (Link https://arxiv.org/pdf/1904.07179.pdf)
  • J. Kortum: Concentration-cancellation in the Ericksen-Leslie model. Calculus of Variations and Partial Differential Equations 59(6), Article Number 189 (2020). (Link https://arxiv.org/pdf/1912.10429.pdf)
Thesis
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Education:
 
since July 2022

Scientific stuff at Chair VI of the Mathematics Department of the University of Wuerzburg,  Mathematics in the Sciences
 
Okt. 2017 - June 2022 Promotionsstudium der Mathematik an der Universität Würzburg
Thesis: "Global Existence and Uniqueness Results for Nematic Liquid Crystal and Magnetoviscoeastic Flows"
Betreuer: Prof. Dr. Anja Schlömerkemper
Okt. 2015 - Aug. 2017 Studium der Mathematik (Masterstudiengang) an der Universität Würzburg
Abschluss: Master of Science
Thesis: "Existence of a solution for an evolutionary magnetostrictive model"
Betreuer: Prof. Dr. Anja Schlömerkemper
April 2013 - Okt. 2015 Studium der Mathematik (Bachelorstudiengang) an der Universität Würzburg
Abschluss: Bachelor of Science
Betreuer: Prof. Dr. Jürgen Appell
   

 

Current:

  • Mathematics for Computer Scientists, Wed 8-10, Exercises in Geometric Analysis, Fri 12-14

Past Courses:

  • Winter semester 2023/24, Exercises in Analysis 2, Exercises: Calculus & Linear Algebra for Economics and Management
  • Summer semester 2023, Exercises in Mathematics for Computer Scientists
  • Winter semester 2022/23 Exercices in Analysis 2, Exercises in Analysis in one Variable
  • Summer semester 2022, Exercices in Analysis 1
  • Winter semester 2021/22, Exercises in advanced Analysis
  • Summer semester 2021, Exercises in Geometric Analysis, Exercises in Analysis 2 
  • Winter semester 2020/21, Exercises in Analysis 2
  •  Summer semester 2020, Exercises in Analysis 1
  •  Winter semester 2019/20, Exercises in Introduction to Functional Analysis
  •  Summer semester 2019, Exercises in Analysis 2
  •  Winter semester 2018/19, exercises in advanced analysis
  •  Summer semester 2018, Exercises in Analysis 2
  •  Winter semester 2017/18, Exercises in Analysis 1