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Deutsch Intern
  • Picture of the Workgroup
Mathematical Fluid Mechanics

Simon Markfelder

Simon Markfelder

Academic Staff
Professorship at the Chair of Mathematics VI
Emil-Fischer-Straße 40
97074 Würzburg
Building: 40 (Mathematik Ost)
Room: 03.012
Portrait Simon Markfelder

  • C. Klingenberg, S. Markfelder: Non-uniqueness of entropy-conserving solutions to the ideal compressible MHD equations. Accepted in Proceedings of HYP2018, AIMS Journals (2019), arXiv: 1902.01446 view PDF
  • E. Feireisl, C. Klingenberg, S. Markfelder: On the low Mach number limit for the compressible Euler system. SIAM J. Math. Anal. 51(2), 1496-1513 (2019), arXiv: 1804.09509 view PDF
  • C. Klingenberg, S. Markfelder: Non-uniqueness of energy-conservative solutions to the isentropic compressible two-dimensional Euler equations. J. Hyperbolic Differ. Equ. 15(4), 721-730 (2018), arXiv: 1709.04982 view PDF
  • C. Klingenberg, S. Markfelder: The Riemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock. Arch. Ration. Mech. Anal. 227(3), 967-994 (2018), arXiv: 1708.01063 view PDF

 

Submitted:

  • E. Feireisl, C. Klingenberg, S. Markfelder: On the density of wild initial data for the compressible Euler system. Submitted, arXiv: 1812.11802 (2018) view PDF
  • H. Al Baba, C. Klingenberg, O. Kreml, V. Macha, S. Markfelder: Non-uniqueness of admissible weak solutions to the Riemann problem for the full Euler system in 2D. Submitted (under 2nd round review), arXiv: 1805.11354 (2018) view PDF
  • E. Feireisl, C. Klingenberg, O. Kreml, S. Markfelder: On oscillatory solutions to the complete Euler system. Submitted, arXiv: 1710.10918 (2017) view PDF

 

In Preparation:

  • S. Markfelder: Finding the Λ-convex hull for Gromov convex integration applied to the compressible Euler equations. in preparation
  • C. Klingenberg, O. Kreml, V. Macha, S. Markfelder: Shocks make the Riemann problem for the full Euler system in multiple space dimensions ill-posed. in preparation
  • E. Feireisl, C. Klingenberg, S. Markfelder: On the zero viscosity and heat conductivity limit of the Navier-Stokes-Fourier equations to the full Euler system. in preparation

Academic Education

Jan. 2017 - present PhD studies of Mathematics at University of Würzburg
Thesis: "Understanding the Multi-Dimensional Compressible Euler Equations: Convex Integration and Other Methods"
Advisor: Prof. Dr. Christian Klingenberg
 
Oct. 2014 - Dec. 2016 Studies of Mathematics (Master course) at University of Würzburg
Degree: Master of Science
Thesis: "On Uniqueness of solutions to the two-dimensional compressible Euler equations"
Advisor: Prof. Dr. Christian Klingenberg
 
May 2011 - Sept. 2014     Studies of Mathematical Physics (Bachelor course) at University of Würzburg
Degree: Bachelor of Science
 

 

Long Term Academic Stays

Feb. - Mar. 2018 Institute of Mathematics of the Czech Academy of Sciences, Prague, Czech Republic
  • One month stay
  • Advisor: Prof. Eduard Feireisl
 
Aug. - Oct. 2016 Center for Applicable Mathematics of the Tata Institute of Fundamental Research, Bangalore, India
  • Two months stay
  • Supported by the DAAD programme "A new Passage to India"
 
Sept. 2014 - Feb. 2015     University of Padova, Italy
  • One semester abroad
  • Supported by the Erasmus+ programme
 

current:

winter 2019/20: Exercise classes to Analysis 1

 

previous semesters

summer 2019: Exercise classes to Linear Algebra 1

winter 2018/19: Exercise classes to Introduction to partial differential equations

summer 2018: Exercise classes to Linear Algebra 2

winter 2017/18: Exercise classes to Linear Algebra 1

summer 2017: Exercise classes to Analysis 2