Dr. Simon Markfelder

Profile

Academic positionLecturer, Assistant Professor, Researcher
Research fieldsMathematics in fluid mechanics
Keywordsadmissibility criteria, measure-valued solutions, Onsager's conjecture, weak solutions, convex integration

Current contact address

CountryGermany
CityKonstanz
InstitutionUniversität Konstanz
InstituteFachbereich Mathematik und Statistik

Host during sponsorship

Prof. Dr. Edriss S. TitiCentre for Mathematical Sciences, University of Cambridge, Cambridge
Prof. Dr. Christian KlingenbergInstitut für Mathematik, Julius-Maximilians-Universität Würzburg, Würzburg
Start of initial sponsorship01/11/2020

Programme(s)

2020Feodor Lynen Research Fellowship Programme for Postdocs

Publications (partial selection)

2022E.~Feireisl and C.~Klingenberg and S.~Markfelder: {E}uler system with a polytropic equation of state as a vanishing viscosity limit. In: J. Math. Fluid Mech., 24, 2022,
2021S.~Markfelder: Convex Integration Applied to the Multi-Dimensional Compressible {E}uler Equations. Cham, Switzerland: Springer, 2021
2020H.~Al~Baba and C.~Klingenberg and O.~Kreml and V.~M{\'a}cha and S.~Markfelder: Non-uniqueness of admissible weak solutions to the {R}iemann problem for the full {E}uler system in 2D. In: SIAM J. Math. Anal., 52, 2020, 1729-1760
2020C.~Klingenberg and S.~Markfelder: Non-uniqueness of entropy-conserving solutions to the ideal compressible MHD equations. Hyperbolic Problems: Theory, Numerics, Applications. Springfield, MO: American Institute of Mathematical Sciences, 2020. 491-498
2020E.~Feireisl and C.~Klingenberg and O.~Kreml and S.~Markfelder: On oscillatory solutions to the complete {E}uler system. In: J. Differential Equations, 269, 2020, 1521-1543
2020E.~Feireisl and C.~Klingenberg and S.~Markfelder: On the density of ``wild'' initial data for the compressible {E}uler system. In: Calc. Var. Partial Differential Equations, 59, 2020,
2020C.~Klingenberg and O.~Kreml and V.~M{\'a}cha and S.~Markfelder: Shocks make the {R}iemann problem for the full {E}uler system in multiple space dimensions ill-posed. In: Nonlinearity, 33, 2020, 6517-6540
2019E.~Feireisl and C.~Klingenberg and S.~Markfelder: On the low {M}ach number limit for the compressible {E}uler system. In: SIAM J. Math. Anal., 51, 2019, 1496-1513
2018C.~Klingenberg and S.~Markfelder: Non-uniqueness of energy-conservative solutions to the isentropic compressible two-dimensional {E}uler equations. In: J. Hyperbolic Differ. Equ., 15, 2018, 721-730
2018C.~Klingenberg and S.~Markfelder: The {R}iemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock. In: Arch. Ration. Mech. Anal., 227, 2018, 967-994