Dr. Simon Markfelder

Profil

Derzeitige StellungProfessor W-1 und Äquivalente
FachgebietMathematik in der Fluidmechanik
Keywordsadmissibility criteria, measure-valued solutions, Onsager's conjecture, weak solutions, convex integration

Aktuelle Kontaktadresse

LandDeutschland
OrtKonstanz
Universität/InstitutionUniversität Konstanz
Institut/AbteilungFachbereich Mathematik und Statistik

Gastgeber*innen während der Förderung

Prof. Dr. Edriss S. TitiCentre for Mathematical Sciences, University of Cambridge, Cambridge
Prof. Dr. Christian KlingenbergInstitut für Mathematik, Julius-Maximilians-Universität Würzburg, Würzburg
Beginn der ersten Förderung01.11.2020

Programm(e)

2020Feodor Lynen-Forschungsstipendien-Programm für Postdocs

Publikationen (Auswahl)

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