
Selected Publications
Find here a complete list of publications.
C. Mindrila, S. Schwarzacher: Timeperiodic weak solutions for an incompressible Newtonian fluid interacting with an elastic plate, accepted on SIAM Journal on Mathematical Analysis, (2022), Preprint.
G. Gravina, S. Schwarzacher, O. Soucek, K. Tuma: Contactless rebound of elastic bodies in a viscous incompressible fluid, accepted in Journal of Fluid Mechanics, (2022), Preprint.
S. Schwarzacher, M. Sroczinski: Weakstrong uniqueness for an elastic plate interacting with the Navier Stokes equation, accepted on SIAM Journal on Mathematical Analysis, (2022), Preprint.
S. Schwarzacher, B. She: On numerical approximations to fluidstructure interactions involving compressible fluids, (2022), accepted in Numerische Mathematik Preprint.
D. Breit and S. Schwarzacher: NavierStokesFourier fluids interacting with elastic shells, (2021), accepted at Annali della Scuola Normale di Pisa  Classe di Scienze, Preprint.
D. Breit, A. Cianchi, L. Diening, S. Schwarzacher: Global Schauder estimates for the pLaplace system, accepted in Arch. Rat. Mech. Anal, (2021) Preprint.
B. Muha, S. Schwarzacher: Existence and regularity for weak solutions for a fluid interacting with a nonlinear shell in 3D, accepted in Annal. l'Inst. H. Poinc. (C) Anal. Non Lin., (2021), Preprint.
R. Hofer, K. Kowalczyk, S. Schwarzacher: Darcy's law as low Mach and homogenization limit of a compressible fluid in perforated domains, Vol. 31, p. 1787  1819, (2021). Preprint.
C. Mindrila, S. Schwarzacher: Existence of steady very weak solutions to NavierStokes equations with nonNewtonian stress tensors, JDE, Vol. 279, p. 1045, (2021). Preprint.
F. Rindler, S. Schwarzacher, J. J. L. Velazquez: Twospeed solutions to nonconvex rateindependent systems, Arch. Rat. Mech. Anal., Vol. 239, p. 16671731 (2021). Preprint.
U. Gianazza and S. Schwarzacher: Selfimproving property of the fast diffusion equation, JFA, Vol. 277, p. 108291, (2019). Preprint.
M. Bulicek, J. Burczak, S. Schwarzacher: Well posedness of nonlinear parabolic systems beyond duality, Annal. l'Inst. H. Poinc. (C) Anal. Non Lin., Vol. 36, p. 14671500, (2019). Preprint.
U. Gianazza and S. Schwarzacher: Selfimproving property of degenerate parabolic equations of porous mediumtype, (2019), Amer. J. Math., Vol.
141, p. 399446. Preprint.
Y. Lu and S. Schwarzacher: Homogenization of the compressible NavierStokes equations in domains with very tiny holes (2018), JDE 265 (4), 13711406. Preprint.
D. Breit and S. Schwarzacher: Compressible fluids interacting with a linearelastic shell, Arch. Rat. Mech. Anal, (2018), Vol. 228, p. 495562.
Preprint.
D. Breit, A. Cianchi, L. Diening, T. Kuusi and S. Schwarzacher: Pointwise CalderonZygmund gradient estimates for the pLaplace system, JMPA, (2018), Vol.114, p. 146190. Preprint.
F. Rindler, S. Schwarzacher, E. Suli: Regularity and approximation of strong solutions to rateindependent systems, M3AS, (2017), Vol.27, p. 25112556. Preprint.
L. Diening, S. Schwarzacher, B. Stroffolini and A. Verde: Parabolic Lipschitz truncation and Caloric Approximation, Calc. of Var. and PDE, (2017), Vol. 56, p. 120. Preprint.
M. Bulicek, J. Burczak and S. Schwarzacher: A unified theory for some non Newtonian fluids under singular forcing, SIAM J. Math. Anal., (2016), vol. 48, p. 4241–4267. Preprint.
M. Bulicek and S. Schwarzacher: Existence of very weak solutions to elliptic systems of pLaplacian type, Calc. of Var. and PDE, (2016), vol. 55, 14 pp Preprint.
M. Bulicek, L. Diening and S. Schwarzacher: Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems, Analysis and PDE, (2016), vol. 9, p. 1115–1151 Preprint.
J. Frehse, S. Schwarzacher: On regularity of the time derivative for degenerate parabolic systems, SIAM J. Math. Anal., (2015), vol. 47, p.39173943 Preprint.
D. Breit, L. Diening, S. Schwarzacher: Finite element methods for the
p(.)Laplacian, SIAM J. Numer. Anal., (2015), vol. 53, p. 551572 Preprint.
S. Schwarzacher: HölderZygmund Estimates for Parabolic Degenerate Systems. J. Differential Equations, (2014), vol. 256, p. 24232448
Preprint.
D. Breit, L. Diening, S. Schwarzacher: Solenoidal Lipschitz truncation for parabolic PDE's. Math. Models Methods Appl. Sci., (2013), vol. 23, p. 26712700 Preprint.
L. Diening, Ch. Kreuzer, S. Schwarzacher: Convex Hull Property and Maximum Principles for Finite Element Minimizers of General Convex Functionals. Numer. Math. (2013), vol. 124, p. 685700.
Preprint.
L. Diening, P. Kaplicky, S. Schwarzacher:
BMO estimates for the pLaplacian, Nonlinear Anal., (2012), Vol. 75, p. 637650, Preprint.

