Keywords:
- $C^{1
- Classical Solution
- exponential attractor
- fractal dimension
- generalized viscosity
- global attractor
- gradient estimates
- Kelvin-Voigt model
- Large-data and Long-time
- non-diagonal elliptic systems
- non-Newtonian fluid
- non-Newtonian fluids
- non-Uhlenbeck systems
- regularity
- splitting condition
- steady $p$-Navier--Stokes system
- Stokes-Fourier system
- synovial fluid
- temperature dependent viscosity
- time regularity
- uniqueness
- variable exponent
- \alpha}$ regularity
Publications of Kaplický, Petr
2019
| , and , Finitely additive measures and complementability of Lipschitz-free spaces (2019), in: Israel Journal of Mathematics, 230:1(409–442) |
[DOI] |
| , and , On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index (2019), in: J. Math. Fluid Mech., 21:1(Art. 15, 22 pp.) |
[DOI] |
2018
| , , and , Gradient $L^q$ theory for a class of non-diagonal nonlinear elliptic systems (2018), in: Nonlinear Analysis, 171(156--169) |
[DOI] |
2017
| , and , Homogenization of a stationary flow of an electrorheological fluid (2017), in: Annali di Matematica Pura ed Applicata, 196:3(1185--1202) |
[DOI] |
| , and , Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces (2017), in: Mathematika, 63(538–552) |
[DOI] [URL] |
2016
2013
| , and , On existence of a classical solution to a generalized Kelvin-Voigt model (2013), in: Pacific J. of Math., 262:1(11--33) |
[DOI] |
2012
| and , Boundary Regularity of Flows under Perfect Slip Boundary Conditions (2012), in: preprint |
2011
| , and , An $L^2$-maximal regularity result for the evolutionary Stokes-Fourier system (2011), in: Applicable Analysis, 90:1(31--45) |
[DOI] [URL] |
2010
| , , and , On uniqueness and time regularity of flows of power-law like non-Newtonian fluids (2010), in: Mathematical Methods in the Applied Sciences, 33:16(1995-2010) |
[DOI] [URL] |
2009
| , , and , The dimension of the attractor for the 3D flow of a non-Newtonian fluid (2009), in: Communications on Pure and Applied Analysis, 8:5(1503--1520) |
[DOI] [URL] |
2008
| and , Incompressible fluids with shear rate and pressure dependent viscosity: regularity of steady planar flows (2008), in: Discrete and Continuous Dynamical Systems - Series S, 1:1(41--50) |
[DOI] [URL] |