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Regularity of weak solutions of the Navier-Stokes equations near the smooth boundary
Any weak solution u of the Navier-Stokes equations in a bounded domain satisfying the Prodi-Serrin's conditions locally near the smooth boundary cannot have singular points there. This local-up-to-the-boundary boundedness of u in sp...
BK - Mechanika tekutin
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by Lp-modulus of smoothness
We prove a sharp estimate for the k-modulus of smoothness, modelled upon a Lp with minimally smooth boundary and finite Lebesgue measure, k,n∈N, k
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Optimal Embeddings of Bessel-Potential-Type Spaces into Generalized Hölder Spaces Involving k-Modulus of Smoothness
potential spaces H? X(IRn) with order of smoothness ? (0, n), modelled upon rearrangement invariant Banach function spaces X(IRn), into generalized Hölder spaces (involving k-modulus of smoothness). We apply our results to...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Compact embeddings of Bessel-Potential-Type spaces into generalized Hölder spaces involving k-modulus of smoothness
function spaces X(IRn ), into generalized Hölder spaces involving k-modulus of smoothness. To this end, we derive a characterization of compact subsets of generalized Hölder spaces. We apply our results to the case when X(...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Optimal embeddings and compact embeddings of Bessel-potential-type spaces
Hölder spaces.To this end, we derive a sharp estimate of modulus of smoothness of Bessel potential spaces H.sigma. X (Rn) with order of smoothness less than one < .sigma. < 1. Second, we characterize compact subsets of gen...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Non-Compact and Sharp Embeddings of Logarithmic Bessel Potential Spaces into Hölder-Type Spaces
In our recent paper [Compact and continuous embeddings of logarithmic Bessel potential spaces. Studia Math. 168 (2005), 229-250] we have proved an embeddings of a logaritmic Bessel potenrial space with order of smoothness .sigma. less than o...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The uniqueness of the solution of a nonlinear heat conduction problem under Hölder’s continuity condition
We investigate a stationary nonlinear heat conduction problem in which heat conductivities depend on temperature. It is known that such problem need not have a unique solution even when the conductivity coefficients are continuous. In this p...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Hölder regularity of solutions to some classes of elliptic systems in convex nonsmooth domains
We prove Hölder continuity up to the boundaryof a convex nonsmooth domain of weak solutions to a class of linear second order elliptic systems with discontinuous coefficients under a suitable condition on the dispersion of eigenvalu...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the Hölder continuity of gradient of solutions to a class of elliptic systems
The interior C^{1,alpha} regularity of weak solutions with BMO gradient of nonlinear nonautonomous second order systems satisfying weak ellipticity condition is investigated....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Global-in-time Hölder continuity of the velocity gradients for fluids with shear dependent viscosities
For an evolutionary nonlinear fluid model characterized by the viscosity being a decreasing function of the modulus of the symmetric velocity gradient we establish the global-in-time existence of the weak solution with the Hölder co...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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