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The application of anisotropic Troisi inequalities to the conditional regularity for the Navier-Stokes equations
our results in the frame of the anisotropic Lebesgue spaces we improve two recentWe derive various anisotropic versions of the Troisi inequality for the study of the conditional regularity of solutions to the Navi...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Regularity criteria of the incompressible Navier-Stokes equations via only one entry of velocity gradient
with respect to time and space variables in anisotropic Lebesgue spaces, then a Leray-Hopf weak solution isactually regular. The anisotropic Lebesgue space helps us to almost......
Fluids and plasma physics (including surface physics)
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Regularity criteria for the Navier–Stokes equations based on one component of velocity
We study the regularity criteria for the incompressible Navier–Stokes equations in the whole space R3R3 based on one velocity component, namely u3u3, ∇u3∇u3 and ∇2u3∇2u3. We use a generalization of the Troisi inequality and anisotropic
Fluids and plasma physics (including surface physics)
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On extrapolation blowups in the $L_p$ scale
The paper generalizes Yano´s extrapolation theorem to the setup of general Lebesgue spaces. The solution to the extrapolation problem is given in terms of Lebesgue, small Lebesgue and logarithmic Lebesgue ...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Characterization of interpolation between Grand, small or classical Lebesgue spaces
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are so called Lorentz–Zygmund spaces or more generally GΓ-spaces. As a direct consequence of our results any Lorentz–Z...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Norms supporting the Lebesgue differentiation theorem
A version of the Lebesgue differentiation theorem is offered, where the L-p norm is replaced with any rearrangement-invariant norm. Necessary and sufficient conditions for a norm of this kind to support the Lebesgue differentiation ...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Moser-Trudinger inequality in grand Lebesgue space
We obtain sharp constants concerning the Moser-Trudinger inequality for a Sobolev-type space built on the grand Lebesgue space......
BA - Obecná matematika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Convex locally compact extensions of Lebesgue spaces and their applications
Convex locally compact extensions of Lebesgue spaces and their applications...
BA - Obecná matematika
- 1999 •
- D
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D - Stať ve sborníku
Estimates for imaginary powers of the Laplace operator in variable Lebesgue spaces and applications
In this paper we study some estimates of norms in variable exponent Lebesgue spaces for singular integral operators that are imaginary powers of the Laplace operator in $R^n$. Using the Mellin transform argument, from these estimate...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Boundedness of the Boltzmann Gain Collision Operators in Lebesgue Spaces
Boundedness of linear and nonlinear Boltzmann gain collision operators is established in weighted Lebesgue spaces for a class of collision models including rigid spheres and interaction potentials with angular cutt-off......
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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