Time regularity of generalized Navier-Stokes equation with p ( x , t ) -power law

Cholmin Sin

Czechoslovak Mathematical Journal (2023)

  • Volume: 73, Issue: 4, page 1017-1056
  • ISSN: 0011-4642

Abstract

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We show time regularity of weak solutions for unsteady motion equations of generalized Newtonian fluids described by p ( x , t ) -power law for p ( x , t ) ≥ ( 3 n + 2 ) / ( n + 2 ) , n ≥ 2 , by using a higher integrability property and fractional difference method. Moreover, as its application we prove that every weak solution to the problem becomes a local in time strong solution and that it is unique.

How to cite

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Sin, Cholmin. "Time regularity of generalized Navier-Stokes equation with $p(x,t)$-power law." Czechoslovak Mathematical Journal 73.4 (2023): 1017-1056. <http://eudml.org/doc/299395>.

@article{Sin2023,
abstract = {We show time regularity of weak solutions for unsteady motion equations of generalized Newtonian fluids described by $p(x,t)$-power law for $p(x,t)\ge (3n+2)/(n+2)$, $n\ge 2,$ by using a higher integrability property and fractional difference method. Moreover, as its application we prove that every weak solution to the problem becomes a local in time strong solution and that it is unique.},
author = {Sin, Cholmin},
journal = {Czechoslovak Mathematical Journal},
keywords = {weak solution; time regularity; generalized Newtonian fluid; variable exponent},
language = {eng},
number = {4},
pages = {1017-1056},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Time regularity of generalized Navier-Stokes equation with $p(x,t)$-power law},
url = {http://eudml.org/doc/299395},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Sin, Cholmin
TI - Time regularity of generalized Navier-Stokes equation with $p(x,t)$-power law
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 4
SP - 1017
EP - 1056
AB - We show time regularity of weak solutions for unsteady motion equations of generalized Newtonian fluids described by $p(x,t)$-power law for $p(x,t)\ge (3n+2)/(n+2)$, $n\ge 2,$ by using a higher integrability property and fractional difference method. Moreover, as its application we prove that every weak solution to the problem becomes a local in time strong solution and that it is unique.
LA - eng
KW - weak solution; time regularity; generalized Newtonian fluid; variable exponent
UR - http://eudml.org/doc/299395
ER -

References

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