A note on the generalized energy inequality in the Navier-Stokes equations
Applications of Mathematics (2003)
- Volume: 48, Issue: 6, page 537-545
- ISSN: 0862-7940
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topKučera, Petr, and Skalák, Zdeněk. "A note on the generalized energy inequality in the Navier-Stokes equations." Applications of Mathematics 48.6 (2003): 537-545. <http://eudml.org/doc/33166>.
@article{Kučera2003,
abstract = {We prove that there exists a suitable weak solution of the Navier-Stokes equation, which satisfies the generalized energy inequality for every nonnegative test function. This improves the famous result on existence of a suitable weak solution which satisfies this inequality for smooth nonnegative test functions with compact support in the space-time.},
author = {Kučera, Petr, Skalák, Zdeněk},
journal = {Applications of Mathematics},
keywords = {Navier-Stokes equations; suitable weak solution; generalized energy inequality; Navier-Stokes equations; suitable weak solution; generalized energy inequality},
language = {eng},
number = {6},
pages = {537-545},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on the generalized energy inequality in the Navier-Stokes equations},
url = {http://eudml.org/doc/33166},
volume = {48},
year = {2003},
}
TY - JOUR
AU - Kučera, Petr
AU - Skalák, Zdeněk
TI - A note on the generalized energy inequality in the Navier-Stokes equations
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 6
SP - 537
EP - 545
AB - We prove that there exists a suitable weak solution of the Navier-Stokes equation, which satisfies the generalized energy inequality for every nonnegative test function. This improves the famous result on existence of a suitable weak solution which satisfies this inequality for smooth nonnegative test functions with compact support in the space-time.
LA - eng
KW - Navier-Stokes equations; suitable weak solution; generalized energy inequality; Navier-Stokes equations; suitable weak solution; generalized energy inequality
UR - http://eudml.org/doc/33166
ER -
References
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