Ill-posedness for the Navier-Stokes and Euler equations in Besov spaces
Applications of Mathematics (2024)
- Volume: 69, Issue: 6, page 757-767
- ISSN: 0862-7940
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topYu, Yanghai, and Liu, Fang. "Ill-posedness for the Navier-Stokes and Euler equations in Besov spaces." Applications of Mathematics 69.6 (2024): 757-767. <http://eudml.org/doc/299613>.
@article{Yu2024,
abstract = {We construct a new initial data to prove the ill-posedness of both Navier-Stokes and Euler equations in weaker Besov spaces in the sense that the solution maps to these equations starting from $u_0$ are discontinuous at $t = 0$.},
author = {Yu, Yanghai, Liu, Fang},
journal = {Applications of Mathematics},
keywords = {Navier-Stokes equation; Euler equation; ill-posedness; Besov space},
language = {eng},
number = {6},
pages = {757-767},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Ill-posedness for the Navier-Stokes and Euler equations in Besov spaces},
url = {http://eudml.org/doc/299613},
volume = {69},
year = {2024},
}
TY - JOUR
AU - Yu, Yanghai
AU - Liu, Fang
TI - Ill-posedness for the Navier-Stokes and Euler equations in Besov spaces
JO - Applications of Mathematics
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 6
SP - 757
EP - 767
AB - We construct a new initial data to prove the ill-posedness of both Navier-Stokes and Euler equations in weaker Besov spaces in the sense that the solution maps to these equations starting from $u_0$ are discontinuous at $t = 0$.
LA - eng
KW - Navier-Stokes equation; Euler equation; ill-posedness; Besov space
UR - http://eudml.org/doc/299613
ER -
References
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