# On non-homogeneous viscous incompressible fluids. Existence of regular solutions

Commentationes Mathematicae Universitatis Carolinae (1997)

- Volume: 38, Issue: 4, page 697-715
- ISSN: 0010-2628

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topLemoine, Jérôme. "On non-homogeneous viscous incompressible fluids. Existence of regular solutions." Commentationes Mathematicae Universitatis Carolinae 38.4 (1997): 697-715. <http://eudml.org/doc/248065>.

@article{Lemoine1997,

abstract = {We consider the flow of a non-homogeneous viscous incompressible fluid which is known at an initial time. Our purpose is to prove that, when $\Omega $ is smooth enough, there exists a local strong regular solution (which is global for small regular data).},

author = {Lemoine, Jérôme},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {Navier-Stokes equations; non-homogeneous viscous incompressible fluids; existence; local regular solution; regular data; the positiveness of the density},

language = {eng},

number = {4},

pages = {697-715},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {On non-homogeneous viscous incompressible fluids. Existence of regular solutions},

url = {http://eudml.org/doc/248065},

volume = {38},

year = {1997},

}

TY - JOUR

AU - Lemoine, Jérôme

TI - On non-homogeneous viscous incompressible fluids. Existence of regular solutions

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1997

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 38

IS - 4

SP - 697

EP - 715

AB - We consider the flow of a non-homogeneous viscous incompressible fluid which is known at an initial time. Our purpose is to prove that, when $\Omega $ is smooth enough, there exists a local strong regular solution (which is global for small regular data).

LA - eng

KW - Navier-Stokes equations; non-homogeneous viscous incompressible fluids; existence; local regular solution; regular data; the positiveness of the density

UR - http://eudml.org/doc/248065

ER -

## References

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