# On evolution inequalities of a modified Navier-Stokes type. II

Manfred Müller; Joachim Naumann

Aplikace matematiky (1978)

- Volume: 23, Issue: 6, page 397-407
- ISSN: 0862-7940

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topMüller, Manfred, and Naumann, Joachim. "On evolution inequalities of a modified Navier-Stokes type. II." Aplikace matematiky 23.6 (1978): 397-407. <http://eudml.org/doc/15070>.

@article{Müller1978,

abstract = {The present part of the paper continues the study of the abstract evolution inequality from the first part. Theorem 1 states the existence and uniqueness of a weak solution to the evolution inequality under consideration. The proof is based on the method of approximation of the weak solution by a sequence of strong solutions. Theorem 2 yields two regularity results for the strong solution.},

author = {Müller, Manfred, Naumann, Joachim},

journal = {Aplikace matematiky},

keywords = {evolution inequalities of a modified Navier-Stokes type; evolution problem; evolution inequalities of a modified Navier-Stokes type; evolution problem},

language = {eng},

number = {6},

pages = {397-407},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On evolution inequalities of a modified Navier-Stokes type. II},

url = {http://eudml.org/doc/15070},

volume = {23},

year = {1978},

}

TY - JOUR

AU - Müller, Manfred

AU - Naumann, Joachim

TI - On evolution inequalities of a modified Navier-Stokes type. II

JO - Aplikace matematiky

PY - 1978

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 23

IS - 6

SP - 397

EP - 407

AB - The present part of the paper continues the study of the abstract evolution inequality from the first part. Theorem 1 states the existence and uniqueness of a weak solution to the evolution inequality under consideration. The proof is based on the method of approximation of the weak solution by a sequence of strong solutions. Theorem 2 yields two regularity results for the strong solution.

LA - eng

KW - evolution inequalities of a modified Navier-Stokes type; evolution problem; evolution inequalities of a modified Navier-Stokes type; evolution problem

UR - http://eudml.org/doc/15070

ER -

## References

top- Brézis H., Problèmes unilatéraux, J. Math. Pures Appl., 51 (1972), 1-168. (1972) Zbl0237.35001MR0428137
- Brézis H., Opérateurs maximaux monotones et semigroupes de contractions dans les espaces de Hilbert, Math. Studies 5, North Holland, 1973. (1973) Zbl0252.47055
- Gröger K., 10.1002/mana.19750670104, Math. Nachr. 67 (1975), 21-34. (1975) Zbl0339.34061MR0513163DOI10.1002/mana.19750670104
- Müller M., Naumann J., On evolution inequalities of a modified Navier-Stokes type, I, Apl. Mat. 23 (1978), 174-184. (1978) Zbl0424.35072MR0482433

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