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

Abstract

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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.

How to cite

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Müller, 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

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

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