| Title:
|
On evolution inequalities of a modified Navier-Stokes type. II (English) |
| Author:
|
Müller, Manfred |
| Author:
|
Naumann, Joachim |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
23 |
| Issue:
|
6 |
| Year:
|
1978 |
| Pages:
|
397-407 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
evolution inequalities of a modified Navier-Stokes type |
| Keyword:
|
evolution problem |
| MSC:
|
35A05 |
| MSC:
|
35Q10 |
| MSC:
|
35Q30 |
| MSC:
|
47H15 |
| MSC:
|
76D05 |
| idZBL:
|
Zbl 0452.35100 |
| idMR:
|
MR0508544 |
| DOI:
|
10.21136/AM.1978.103768 |
| . |
| Date available:
|
2008-05-20T18:10:31Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103768 |
| . |
| Reference:
|
[1] Brézis H.: Problèmes unilatéraux.J. Math. Pures Appl., 51 (1972), 1-168. MR 0428137 |
| Reference:
|
[2] Brézis H.: Opérateurs maximaux monotones et semigroupes de contractions dans les espaces de Hilbert.Math. Studies 5, North Holland, 1973. |
| Reference:
|
[3] Gröger K.: Regularitätsaussagen für Evolutionsgleichungen mit stark monotonen Operatoren.Math. Nachr. 67 (1975), 21-34. MR 0513163, 10.1002/mana.19750670104 |
| Reference:
|
[4] Müller M., Naumann J.: On evolution inequalities of a modified Navier-Stokes type, I.Apl. Mat. 23 (1978), 174-184. MR 0482433 |
| . |
