| Title:
|
On evolution inequalities of a modified Navier-Stokes type. III (English) |
| Author:
|
Müller, Manfred |
| Author:
|
Naumann, Joachim |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
24 |
| Issue:
|
2 |
| Year:
|
1979 |
| Pages:
|
81-92 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
This is the last from a series of three papers dealing with variational equations of Navier-Stokes type. It is shown that the theoretical results from the preceding parts (existence and regularity of solutions) can be applied to the problem of motion of a fluid through a tube. (English) |
| Keyword:
|
evolution inequalities of a modified Navier-Stokes type |
| Keyword:
|
motion of a fluid through a tube |
| Keyword:
|
boundary conditions |
| Keyword:
|
existence |
| Keyword:
|
uniqueness |
| Keyword:
|
regularity |
| MSC:
|
35A05 |
| MSC:
|
35K22 |
| MSC:
|
35Q10 |
| MSC:
|
35Q30 |
| MSC:
|
76D05 |
| idZBL:
|
Zbl 0452.35101 |
| idMR:
|
MR0523225 |
| DOI:
|
10.21136/AM.1979.103785 |
| . |
| Date available:
|
2008-05-20T18:11:15Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103785 |
| . |
| Reference:
|
[1] Golovkin K. K.: New model equations of the motion of a viscous fluid and their unique solvability.(Russian). Trudy Mat. Inst. Akad. Nauk SSSR, СII (1967), 29-50. MR 0232570 |
| Reference:
|
[2] Kaniel S.: On the initial value problem for an incompressible fluid with nonlinear viscosity.J. Math. Mech., 19 (1970), 681-707. Zbl 0195.10801, MR 0253629 |
| Reference:
|
[3] Ladyshenskaja O. A.: On new equations for describing the motion of viscous, incompressible fluids and the global solvability of their boundary value problems.(Russian). Trudy Mat. Inst. Akad. Nauk SSSR, CII (1967), 85 - 104. |
| Reference:
|
[4] Ladyshenskaja O. A.: On modifications of the Navier-Stokes equations with big gradient of velocity.(Russian). Zap. Nauch. Sem. Leningr. Ot. Mat. Inst., 7 (1968), 126-154. MR 0241832 |
| Reference:
|
[5] Ladyshenskaja O. A.: Mathematical problems in the dynamics of viscous, incompressible fluids.(Russian). 2nd edition, Moscow 1970. |
| Reference:
|
[6] Lions J. L.: Quelques méthodes de résolution des problèmes aux limites non linéaires.Paris 1969. Zbl 0189.40603, MR 0259693 |
| Reference:
|
[7] Müller M., Naumann J.: On evolution inequalities of a modified Navier-Stokes type, I.Apl. Mat. 23 (1978), 208 - 230. MR 0482433 |
| Reference:
|
[8] Müller M., Naumann J.: On evolution inequalities of a modified Navier-Stokes type, II.Apl. Mat. 23 (1978), 397-407, MR 0508544 |
| Reference:
|
[9] Nečas J.: Les méthodes directes en théorie des équations elliptiques.Prague 1967. MR 0227584 |
| Reference:
|
[10] Prouse G.: On a unilateral problem for the Navier-Stokes equations.Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat., (8) 52 (1972); Nota I: 337-342; Nota II: 467-478. Zbl 0253.35067, MR 0342882 |
| Reference:
|
[11] Temam R.: On the theory and numerical analysis of the Navier-Stokes equations.University of Maryland, 1973, Orsay. Zbl 0273.35002 |
| . |
