| Title:
|
Remark on cavitation solutions of stationary compressible Navier-Stokes equations in one dimension (English) |
| Author:
|
Lovicar, Vladimír |
| Author:
|
Straškraba, Ivan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
4 |
| Year:
|
1991 |
| Pages:
|
653-662 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35Q30 |
| MSC:
|
76D05 |
| MSC:
|
76N10 |
| idZBL:
|
Zbl 0763.35074 |
| idMR:
|
MR1134955 |
| DOI:
|
10.21136/CMJ.1991.102497 |
| . |
| Date available:
|
2008-06-09T15:42:16Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102497 |
| . |
| Reference:
|
[1] Antoncev S. N., Kažichov A. V., Monachov V. N.: Boundary value problems of the mechanics of inhomogeneous fluids.Novosibirsk: Izdatel. ,,Nauka" Sibirsk. Otdel. (1983), (Russian). |
| Reference:
|
[2] Beirâo da Veiga H.: An $L^p$-theory for the n-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions.Commun. Math. Phys., 109 (1987), 229-248. MR 0880415, 10.1007/BF01215222 |
| Reference:
|
[3] Beirâo da Veiga H.: Long time behavior for one dimensional motion of a general barotropic viscous fluid.Quaderni dell'Istituto di Matematiche Applicate ,,U. Dini" (1988/7), Facoltà di Ingegneria - Università di Pisa. |
| Reference:
|
[4] Beirâo da Veiga H.: The stability of one dimensional stationary flows of compressible viscous fluids.Quaderni dell'Istituto di Matematiche Applicate ,,U. Dini" (1988/9), Facoltà di Ingegneria - Università di Pisa. |
| Reference:
|
[5] Kažichov A. V.: Correctness "in the large" of mixed boundary value problems for a model system of equations of a viscous gas.Din. Splošnoj Sredy, 21 (1975), 18-27, (Russian). MR 0478984 |
| Reference:
|
[6] Kažichov A. V.: Stabilization of solutions of an initial-boundary-value problem for the equations of motion of a barotropic viscous fluid.Dif. Urav. 15 (1979), 662-667, (Russian) = Dif. Eqs. 15, 463-467 (1979). MR 0534027 |
| Reference:
|
[7] Kažichov A. V., Petrov A. N.: Correctness of the initial-boundary value problem for a model system of equation of multicomponent mixture.Dinamičeskije zadači mechaniki splošnych sred 35, (1978), 62-73, Sibirsk. Otdel. Inst. Gidrodinamiki (Russian). |
| Reference:
|
[8] Lovicar V., Straškraba I., Valli A.: On bounded solutions of one-dimensional compressible Navier-Stokes equations.Preprint No. 42, Math. Inst. Czech. Acad. Sci. (MÚ ČSAV) (1989). MR 1066431 |
| Reference:
|
[9] Solonnikov V. A., Kažichov A. V.: Existence theorems for the equations of motion of a compressible viscous fluid.Annu. Rev. Fluid Mech. 13 (1981), 79-95. 10.1146/annurev.fl.13.010181.000455 |
| Reference:
|
[10] Straškraba I., Valli A.: Asymptotic behaviour of the density for one-dimensional Navier-Stokes equations.Manuscripta Math. 62 (1988), 401 - 416. MR 0971685, 10.1007/BF01357718 |
| Reference:
|
[11] Šeluchin V. V.: Uniqueness solubility of the problem of piston motion in a viscous gas.Dinamika splošnoj sredy 31, (1977), 132/150. Sibirsk. Otdel. Gidrodinamiki (Russian). |
| Reference:
|
[12] Šeluchin V. V.: Stabilization of solutions to a model problem for piston motion in a viscous gas.Někotoryje problemy matematiki i mechaniki 33, (1978), 134-146, Sibirsk. Otdel. Inst. Gidrodinamiki (Russian). |
| Reference:
|
[13] Šeluchin V. V.: Periodic flows of a viscous gas.Dinamika neodnorodnoj židkosti 42 (1979), 80-102, Sibirsk. Otdel. Inst. Gidrodinamiki (Russian). MR 0602221 |
| Reference:
|
[14] Šeluchin V. V.: Bounded, almost-periodic solutions of a viscous gas equation.Din. splošnoj sredy 44 (1980), 147-163, (Russian). MR 0639194 |
| Reference:
|
[15] Valli A.: Periodic and stationary solution for compressible Navier-Stokes equations via a stability method.Ann. Sc. Norm. Super. Pisa, C1. Sci., (4) 10 (1938), 607-647. MR 0753158 |
| . |
