@article{M2AN_2000__34_5_923_0,
author = {Matu\v{S}\r{u}-Ne\v{c}asov\'a, \v{S}\'arka and Medvidov\'a-Luk\'a\v{c}ov\'a, M\'aria},
title = {Bipolar barotropic non-newtonian compressible fluids},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {923--934},
publisher = {Dunod},
address = {Paris},
volume = {34},
number = {5},
year = {2000},
mrnumber = {1837761},
zbl = {0992.76010},
language = {en},
url = {http://www.numdam.org/item/M2AN_2000__34_5_923_0/}
}
TY - JOUR AU - MatuŠů-Nečasová, Šárka AU - Medvidová-Lukáčová, Mária TI - Bipolar barotropic non-newtonian compressible fluids JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2000 SP - 923 EP - 934 VL - 34 IS - 5 PB - Dunod PP - Paris UR - http://www.numdam.org/item/M2AN_2000__34_5_923_0/ LA - en ID - M2AN_2000__34_5_923_0 ER -
%0 Journal Article %A MatuŠů-Nečasová, Šárka %A Medvidová-Lukáčová, Mária %T Bipolar barotropic non-newtonian compressible fluids %J ESAIM: Modélisation mathématique et analyse numérique %D 2000 %P 923-934 %V 34 %N 5 %I Dunod %C Paris %U http://www.numdam.org/item/M2AN_2000__34_5_923_0/ %G en %F M2AN_2000__34_5_923_0
MatuŠů-Nečasová, Šárka; Medvidová-Lukáčová, Mária. Bipolar barotropic non-newtonian compressible fluids. ESAIM: Modélisation mathématique et analyse numérique, Tome 34 (2000) no. 5, pp. 923-934. http://www.numdam.org/item/M2AN_2000__34_5_923_0/
[1] and , On a class of fluids of grade 3, Laboratoire d'analyse numérique de l'université Pierre et Marie Curie, rapport 88006 (1988). | Zbl
[2] , Sur une classe de fluides non newtoniens : les solutions aqueuses de polymère, Quart. Appl. Math. L(4) (1992) 779-791. | MR | Zbl
[3] , and , Young measure-valued solutions for non-Newtonian incompressible fluids. Commun Partial Differential Equations 19 (1994) 1763-1803. | MR | Zbl
[4] , An Lp - theory for the n-dimensional stationary compressible Navier-Stokes equations and the incompressible limit for compressible fluids. The equilibrium solutions Comm. Math. Phys. 109 (1987) 229-248. | MR | Zbl
[5] and , Existence and uniqueness for fluids of second grade Collège de France Seminars, Pitman Res Notes Math. Ser. 109 (1984) 178-197. | MR | Zbl
[6] and , On the steady state solutions to the Navier-Stokes equations of compressible flow. Manuscripta Math. 97 (1998) 109-116. | MR | Zbl
[7] and , The zero - velocity limit solutions of the Navier-Stokes equations of compressible fluid revisited, in Proc. of Navier-Stokes equations and the Related Problem, (1999) | MR | Zbl
[8] , Mathematical theory of second grade fluids, Stability and Wave Propagation in Fluids, G.P. Galdi Ed., CISM Course and Lectures 344, Springer, New York (1995) 66-103. | MR | Zbl
[9] and , Further existence results for classical solutions of the equations of a second grade fluid. Arch. Ration. Mech. Anal. 28 (1994) 297-321. | MR | Zbl
[10] , Fluid Dynamics of Viscoelastic Liquids. Springer Verlag, New York (1990). | MR | Zbl
[11] , , and , Weak and Measure-valued solutions to evolutionary partial differential equations. Chapman and Hall (1996). | Zbl
[12] , Global solvability of the multidimensional Navier-Stokes equations of a compressible fluid with nonlinear viscosity. I Siberian Math. J. 40 (1999) 351-362. | MR | Zbl
[13] , Global solvability of the multidimensional Navier-Stokes equations of a compressible fluid with nonlinear viscosity II. Siberian Math. J. 40 (1999) 541-555 | MR | Zbl
[14] and , Bipolar barotropic nonnewtonian fluid. Comment. Math. Univ. Carolin 35 (1994) 467-483. | EuDML | MR | Zbl
[15] , and , Existence of Classical solutions for compressible viscoelastic fluids of Oldroyd type past an obstacle. Math. Methods Appl. Sci. 22 (1999) 449-460. | MR | Zbl
[16] and , Bipolar Isothermal non-Newtonian compressible fluids. J. Math. Anal. Appl. 225 (1998) 168-192. | MR | Zbl
[17] and , Multipolar viscous fluids. Quart. Appl. Math. XLIX (1991) 247-266 | MR | Zbl
[18] , and , Global solutions to the viscous compressible barotropic multipolar gas. Theoret Comp. Fluid Dynamics 4 (1992) 1-11. | Zbl
[19] , Theory of multipolar viscous fluids, in The Mathematics of Finite Elements and Applications VII MAFELAP 1990, J.R. Whitemann Ed., Academic Press, New York (1991) 233-244. | MR | Zbl
[20] , A semigroup generated by the linearized Navier-Stokes equations for compressible fluid and its uniform growth bound in Hölder spaces, in Proc. of the International Conference on the Navier-Stokes equations, Theory and Numerical Methods, Varenna, June 1997, R. Salvi Ed, Pitman Res. Notes Math. Ser. 388 (1998) 86-100. | MR | Zbl
[21] , The global existence of solutions to the equations of motion of a viscous gas with an artificial viscosity. Math. Methods. Appl. Sci. 14 (1991) 93-119. | MR | Zbl
[22] , On the formulation of rheological equations of state. Proc. Roy. Soc. London A200 (1950) 523-541. | MR | Zbl
[23] , Mechanics of non-Newtonian fluids, in Recent Developments in Theoretical Fluid Mechanics Series 291, Longman Scientific & Technical Reports (1993). | MR | Zbl
[24] , and , Mathematical problems in Viscoelasticity, Longman, New York (1987). | MR | Zbl
[25] and , Global existence for viscous compressible fluids and their behaviour as t → ∞. J. Faculty Sci. Univ. Tokyo, Sect. I, A40 (1993) 17-51. | MR | Zbl
[26] , Mechanics of Non-Newtonian Fluids. Pergamon Press, New York (1978).
[27] , Contributions à l'étude mathématique des problèmes issus de la mécanique des fluides viscoélastiques. Lois de comportement de type intégral ou différentiel. Thèse d'université de Paris-Sud, Orsay (1996).
[28] and , The Nonlinear Field Theories of Mechanics, 2nd edn. Springer, Berlin (1992). | MR | Zbl
