[1] Galdi G P. An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Vol. I. Linearized Steady Problems. Springer Tracts in Natural Philosophy, 38. New York:Springer, 1994
[2] Galdi G P. An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Vol. Ⅱ. Nonlinear Steady Problems. Springer Tracts in Natural Philosophy, 39. New York:Springer, 1994
[3] Hoff D. Spherically symmetric solutions of the Navier-Stokes equations for compressible, isothermal flow with large, discontinuous initial data. Indiana Univ Math J, 1992, 41:1225-1302
[4] Hoff D. Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data. Arch Rational Mech Anal, 1995, 132:1-14
[5] Ladyzhenskaya O A. The mathematical theory of viscous incompressible flow, mathematics and its applications, Vol. 2, Second English Edition, Revised and Enlarged//Translated from the Russian by Richard A. Silverman and John Chu. New York, London, Paris:Gordon and Breach, Science Publishers, 1969
[6] Lions P L. Mathematical topics in Fluid Dynamics, Vol. 1, Incompressible Models. Oxford Lecture Series in Mathematics and its Applications, 3. Oxford Science Publications. New York:The Clarendon Press, Oxford University Press, 1996
[7] Lions P L. Mathematical Topics in Fluid Dynamics, Vol. 2, Compressible Models. Oxford Lecture Series in Mathematics and its Applications, 10. Oxford Science Publications. New York:The Clarendon Press, Oxford University Press, 1998
[8] Schowalter W R. Mechanics of non-Newtonian Fluids. New York:Pergamon Press, 1978
[9] Truesdell C, Rajagopal K R. An Introduction to the Mechanics of Fluids. Modeling and Simulation in Science, Engineering and Technology. Boston, MA:Birkhäuser Boston, Inc, 2000
[10] Lions J L. Quelques Méthodes de Résolution des Problèmes Aux Limites non Linéaires. Paris:Dunod, Gauthier-Villars, 1969
[11] Diening L, Růžička M, Wolf J. Existence of weak solutions for unsteady motions of generalized Newtonian fluids. Ann Sc Norm Super Pisa Cl Sci (5), 2010, 9:1-46
[12] Bulíček M, Gwiazda P, Málek J, Świerczewska A. On unsteady flows of implicitly constituted incompressible fluids. SIAM J Math Anal, 2012, 44:2756-2801
[13] Guo S S, Tan Z. Large-time behavior of solutions to a class of non-Newtonian compressible fluids. Nonl Differ Equ Appl, 2017, 24:1-18
[14] Málck J, Nečas J, Můžička M. On weak solutions to a class of non-Newtonian incompressible fluids in bounded domains:the case p ≥ 2. Adv Differ Equ, 2001, 6:257-302
[15] Wolf J. Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rare dependent viscosity. J Math Fluid Mech, 2007, 9:104-138
[16] Feireisl E, Liao X, Málek J. Global weak solutions to a class of non-Newtonian compressible fluids. Math Meth Appl Sci, 2015, 38:3482-3494
[17] Feireisl E, Petzeltová H. On Integrability up to the boundary of the weak solutions of the Navier-Stokes equations of compressible flow. Comm Partial Differ Equ, 2000, 25:755-767
[18] Feireisl E. Dynamics of Viscous Compressible Fluids. Volume 26 of Oxford Lecture Series in Mathematics and its Applications. Oxford:Oxford University Press, 2004
[19] Bogovskiî M E. Solutions of some problems of vector analysis, associated with the operators div and grad (Russian). Theory of cubature formulas and the application of functional analysis to problems of mathematical physics. Trudy Sem S L Soboleva, 1980, 80:5-40
[20] Borchers W, Sohr H. On the equation rotv=g and divu=f with zero boundary conditions. Hokkaido Math J, 1990, 19:67-87
[21] Fang L, Li Z L. On the existence of local classical solution for a class of one dimensional compressible non-Newtonian fluids. Acta Math Sci, 2015, 35B(1):157-181 |
