Universität Freiburg

Prof. Dr. M. Růžička

Publikationen

Artikel

1. Necas J., Ruzicka M.: A dynamic problem of thermoelasticity, ZAA 10 (3) (1991), pp. 357-368.
2. Necas J.: Ruzicka M.: Global solution to the incompressible viscous-multipolar material, J. of Elast., 29 , pp. 175-202.
3. Novotny A., Ruzicka M.: Some qualitative properties of incompressible multipolar materials, Ann. Univ. di Ferrara, Sez. VII, 38 (1992) , pp. 1-24.
4. Ruzicka M.: Mathematical and physical theory of viscoelasticity, BMS 233 (1992), PhD-thesis, Charles University Prague 1991.
5. Malek J., Necas J., Ruzicka M.: On the Non-Newtonian Incompressible Fluids, M3AS 3(1) (1993) , pp. 35-63.
6. Frehse J., Ruzicka M.: On the Regularity of the Stationary Navier-Stokes Equations, Ann. Scuola Norm. Pisa 21 (1994) , pp. 63-95.
7. Frehse J., Ruzicka M.: Weighted Estimates for Stationary Navier-Stokes Equations, Acta Appl. Mathematicae 37 (1994), pp. 53-66.
8. Malek J., Ruzicka M., Thäter, G.: Fractal Dimension, Attractors, and the Boussinesq Approximation in Three Dimensions, Acta Appl. Mathematicae 37 (1994), pp. 83-97.
9. Frehse J., Ruzicka M.: Regularity for the Stationary Navier-Stokes Equations in Bounded Domains, Arch. Rat. Mech. Anal. 128 (4) (1994), pp. 361-381.
10. Frehse J., Ruzicka M.: Existence of Regular Solutions to the Stationary Navier-Stokes Equations, Math. Ann. 302 (1995), pp. 699-717.
11. Frehse J., Ruzicka M.: Regular Solutions to the Steady Navier-Stokes Equations, Proceedings of the 3. International Conference on Navier-Stokes Equations and Related Nonlinear Problems, Madeira 1994, A. Sequeira (ed.), Plenum Press, New York (1995), pp. 131-139.
12. Malek J., Rajagopal K.R., Ruzicka, M.: Existence and Regularity of Solutions and the Stability of the Rest State for Fluids with Shear Dependent Viscosity, M3AS 5 (1995) pp. 789-812.
13. Malek J., Padula M., Ruzicka M.: A note on derivative estimates for a Hopf solution to the Navier-Stokes system in a three-dimensional Cube , Proceedings of the 3. International Conference on Navier-Stokes Equations and Related Nonlinear Problems, Madeira 1994, A. Sequeira (ed.), Plenum Press, New York (1995), pp. 141-146.
14. Necas J., Ruzicka M., Sverak V.: On Leray's self-similar solutions of the Navier-Stokes equations Acta Mat. 176 (1996), pp. 283-294.
15. Necas J., Ruzicka M., Sverak V.: On a remark of J. Leray regarding the const ruction of singular solutions of the Navier-Stokes equations, C. R. Acad. Sci. Paris 323 (1996), pp. 245-249.
16. Rajagopal K.R., Ruzicka M., Srinivasa A.: On the Oberbeck-Boussinesq approximations , M3AS 6 (1996) p. 1157-1167.
17. Rajagopal K.R., Ruzicka M.: On the Modeling of Electrorheological Materials, Mech. Research Comm. 23 (1996), pp. 401-407.
18. Frehse J., Ruzicka M.: Existence of Regular Solutions to the steady Navier-Stokes Equations in Bounded Six-Dimensional Domains, Ann. Scuola Norm. Pisa 23 (1996), pp. 701-719.
19. Frehse J., Ruzicka M.: A new regularity criterion for steady Navier-Stokes equations, Diff. Int. Equ. 11(1998), pp. 361-368, Preprint SFB 256 no. 488 (1995).
20. Ruzicka M.: A Note on Steady Flow of Fluids with Shear Dependent Viscosity Non. Anal. 30 (1997), pp. 3029-3039.
21. Ruzicka M.: Electrorheological Fluids: Modeling and Mathematical Theory Habilitationsschrift Universität Bonn, (1998).
22. Ruzicka M.: Flow of Shear Dependent Electrorheological Fluids: Unsteady Space Periodic Problem, pp. 485-504, Applied Nonlinear Analysis (1999), ed. A. Sequeira, Plenum Press
23. Ruzicka M.: Flow of Shear Dependent Electrorheological Fluids: Fluids,CRAS 329 (1999), pp. 393-398.
24. Kagei Y., Ruzicka M., Thäter G.: Natural Convection with Dissipative Heating, Comm. Math. Phys. 214 (2000), pp. 287-313.
25. Prohl A., Ruzicka M.: On Fully Implicite Space-Time Discretizations for Motions of Incommpressible Fluids with Shear Dependent Viscosities, SIAM J. Num. Anal. 39 (2001), pp. 214-249
26. Rajagopal K.R., Ruzicka M.: Mathematical Modeling of Electrorheological Materials, Cont. Mech. and Thermodyn. 13, pp. 59-78 (2001)
27. Malek J., Necas J., Ruzicka M.: On Weak Solutions to a Class of Non-Newtonian Incompressible Fluids in Bounded Three-dimensional Domains: The Case p > 2, , Adv. Diff. Equ. 6, pp. 257-302 (2001)
28. Pick L., Ruzicka M.: An Example of a Space Lp(x) on which the Hardy-Littlewood Maximal Operator is not Bounded, Exp. Math., (2001), pp.369-371.
29. Ettwein F., Ruzicka M.: Existence of Strong Solutions for Electrorheological Fluids in Two Dimensions , in Geometric Analysis and Nonlinear Partial Diff. Equations, H. Karcher, S. Hildebrandt eds., Springer (2002).
30. Diening L., Prohl A., Ruzicka M.: On Time-Discretizations for Generalized Newtonian Fluids , Nonlinear Problems in Mathematical Physics and Related Topics II, M. Sh. Birman, S. Hildebrandt, V. Solonnikov, N.N. Uraltseva, pp. 89-118, Kluwer/Plenum, New York (2002).
31. Diening L. , Ruzicka M.: Calderon-Zygmund Operators on Generalized Lebesgue Spaces Lp(.) and Problems Related to Fluid Dynamics , J. Reine Ang. Math., 563, pp. 197-220, (2003).
32. Diening L. , Ruzicka M.: Integral Operators on the Halfspace in Generalized Lebesgue Spaces Lp(.), Part I , J. Math. Appl. Anal., 298, 559-571 (2004).
33. Diening L. , Ruzicka M.: Integral Operators on the Halfspace in Generalized Lebesgue Spaces Lp(.), Part II , J. Math. Appl. Anal., 298, 572-588 (2004).
34. Diening L., Ruzicka M.: Strong Solutions for Generalized Newtonian Fluids, J. Math. Fluid Mech., 7, 413-450 (2005)
35. Malek J., Ruzicka M., Shelukhin V.: Herschel-Bulkley Fluids: Existence and Regularity of Steady Flows, M3AS 15, 1845-1861 (2005).
36. Kagei Y., Ruzicka M., Thäter G.: A limit problem in natural convection , NoDEA, 13, 447-467 (2006).
37. Eckart W., Ruzicka M.: Modeling Micropolar Electrorheological Fluids, Int. J. Appl. Mech. Eng. 11, 813-844 (2006).
38. Diening L., Prohl A., Ruzicka M.: Semi Implicit Euler Scheme For Generalized Newtonian Fluids, SINUM 42, 1172-1190 (2006).
39. Diening L., Ruzicka M.: Interpolation Operators in Orlicz-Sobolev Spaces, Num. Math., 107, 107-129 (2007).
40. Diening L., Ebmeyer C., Ruzicka M.: Optimal Convergence for the Implicit Space-Time Discretization of Parabolic Systems with p-Structure, SINUM 45, 457-472 (2007).
41. Ettwein F., Ruzicka M.: Existence of Local Strong Solutions for Motions of Electrorheological Fluids in Three Dimensions, Comp. Appl. Math., 53, 595-604 (2007).
42. Diening L., Ettwein F., Ruzicka M.: C {1,alpha}-regularity for electrorheological fluids in two dimensions, NoDEA 14, 207-217 (2007).
43. Ruzicka M., Diening L.: Non-Newtonian Fluids and Function Spaces , Proceedings of NAFSA 2006, Prague, 8, 95-144 (2007).
44. Frehse J., Ruzicka M.: Non-Homogeneous Generalized Newtonian Fluids, Math. Zeit., 260, 355-375 (2007).
45. Berselli L.C., Diening L., Ruzicka M.: Existence of Strong Solutions for Incompressible Fluids with Shear Dependent Viscosities, J. Math. Fluid Mech., Online First, (2008).
46. Passerini A., Ruzicka M., Thäter G.: Natural convection between two horizontal coaxial cylinders, ZAMM, 89, 399-413, (2009).
47. Frehse J., Ruzicka M.: Existence of a Regular Periodic Solution to the Rothe-Approximation of the Navier-Stokes Equations in Arbitrary Dimension, New Directions in Mathematical Fluid Mechanics (A.V. Fursikov, G.P. Galdi, and V.V. Pukhnachev, eds.), Birkhäuser, (2009), pp.~181-192.
48. Berselli L.C., Diening L., Ruzicka M.: Optimal Estimates for a Semi Implicit Euler Scheme for Incompressible Fluids with Shear Dependent Viscosities, SINUM, 47, (2009), 2177-2202.
49. Diening L., Ruzicka M., Schumacher K.: A Decomposition Technique for John Domains, Ann. Acad. Sci. Fenn. Ser. A. I. Math., 35, (2010), 87-114.
50. Diening L., Ruzicka M., Wolf J.: Existence of weak solutions to the equations of unsteady motion of generalized Newtonian fluids: Lipschitz truncation method, Ann. Scuola Norm. Sup. Pisa, IX, (2010), 1-46.
51. Diening L., Ruzicka M.: An existence result for Non-Newtonian fluids in non-regular domains, Disc. Cont. Dyn. Syst. Series S, 3, (2010), 255-268.
52. Beirão da Veiga H., Kaplicky P., Ruzicka M.: Boundary regularity of shear-thickening flows, CRAS, (2010), to appear.
53. Beirão da Veiga H., Kaplicky P., Ruzicka M.: Boundary regularity of shear-thickening flows, JMFM (2010), accepted.
54. Frehse J., Malek J., Ruzicka M.: Large data existence result for unsteady flows of inhomogeneous heat-conducting incompressible fluids, Com. in Part. Diff. Eq. (2010), accepted.
55. Novotny A., Ruzicka M., Thäter G.: Rigorous derivation of the anelastic approximation to the Oberbeck-Boussinesq equations, Asymp. Anal. (2010), submitted.
56. Novotny A., Ruzicka M., Thäter G.: Singular limit of the equations of magnetohydrodynamics in the presence of strong stratification, Com. Var. Ell. Equ. (2010), submitted.
57. Passerini A., Ruzicka M., Thäter G.: Theoretical results on steady convective flows between horizontal coaxial cylinders, SIAM J. Appl. Math. (2010), submitted.
58. Diening L., Lengeler D., Ruzicka M.: The Stokes and Poisson Problem in Variable Exponent Spaces, Com. Var. Ell. Equ. (2010), accepted.
59. Kagei Y., Ruzicka M.: The Boussinesq Approximation as a Constitutive Limit , (2010), in preparation.
60. Belenki L., Berselli L., Diening L., Ruzicka M.: On the Finite Element Approximation of p-Stokes Systems, (2010), submitted.
61. Novotny A., Ruzicka M., Thäter G.: Singular limit of the equations of magnetohydrodynamics in the presence of strong stratification, (2010), M3AS.

Übersichtsartikel
62. Ruzicka M.: Multipolar materials, BMS 239 (1993), Workshop on the Mathematical Theory of Nonlinear and Inelastic Material Behavior, pp. 53-64.
63. Frehse J., Ruzicka M.: Weighted estimates for the stationary Navier-Stokes equations, Mathematical Theory in Fluid Mechanics (1996), G.P. Galdi, J. Malek, J. Necas (eds.), pp. 1-29.
64. Ruzicka M., Frehse J.: Regularity for Steady Solutions of the Navier-Stokes Equations , Theory of the Navier-Stokes Equations (1998), J. Heywood, K. Masuda, R. Rautmann, V.A. Solonnikov (eds.), World Scientific, pp. 159-178.
65. Ruzicka M.: Electrorheological Fluids: Modeling and Mathematical Theory , Surikaisekikenkyusho Kokyuroku 1146 (2000), RIMS Kyoto University, preprint 13/2000 University Feiburg.
66. Ruzicka M.: Modeling, Mathematical and Numerical Analysis of Electrorheological Fluids, Applications of Mathematics , 49, 565-609 (2004).

Bücher
67. Malek J., Necas J., Rokyta M., Ruzicka M.: Weak and Young measure valued solution to evolutionary partial differential equations (1996) Applied Mathematics and Mathematical Computation 13, Chapman and Hall.
68. Ruzicka M.: Electrorheological Fluids: Modeling and Mathematical Theory (2000), Lecture Notes in Mathematics 1748 , Springer.
69. Ruzicka M.: Nichtlineare Funktionalanalysis, Eine Einführung , Springer, (2004).
70. Diening L., Harjulehto P., Hästö P., Ruzicka M.: Lebesgue and Sobolev spaces with variable exponents , Springer, (2010), to appear.

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