Diploma thesis - Dissertation thesis - Habilitation thesis:

  Scientific  publications:
  1. (with F.-K. Hebeker, M. Specovius) Über die Hölderstetigkeit der direkten Werte der Tangentialableitungen
    Stokesscher Einfachschichtpotentiale. Z.A.M.M. 64 (1984) T362-T364
  2. (with R. Rautmann) Die Navier-Stokessche Anfangsrandwertaufgabe mit einer Differenzennäherung. 
    Z. A. M. M. 65 (1985) T360-T362
  3. Ein neues Verfahren zur numerischen Berechnung dreidimensionaler Navier-Stokes Strömungen.
    Z. A. M. M. 67 (1987) T337-T339
  4. Energy conserving Lagrangian approximation for the equations of Navier-Stokes.
    J. Diff. Equa. 76 No. 2 (1988) 256-268
  5. Zur Randelementemethode für dreidimensionale Strömungen im Bereich kleiner und großer Reynoldszahlen.
    Z. A. M. M. 68 (1988) T482-T483
  6. Efficient quadrature for a boundary element method to compute three-dimensional Stokes flow.
    Int. J. Numer. Meth. Fluids 9 (1989) 185-191
  7. (with H. Sohr) On decay properties of the Stokes equations in exterior domains.
    Springer Lect. N. Math. 1431 (1990) 134-151
  8. The Poisson equation in Beppo Levi spaces.
    Preprint 1319 TU Darmstadt (1990) 1-11
  9. An explicit potential theory for the Stokes resolvent boundary value problems in three dimensions.
    Manuscripta Math. 70 (1991) 339-361
  10. Zur Konstruktion einer numerischen Lösung der Anfangsrandwertaufgabe für die nichtlinearen Gleichungen
    von Navier-Stokes. Analysis 11 (1991) 191-207
  11. The Poisson equation with weights in exterior domains of  Rn.
    Applic. Anal. 43 (1992) 135 -145
  12. Time stepping procedures for the nonstationary Stokes equations.
    Math. Meth. Appl. Sci.15 (1992) 39-55
  13. (with P. Deuring) On strong solutions of Poisson's equation in Beppo Levi spaces.
    J. Appl. Math. Phys. (Z. A. M. P.) 43 (1992) 1023-1037
  14. (with P. Deuring) Schauder estimates for the single layer potential in hydrodynamics.
    Math. Nachr. 157 (1992) 277-289
  15. Time delay and finite differences for the nonstationary nonlinear Navier-Stokes equations.
    Math. Meth. Appl. Sci. 15 (1992) 89-108
  16. A particle method for the steady state Navier-Stokes equations.
    In: Proc. Int. Sem. "Euler and Navier-Stokes Equations", Inst. Thermomech. Prague (1992) 49-51
  17. Stationary incompressible flow and the method of characteristics.
    Z. A. M. M. 72 (1992) T602-T604
  18. A fractional step method for regularized Navier-Stokes equations.
    Springer Lect. N. Math. 1530 (1992) 196-209
  19. On Eulerian and Lagrangian representation of steady incompressible fluid flow.
    Nonlin.Anal. 20 (1993) 993-1000
  20. (with W. Borchers) On the boundedness of the Stokes semigroup in two-dimensional
    exterior domains. Math. Z. 213 (1993) 275-300
  21. (with O. Meister) Räumliche Diskretisierung mit Hilfe baryzentrischer Koordinaten
    für partielle Differentialgleichungen in konservativer Form. Z. A. M. M. 73 (1993) T724-T727
  22. (with W. Borchers) Die Stokes-Resolvente in Außengebieten des IR2.
    Z. A. M. M. 73 (1993) T849-T852
  23. Finite differences and boundary element methods for nonstationary viscous incompressible flow.
    Banach Center Publ. 29, Warsawa (1994) 135-154
  24. Solutions in Lebesgue spaces to the stationary Stokes equations in unbounded open sets of  IRn.
    Adv. Math. Sci. Appl. 4 (1994) 191-208
  25. The Stokes equations. Mathematical Research 76,
    Akademie Verlag Berlin 1994
  26. On Strong Solutions of the Stokes Equations in Exterior Domains.
    Acta Applic. Math. 37 (1994) 205-214
  27. The boundary value problems for the Stokes resolvent equations in IR2.
    Meth. u. Verf. d. Mathem. Phys. 40, Peter Lang Verlag Bern (1995) 169-188
  28. Boundary integral equations for the Stokes problem in exterior domains of IRn.
    In: Navier-Stokes Equations and Related Nonlinear Problems, Plenum Press, New York (1995) 117-127
  29. Boundary value problems and integral equations for the Stokes resolvent in bounded and
    exterior domains of  IRn. World Scientific Publishing, New York (1998) 206-224
  30. (with M. Peter) The maximum modulus theorem for the Stokes System.
    In: Proc. 4. Intern. Sem. "Euler and Navier-Stokes Equations", Inst. Thermomech. Prague (2001) 109-112
  31. (with M. Peter) Maximalbetragsabschätzungen für die Gleichungen von Stokes.
    P. A. M. M. 1 (2002) 416-417
  32. The boundary value problems of the Stokes resolvent equations in n dimensions.
    Math. Nachr. 269-270 (2004) 210-230
  33. (with T. Samrowski) The Poisson equation in homogeneous Sobolev spaces.
    Int. J. of Math. and Math. Sci. 36 (2004) 1909-1921
  34. Numerical methods for the Navier-Stokes equations.
    In: Proc. Colloq. Fluid Dynamics 2004, Inst. Thermomech. Prague (2004)  207-210
  35. (with F. Müller) On Approximate approximations of potentials.
    P.A.M.M. 4 (2004) 710-711
  36. An Energy conserving Lagrangian approximation for the stationary nonlinear Navier-Stokes equations.
    P. A. M. M. 5 (2005) 635-636
  37. (with F. Müller) An approximation method using approximate approximations.
    Applic. Anal. 85 (2006) 669-680
  38. The Navier-Stokes equations with Lagrangian differences.
    In: Proc. 2006 WSEAS/IASME Intern. Conf. Continuum Mech., Chalkida, Evia Island, Greece (2006) 175-179
  39. A Lagrangian approach to the nonlinear Navier-Stokes equations.
    WSEAS Transactions on Math. 3, Vol. 5 (2006) 266–274
  40. The Stokes Equations: A Numerical approach for the whole space problem.
    In: Proc. Conf. Topical Problems of Fluid Mechanics, Inst. Thermomech. (2007) 193-196
  41. (with S. König) The Stokes equations: A numerical approach for the boundary value problem.
    In: Proc. Conf. Topical Problems of Fluid Mech., Inst. Thermomech. Prague (2007)  91-94
  42. (with F. Müller) Error estimates for approximate approximations on compact intervalls.
    J. Approx. T. 145 (2007) 171–181
  43. (with S. König) Approximate approximations and a boundary point method for the linearized Stokes system.
    Int. J. Pure Appl. Math. 37 (2007) 441–451
  44. The Navier-Stokes equations with particle methods. In: Topics on Part. Diff. Equa.,
    Necas Center Math. Model. Lect. Notes 2, Charles Univ. Prague (2007) 121–157
  45. Boundary integral equations and maximum modulus estimates for the Stokes system.
    P. A. M. M. 7 (2007) 1042, 603-604
  46. Time delay and material differences for viscous incompressible fluid flow.
    WSPC - Proc. Equadiff Conf. Vienna Univ. Technol. (2007) 1-6
  47. (with T. Samrowski) Approximate approximations for the Poisson and the Stokes equations.
    Appl. Math. Sci. 2 No. 19 (2008) 929-946
  48. The Navier-Stokes equations with time delay.
    Appl. Math. Sci. 2 No. 20 (2008) 947-960
  49. On Lagrangian approximation for the Navier-Stokes system.
    Int. J. Pure Appl. Math. 42 (2008) 191-196
  50. Lagrangian approximations and weak solutions of the Navier-Stokes equations.
    Banach Center Publ. 81 (2008) 515-532
  51. (with D. Medková) Boundary value problems for the Stokes equations with jumps in open sets of IRn.
    Applic. Anal. 87 (2008) 829-849
  52. Approximate approximations and the Poisson equation in the whole space.
    Int. J. Pure Appl. Math. 49 (2008) 539-545
  53. The non-homogeneous Stokes system in exterior domains.
    P. A. M. M. 8 (2008)  10757-10758
  54. (with D. Medková) The Stokes Equations in exterior n-dimensional domains.
    Int. J. Pure Appl. Math. 50 (2009) 175–180
  55. (with R. Farwig, H. Sohr) On optimal initial value conditions for local strong solutions
    of the Navier-Stokes equations. Ann. Univ. Ferrara Sez. VII Sci. Mat. 55 (2009) 89-110
  56. (with N. Asanalieva): The Navier-Stokes equations with material differences.
    Proc. Colloq Fluid Dynamics 2009, Inst. Thermomech. Prague (2009) 1-2
  57. (with F. Müller) Approximate solutions and error estimates for a Stokes boundary value problem.
    Annali dell’Universita’ di Ferrara 55 (2009) 309-323
  58. (with N. Asanalieva) The Navier-Stokes equations with regularization.
    P. A. M. M. 09 (2009) 545-546
  59. Numerical methods for non-stationary Stokes flow.
    In: Advances in Math. Fluid Mech., Springer-Verlag (2010) 600-622
  60. (with S. Necasova, R. Rautmann) Preface - Dedicated to Prof. Vsevolod Alexeevich Solonnikov
    on the occasion of his 75th birthday. Discr. Contin. Dyn. Syst. Ser. S 3 (2010), no. 2, i-ii
  61. (with D. Medková) The Dirichlet problem for the Stokes system and the integral equations’ method.
    Int. J. Pure Appl. Math. 62 (2010) 49-55
  62. (with Paul Deuring) On Oseen resolvent estimates.
    Diff. Int. Equa. 23 No 11 - 12 (2010) 1139-1149
  63. Non-steady Stokes flow and finite differences. Proc. Colloq. Fluid Dynamics 2010,
    Inst. Thermomech. Prague (2010) 31-32
  64. (with S. Necasova, R. Rautmann, R. Temam) Special Issue in Honour of Prof. Solonnikov’s 75th Birthday:
    Preface. Applic. Anal 90 No 1 (2011) 1-3
  65. (with R. Farwig, H. Sohr) A necessary and sufficient condition on local strong solvability
    of the Navier–Stokes system, Applic. Anal 90 No 1 (2011) 47-58
  66. (with N. Asanalieva) Non-steady Navier-Stokes flow with steady Lagrangian differences.
    In: Proc. Conf. Topical Problems of Fluid Mech., Inst. Thermomech. Prague (2011) 1-4
  67. (with F. Zanger) Semidiscretization of nonstationary linear Stokes flow.
    In: Proc. Conf. Topical Problems of Fluid Mech., Inst. Thermomech. Prague (2011) 133-136
  68. (with F. Müller) On approximation and numerical solution of Fredholm integral equations of second kind
    using quasi-interpolation. Appl. Math. Comp. 217 (2011) 6409-6416
  69. (with D. Medkova) The planar Dirichlet problem for the Stokes equations.
    Math. Meth. Appl. Sci 34 (2011) 1097-1109
  70. A Maximum modulus estimate for the Stokes equations.
    In: Proc. Colloq. Fluid Dynamics, Inst. Thermomech Prague (2011) 49-50
  71. (with F. Müller) Constructing approximate solutions  for three-dimensional stationary Stokes flow.
    Dyn. Sys. Diff. Equa. Supplement (2011) 1091-1100
  72. (with R. Farwig, H. Sohr) Extensions of Serrin's uniqueness and regularity conditions
    for the Navier–Stokes equations. J. Math. Fluid Mech. 14 (2012) 529-540
  73. (with D. Medkova, E. Skopin) The boundary value problems for the scalar Oseen equation.
    Math. Nachr. 285, No. 17 - 18 (2012) 2208-2221
  74. Time delay and material differences for non-stationary Navier-Stokes flow.
    Far East J. Appl. Math. 72 No. 1 (2012) 49-59
  75. Maximum modulus estimates for the linear steady Stokes system.
    P. A. M. M. 12 (2012) 589 - 590
  76. (with D. Medkova, E. Skopin) The Robin problem for the scalar Oseen equation.
    Math. Meth. Appl. Sci. 36 (2013) 2237-2242
  77. (with F. Zanger) On approximation and computation of Navier-Stokes flow.
    J. P. D. Equa. 26 Nr. 2 (2013) 151-171
  78. (with S. Kracmar, D. Medkova, S. Necasova) A maximum modulus theorem for the Oseen problem.
    Annali Mat. Pura Applic. 192 Nr. 6 (2013) 1059-1076
  79. (with C. Simader, H. Sohr)  Necessary and sufficient conditions for the existence
    of Helmholtz decompositions in general domains. Annali dell'Universita' di Ferrara 60 No 1 (2014) 245-262
  80. (with R. Farwig and H. Sohr) Besov space regularity conditions for weak solutions
    of the Navier-Stokes equations. J. Math. Fluid Mech. 16 (2014) 307-320
  81. (with C. Heutling)  A first order method for non-steady Stokes flow.
    In: Proc. Colloq. Fluid Dynamics, Inst. Thermomech. Prague (2014) 17-18
  82. (with N. Asanalieva , C. Heutling) The Navier-Stokes equations with particle methods.
    P. A. M. M. 14 (2014) 739-740
  83. The Stokes resolvent equations in 2d exterior domains.
    P. A. M. M. 14 (2014) 741-742
  84. Time delay and Lagrangian differences for viscous incompressible fluid flow. In: Proc.
    Topical Problems of Fluid Mechanics 2015,     Inst. Thermomech. Prague (2015) 255-260
  85. (with D. Medkova, M. Ptashnyk)  Integral representation of a solution to the Stokes-Darcy problem.
    Math. Meth. Appl. Sci. 38 No 17 (2015) 3968-3979
  86. (with N. Asanalieva, C. Heutling) Time delay and Lagrangian approximation for Navier-Stokes flow.
    Analysis 35 No 4 (2015) 213-229
  87. (with R. Farwig, H. Sohr)  Local strong solutions of the nonhomogeneous Navier-Stokes system
    with control of the interval of existence. Topol. Meth. Nonl. Anal. 46 No 2 (2015) 999-1012
  88. (with M. Abdulhameed, I. Hashim, R. Roslan) The unsteady flow of a thirdgrade fluid caused by the periodic motion
    of an infinite wall with transpiration. Alexandria Engineering J. 54 (2015) 1233-1241
  89. (with R. Farwig, C. Simader, H. Sohr)  General properties of the Helmholtz decomposition in spaces of  Lq - type.
    Contemp. Math., to appear
  90. (with D. Medkova, M. Ptashnyk)  Generalized Darcy-Oseen resolvent problem.
    Math. Meth. Appl. Sci., to appear
  91. (mit F. Zanger) A Remark on the Fractional Step Theta Scheme for the Nonstationary Stokes Equations.
    Springer Proc. Math., to appear
  92. A Crank-Nicholson Method for Non-steady Stokes Flow.
    In: Proc. Topical Problems of Fluid Mechanics 2016, Inst. Thermomech. Prague (2016) 237-240
  93. (with R. Farwig, and H. Sohr) Local in Time Regularity Regions for General Weak Solutions of the Navier-Stokes Equations.
    Preprint U Kassel

Editorial Activities

    1.   (with S. Necasova, R. Rautmann): Discrete and Continuous Dynamical Systems Series S,
          American Institute of Mathematical Sciences, Vol. 3 No 2 (2010), pages 141-370

    2.   (with S. Necasova, R. Rautmann, R. Temam): Special Issue dedicated to Prof. Dr. Vsevolod A. Solonnikov
          on the occasion of his 75th birthday, Applicable Analysis 90 No 1 (2011), pages 1-262

     3.  (with E. Feireisl, S. Necasova, R. Rautmann): Discrete and Continuous Dynamical Systems Series S,
          American Institute of Mathematical Sciences, Vol. 7 No 5 (2014) pages 886-1132