List of Publications

  1. Instabile Minimalflaechen in Riemannschen Mannigfaltigkeiten nichtpositiver Schnittkruemmung, Journal f. d. reine u. angew. Mathematik 315 (1980) 16-39

  2. Instabile Flaechen vorgeschriebener mittlerer Kruemmung, Math. Zeitschr. 174 (1980) 119-133

  3. Einige Bemerkungen zur Frage der eindeutigen Loesbarkeit des Dirichletproblems fuer ein gewisses System nichtlinearer Differentialgleichungen, Math. Zeitschr. 175 (1980) 161-163

  4. Instabile Loesungen der Eulerschen Gleichungen gewisser Variationsprobleme, Arch. Rat. Mech. Anal. 79 (1982) 219-239

  5. Instabile Minimalflaechen mit halbfreiem Rand, Analysis 2 (1982) 315-335

  6. Unstable solutions of the Euler equations of certain variational problems, Math. Zeitschr. 186 (1984) 179-199

  7. About the Morse theory for certain variational problems, Math. Annalen 270 (1985) 275-284

  8. Some remarks about variational problems with constraints, in: Differential geometry-calculus of variations, Lecture notes in pure and applied mathematics v.100 marcel dekker, New York 1985

  9. About the resolvent of an operator from fluid dynamics, Math. Zeitschr. 194 (1987) 183-191

  10. About a certain class of parabolic-hyperbolic systems of differential equations, Analysis 9 (1989) 1-39

  11. About compressible fluid flow in a bounded region, Pacific Journal 143 (1990) 359-375

  12. About an initial-boundary value problem from magneto-hydrodynamics. Mathematische Zeitschrift 209, 345-362 (1992)

  13. The parametric Plateau problem and related topics. In: The Problem of Plateau, World Scientific, Singapore, 1992, p.258-284

  14. An existence result for partially regular weak solutions of certain abstract evolution equations, with an application to magneto-hydrodynamics. Math. Z. 213, 373-385 (1993)

  15. Hilbert space methods and boundary conditions in hydrodynamics with applications to Couette flow (with G. Knorr). Z. Naturforsch. 48a, 679-691 (1993)

  16. About the eigenfunctions of the curl-operator. Applicable Analysis 51, 187-196 (1993)

  17. Partially regular weak solutions for a system of equations modeling liquid crystal motion. Analysis 14, 381-391 (1994)

  18. About the approximation of steady viscous flows using the eigenfunctions of a certain differential operator, Mathematische Nachrichten 174, 283-304 (1995)

  19. An eigenvalue problem related to viscous flow. Analysis 15, 221-232 (1995)

  20. A remark about a Galerkin method, Banach Center Publications 33, 365-367 (1996), Warsaw

  21. Existence and stability theorems for abstract parabolic equations, and some of their applications (with W. Zajaczkowski), Banach Center Publications 33, 369-382 (1996), Warsaw

  22. On the existence and properties of the rotationally symmetric equilibrium states of compressible barotropic self-gravitating fluids (with W. Zajaczkowski) Indiana University Mathematics Journal 46, 1181-1220 (1997)

  23. Local existence of solutions of the free boundary problem for the equations of compressible barotropic viscous self-gravitating fluids (with W. Zajaczkowski) Appl. Math. (Warsaw) 26, 1-31 (1999)

  24. About the equations of non-stationary magneto-hydrodynamics with non-conducting boundaries, Nonlinear Analysis 39 (2000) 629-647

  25. About the approximation of unsteady flows by the eigenfunctions of a certain differential operator, Math. Nachr. 221 (2001) 151-168

  26. About the equations of non-stationary magneto-hydrodynamics, Nonlinear Analysis 52 (2003) 1249-1273

  27. About the decay of surface waves on viscous fluids without surface tension, in: Evolution Equations: Propagation Phenomena - Global Existence, Influence of Non-Linearities: Rainer Picard, Michael Reissig, Wojciech Zajaczkowski (eds.), Banach Center Publications, vol. 60, Warszawa 2003, p. 55-72

  28. First order differential equations and the atmosphere, College Mathematics Journal 35, No. 2, (2004), 93-96

  29. About the Linear Stability of the Spherically Symmetric Solution for the Equations of a Barotropic Viscous Fluid Under the Influence of Self-Gravitation, J. math. fluid mech. 8, (2006) 36-63

  30. Asymptotic estimates for a semigroup related to compressible viscous fluid flow, Analysis 27, (2007) 35-60

  31. Asymptotic estimates for a perturbation of the linearization of an equation for compressible viscous fluid flow, Studia Mathematica 185, (2008) 99-125

  32. Stationary states and moving planes, in: Banach Center Publications, vol. 81, Warsaw 2008
  33. About conormal and oblique derivative problems,  Analysis 29, (2009) 341-354 
  34. About the stability of gas balls, J. Math. Fluid Mechanics, 11 (2009) 572-608
  35. (with Li, Dongsheng and Wang, Lihe) Symmetry of Integral equations on bounded domains, Proceedings of the AMS, 137 (2009) 3695-3702
  36. A note about parabolic systems and analytic semigroups, J. Part. Diff. Eq. 24 (2011)  281-288
  37. Questions of stability for a parabolic-hyperbolic system, Progress in Nonlinear Differential Equations and Their Applications, vol. 80, Springer, Basel 2011
  38. (with H.-P. Gittel, M. Guenther) Remarks on a nonlinear transport problem, J. Differential Equations 256 (2014) 957–988
  39. Existence and structural stability for certain configurations of rotating barotropic fluids, J. Math. Fluid Mechanics, 16 (2014) 193-210   
  40. About Linear Stability for Multiple Gas Balls, J. Math. Fluid Mechanics, 18 (2016) 71-88
  41. (with H.-P. Gittel, M. Guenther) A nonlinear transport problem of hyperbolic-elliptic type, Bull Braz Math Soc, New Series 47(1), 373-379 (2016)
  42. (with B. Nowakowski, W. M. Zajaczkowski) Large time existence of special strong solutions to MHD equations in cylindrical domains, J. Math. Fluid Mech. 20 (2018), 1013-1034
  43. (with B. Nowakowski, M. Karpiński) On the principal eigenvalue of the Stokes operator in cylindrical domains, ZAMM 98 (2018), 1742-1753
  44. About nonlinear stability for multiple gas balls, J. Math. Fluid Mech., 21:7 (2019) , 21 pages 
  45. (with B. Nowakowski) In-flow and out-flow problem for the Stokes system, J. Math. Fluid Mech., 22:58  (2020)