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JOURNALS // Sibirskii Matematicheskii Zhurnal

Sibirsk. Mat. Zh., 1993, Volume 34, Number 5, Pages 120–146 (Mi smj1495)

Existence and uniqueness of stationary solutions for a viscous compressible heat-conducting fluid with large potential and small nonpotential external forces
A. Novotny, M. Padula

This publication is cited in the following articles:
  1. Dou Changsheng, Ju Qiangchang, “Existence of strong solutions and low Mach number limit for boundary value problems of steady compressible magnetohydrodynamic equations with large external forces”, Sci. Sin.-Math., 2026  crossref
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  4. Plotnikov P.I., Ruban E.V., Sokolowski J., “Inhomogeneous boundary value problems for compressible Navier–Stokes and transport equations”, Journal de Mathematiques Pures et Appliquees, 92:2 (2009), 113–162  crossref  mathscinet  zmath  isi
  5. A. E. Mamontov, “Globalnaya razreshimost mnogomernykh uravnenii szhimaemoi nenyutonovskoi zhidkosti, transportnoe uravnenie i prostranstva Orlicha”, Sib. elektron. matem. izv., 6 (2009), 120–165  mathnet  mathscinet  elib
  6. Plotnikov P.I., Ruban E.V., Sokolowski J., “Shape Differentiability of Drag Functional for Compressible Navier–Stokes Equations”, Optimal Control of Coupled Systems of Partial Differential Equations, International Series of Numerical Mathematics, 158, 2009, 205–219  mathscinet  zmath  isi
  7. Plotnikov P.I., Ruban E.V., Sokolowski J., “Shape Sensitivity Analysis for Compressible Navier–Stokes Equations”, System Modeling and Optimization, Ifip Advances in Information and Communication Technology, 312, 2009, 430–447  crossref  mathscinet  zmath  adsnasa  isi
  8. P. I. Plotnikov, E. V. Ruban, J. Sokolowski, International Series of Numerical Mathematics, 158, Optimal Control of Coupled Systems of Partial Differential Equations, 2009, 205  crossref
  9. Plotnikov P.I., Ruban E.V., Sokolowski J., “Inhomogeneous Boundary Value Problems for Compressible Navier–Stokes Equations: Well–Posedness and Sensitivity Analysis”, SIAM Journal on Mathematical Analysis, 40:3 (2008), 1152–1200  crossref  mathscinet  zmath  isi
  10. P.I. Plotnikov, J. Sokolowski, Handbook of Differential Equations: Stationary Partial Differential Equations, 6, Handbook of Differential Equations - Stationary Partial Differential Equations, 2008, 313  crossref
  11. Pavel I. Plotnikov, Jan Sokolowski, International Series of Numerical Mathematics, 155, Control of Coupled Partial Differential Equations, 2007, 249  crossref
  12. Plotnikov P.I., Sokolowski J., “Domain dependence of solutions to compressible Navier–Stokes equations”, SIAM Journal on Control and Optimization, 45:4 (2006), 1165–1197  crossref  mathscinet  zmath  isi
  13. O. S. Rozanova, H. I. Fuzhita, “A stationary solution to the air motion equations in the lower part of a typhoon”, J. Appl. Industr. Math., 1:2 (2007), 225–246  mathnet  crossref  mathscinet  zmath
  14. Plotnikov P.I., Sokolowski J., “On compactness, domain dependence and existence of steady state solutions to compressible isothermal Navier–Stokes equations”, Journal of Mathematical Fluid Mechanics, 7:4 (2005), 529–573  crossref  mathscinet  zmath  adsnasa  isi
  15. Jin B.J., Padula M., “Steady flows of compressible fluids in a rigid container with upper free boundary”, Mathematische Annalen, 329:4 (2004), 723–770  mathscinet  zmath  isi
  16. Bum Ja Jin, Mariarosaria Padula, “Steady flows of compressible fluids in a rigid container with upper free boundary”, Math. Ann., 329:4 (2004), 723  crossref
  17. Mariarosaria Padula, Applied Nonlinear Analysis, 2002, 417  crossref
  18. Choe H.J., Jin B.J., “Existence of solutions of stationary compressible Navier–Stokes equations with large force”, Journal of Functional Analysis, 177:1 (2000), 54–88  crossref  mathscinet  zmath  isi
  19. Padula M., “On the stability of a steady state of a viscous compressible fluid”, Trends in Applications of Mathematics to Mechanics, Chapman & Hall/Crc Monographs and Surveys in Pure and Applied Mathematics, 106, 2000, 317–326  mathscinet  zmath  isi
  20. Padula M., “On the decay to zero of the L-2-norms of perturbations to a viscous compressible fluid motion exterior to a compact obstacle”, Applied Nonlinear Analysis, 1999, 417–426  mathscinet  zmath  isi
  21. Rachid Benabidallah, Mariarosaria Padula, “Sulla stabilità di un fluido politropico, viscoso e pesante in un contenitore limitato da pareti perfette conduttrici di calore”, Ann. Univ. Ferrara, 45:1 (1999), 127  crossref
  22. Novotny A., Pileckas K., “Steady compressible Navier–Stokes equations with large potential forces via a method of decomposition”, Mathematical Methods in the Applied Sciences, 21:8 (1998), 665–684  crossref  mathscinet  zmath  adsnasa  isi
  23. Antonin Novotny, Konstantin Pileckas, “Steady compressible Navier-Stokes equations with large potential forces via a method of decomposition”, Math. Meth. Appl. Sci., 21:8 (1998), 665  crossref
  24. Galdi G.P., Novotny A., Padula M., “On the two dimensional steady–state problem of a viscous gas in an exterior domain”, Pacific Journal of Mathematics, 179:1 (1997), 65–100  crossref  mathscinet  zmath  isi
  25. Padula M., Pileckas K., “On the Existence and Asymptotical Behaviour of a Steady Flow of a Viscous Barotropic Gas in a Pipe”, Ann Mat Pura Appl, 172:1 (1997), 191–218  crossref  mathscinet  zmath  isi
  26. Nazarov S.A., Novotny A., Pileckas K., “On steady compressible Navier–Stokes equations in plane domains with corners”, Mathematische Annalen, 304:1 (1996), 121–150  crossref  mathscinet  zmath  isi
  27. Antonín Novotný, Mariarosaria Padula, “Lp-approach to steady flows of viscous compressible fluids in exterior domains”, Arch. Rational Mech. Anal., 126:3 (1994), 243  crossref


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