Stabilizing influence of a Skew-symmetric operator in semilinear parabolic equation
Rendiconti del Seminario Matematico della Università di Padova, Volume 102 (1999), pp. 97-123.
@article{RSMUP_1999__102__97_0,
author = {Neustupa, Ji\v{r}{\'\i}},
title = {Stabilizing influence of a {Skew-symmetric} operator in semilinear parabolic equation},
journal = {Rendiconti del Seminario Matematico della Universit\a di Padova},
pages = {97--123},
publisher = {Seminario Matematico of the University of Padua},
volume = {102},
year = {1999},
zbl = {0936.47027},
mrnumber = {1739535},
language = {en},
url = {http://www.numdam.org/item/RSMUP_1999__102__97_0/}
}
TY  - JOUR
AU  - Neustupa, Jiří
TI  - Stabilizing influence of a Skew-symmetric operator in semilinear parabolic equation
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1999
DA  - 1999///
SP  - 97
EP  - 123
VL  - 102
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_1999__102__97_0/
UR  - https://zbmath.org/?q=an%3A0936.47027
UR  - https://www.ams.org/mathscinet-getitem?mr=1739535
LA  - en
ID  - RSMUP_1999__102__97_0
ER  - 
%0 Journal Article
%A Neustupa, Jiří
%T Stabilizing influence of a Skew-symmetric operator in semilinear parabolic equation
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1999
%P 97-123
%V 102
%I Seminario Matematico of the University of Padua
%G en
%F RSMUP_1999__102__97_0
Neustupa, Jiří. Stabilizing influence of a Skew-symmetric operator in semilinear parabolic equation. Rendiconti del Seminario Matematico della Università di Padova, Volume 102 (1999), pp. 97-123. http://www.numdam.org/item/RSMUP_1999__102__97_0/`

[1] K.I. Babenko, Spectrum of the Linearized ProbLem of Flow of a Viscous Incompressible Liquid round a Body, Sov. Phys. Dikl., 27 (1) (1982), pp. 25-27. | Zbl

[2] W. Borchers - T. Miyakawa, L2-Decay for Navier-Stokes Flows in Unbounded Domains, with Application to Exterior Stationary Flows, Arch. for Rat. Mech. and Anal., 118 (1992), pp. 273-295. | MR | Zbl

[3] G.P. Galdi - M. PADULA, A New Approach to Energy Theory in the Stability of Fluid Motion, Arch. for Rat. Mech. and Anal., 110 (1990), pp. 187-286. | MR | Zbl

[4] G.P. Galdi - S. Rionero, Weighted Energy Methods in Fluid Dynamics and Elasticity, Lecture Notes in Mathematics, 1134, Springer-Verlag, Berlin-Heidelberg -New York-Tokyo (1985). | MR | Zbl

[5] D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, 840, Springer-Verlag, Berlin-Heidelberg -New York (1981). | MR | Zbl

[6] T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, Berlin-Heidelberg- New York (1966). | MR | Zbl

[7] H. Kielhöfer, Existenz und Regularität Von Lösungen semilinearer parabolisher Anfangs-Randwertprobleme, Math. Z., 142 (1975), pp. 131-160. | MR | Zbl

[8] H. Kielhöfer, On the Lyapunov Stability of stationary Solutions of Semilinear Parabolic Differential Equations, J. of Diff. Equations, 22 (1976), pp. 193-208. | MR | Zbl

[9] H. Kozono - M. Yamazaki, Navier-Stokes Equations in Exterior Donains, preprint 1995. | MR

[10] O.A. Ladyzhenskaya, Mathematical Problems of Dynamics of Viscous Incompressible Fluid, Nauka, Moscow 1970 (Russian).

[11] J.L. Lions - E. Magenes, Nonhomogeneous Boundary Value Problems and Applications I, Springer-Verlag, New York (1972). | Zbl

[12] P. Maremonti, Asymptotic Stability Theorems for Viscous Fluid Motions in Exterior Domains, Rend. Sem. Mat. Univ. Padova, 71 (1984), pp. 35-72. | Numdam | MR | Zbl

[13] K. Masuda, On the Stability of Incompressible Viscous Fluid Motions past Objects, J. of the Math. Soc. Japan, 27, 2 (1975), pp. 294-327. | MR | Zbl

[14] J. Neustupa, Stability of Solutions of Parabolic Equations by a Combination of the Semigroup Theory and the Energy Method, Proceedings of the Conference Navier-Stokes Equations and Related Nonlinear Problems held in Funchal, Madeira in May (1994). Editor A. Sequeira, Plenum Press, New York 1995, pp. 11-22. | MR | Zbl

[15] G. Prodi, Teoremi di tipo locale per il sistema di Navier-Stokes e stabilità delle soluzioni stazionarie, Rend. Sem. Mat. Univ. Padova, 32 (1962), pp. 374-397. | Numdam | MR | Zbl

[16] D.H. Sattinger, The Mathematical Problem of Hydrodynamic Stability, J. of Math. and Mech., 19 (1970), pp. 797-817. | MR | Zbl