RT Journal Article
T1 Attractors for partly dissipative reaction diffusion systems in R-n
A1 Rodríguez Bernal, Aníbal
A1 Wang, Bixiang
AB In this paper, we study the asymptotic behavior of solutions for the partly dissipative reaction diffusion equations in R-n. We prove the asymptotic compactness of the solutions and then establish the existence of the global attractor in L-2(R-n) X L-2(R-n).
PB Elsevier
SN 0022-247X
YR 2000
FD 2000-12-15
LK https://hdl.handle.net/20.500.14352/57860
UL https://hdl.handle.net/20.500.14352/57860
LA eng
NO R FitzHugh Impulses and physiological states in theoretical models of nerve membrane Biophys. J., 1 (1961), pp. 445–466J Nagumo, S Arimoto, S Yosimzawa An active pulse transmission line simulating nerve axon Proc. J. R. E., 50 (1964), pp. 2061–2070Some threshold results for models of myelinated nerves Math. Biosci., 54 (1981), pp. 181–190M Marion Finite-dimensional attractors associated with partly dissipative reaction-diffusion systems SIAM J. Math. Anal., 20 (1989), pp. 816–844M Marion Inertial manifolds associated to partly dissipative reaction-diffusion systems J. Math. Anal. Appl., 143 (1989), pp. 295–326Z Shao Existence of inertial manifolds for partly dissipative reaction diffusion systems in higher space dimensions J. Differential Equations, 144 (1998), pp. 1–43A.V Babin, M.I Vishik Attractors of Evolution EquationsNorth-Holland, Amsterdam (1991)J.K Hale Asymptotic Behavior of Dissipative SystemsAmer. Math. Soc, Providence (1988)R Temam Infinite Dimensional Dynamical Systems in Mechanics and PhysicsSpringer-Verlag, New York (1997)A.V Babin, M.I Vishik Attractors of partial differential evolution equations in an unbounded domain Proc. Roy. Soc. Edinburgh Sect. A, 116 (1990), pp. 221–243F Abergel Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains J. Differential Equations, 83 (1990), pp. 85–108E Feireisl, Ph Laurencot, F Simondon, H Toure Compact attractors for reaction-diffusion equations in  n C. R. Acad. Sci. Paris Ser. I, 319 (1994), pp. 147–151E Feireisl, Ph Laurencot, F Simondon Global attractors for degenerate parabolic equations on unbounded domains J. Differential Equations, 129 (1996), pp. 239–261S Merino On the existence of the compact global attractor for semilinear reaction diffusion systems on  n J. Differential Equations, 132 (1996), pp. 87–106D Daners, S Merino Gradient-like parabolic semiflows on BUC( n) Proc. Roy. Soc. Sect. A Edinburgh, 128 (1998), pp. 1281–1291B Wang Attractors for reaction diffusion equations in unbounded domains Phys. D, 128 (1999), pp. 41–52J.M Ball Continuity properties and global attractors of generalized semiflows and the Navier–Stokes equations J. Nonlinear Sci., 7 (1997), pp. 475–502
NO DGES
NO Postdoctorship of Ministerio de Educacion y Cultura (Spain)
DS Docta Complutense
RD 27 abr 2024