Global attractors for nonlocal parabolic equations with a new class of nonlinearities

키워드

참고문헌 (30)

1. A. S. Ackleh, "Existence-uniqueness and long time behavior for a class of nonlocal nonlinear parabolic evolution equations", Proc. Amer. Math. Soc., 128(12), pp.3483~3492 (2000)[DOI]
2. R. M. P. Almeida, "On a nonlocal degenerate parabolic problem", Nonlinear Anal. Real World Appl., 27, pp.146~157 (2016)[DOI]
3. R. M. P. Almeida, "A reaction-diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions", IMA J. Appl. Math., 81(2), pp.344~364 (2016)[DOI]
4. M. Anguiano, "Asymptotic behaviour of nonlocal reaction-diffusion equations", Nonlinear Anal., 73(9), pp.3044~3057 (2010)[DOI]
5. C. T. Anh, "Global attractor for a semilinear strongly degenerate parabolic equation on <TEX>${\mathbb{R}}^N$<", TEX>, 2014, pp.21(5), 663~678
6. C. T. Anh, "Global attractor for a semilinear parabolic equation involving Grushin operator", Electron. J. Differential Equations, 2008(32), pp.11~ (2008)
7. C. T. Anh, "Existence and continuity of global attractors for a degenerate semilinear parabolic equation", Electron. J. Differential Equations, 2009(61), pp.13~ (2009)
8. C. T. Anh, "Strong solutions to a strongly degenerate semilinear parabolic equation", Vietnam J. Math., 41(2), pp.217~232 (2013)[DOI]
9. F. Boyer, "Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models, Applied Mathematical Sciences, 183" (2013), Springer
10. T. Caraballo, "Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness", Nonlinear Dynam., 84(1), pp.35~50 (2016)[DOI]
11. T. Caraballo, "Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms", Nonlinear Anal., 121, pp.3~18 (2015)[DOI]
12. M. Chipot, "Some remarks on nonlocal elliptic and parabolic problems", Nonlinear Anal., 30(7), pp.4619~4627 (1997)[DOI]
13. M. Chipot, "Remarks on a nonlocal problem involving the Dirichlet energy", Rend. Sem. Mat. Univ. Padova, 110, pp.199~220 (2003)
14. I. D. Chueshov, "Introduction to the Theory of Infinite-Dimensional Dissipative Systems" (1999)
15. P. G. Geredeli, "On the existence of regular global attractor for p-Laplacian evolution equation", Appl. Math. Optim., 71(3), pp.517~532 (2015)[DOI]
16. P. G. Geredeli, "Long-time dynamics of the parabolic p-Laplacian equation", Commun. Pure Appl. Anal., 12(2), pp.735~754 (2013)
17. A. E. Kogoj, "Attractors for a class of semi-linear degenerate parabolic equations", J. Evol. Equ., 13(3), pp.675~691 (2013)[DOI]
18. D. Li, "Attractors for a class of semi-linear degenerate parabolic equations with critical exponent", J. Evol. Equ., 16(4), pp.997~1015 (2016)[DOI]
19. M. Marion, "Attractors for reaction-diffusion equations: existence and estimate of their dimension", Appl. Anal., 25(1-2), pp.101~147 (1987)[DOI]
20. S. B. de Menezes, "Remarks on weak solutions for a nonlocal parabolic problem", Int. J. Math. Math. Sci., 2006, pp.10~ (2006)
21. D. T. Quyet, "Semilinear strongly degenerate parabolic equations with a new class of nonlinearities", Vietnam J. Math., 45(3), pp.507~517 (2017)[DOI]
22. C. A. Raposo, "Solution and asymptotic behaviour for a nonlocal coupled system of reaction-diffusion", Acta Appl. Math., 102, pp.37~56 (2008)[DOI]
23. J. C. Robinson, "Infinite-Dimensional Dynamical Systems, Cambridge Texts in Applied Mathematics" (2001), Cambridge University Press
24. J. Simsen, "A global attractor for a nonlocal parabolic problem", Nonlinear Stud., 21(3), pp.405~416 (2014)
25. R. Temam, "Navier-Stokes Equations, revised edition, Studies in Mathematics and its Applications, 2" (1979), North-Holland Publishing Co.
26. R. Temam, "Infinite Dimensional Dynamical Systems in Mechanics and Physics" (1997), Springer-Verlag
27. M. X. Thao, "On the global attractor for a semilinear strongly degenerate parabolic equation", Acta Math. Vietnam., 41(2), pp.283~297 (2016)[DOI]
28. P. T. Thuy, "Long time behavior of solutions to semilinear parabolic equations involving strongly degenerate elliptic differential operators", NoDEA Nonlinear Differential Equations Appl., 20(3), pp.1213~1224 (2013)[DOI]
29. S. Zheng, "Asymptotic behavior of solutions to nonlinear parabolic equations with nonlocal terms", Asymptot. Anal., 45(3-4), pp.301~312 (2005)
30. C.-K. Zhong, "The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations", J. Differential Equations, 223(2), pp.367~399 (2006)[DOI]

관련 논문AI추천