Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in ℝ3
Tóm tắt
Từ khóa
Tài liệu tham khảo
Beirä o da Vega, 1987, Existence and Asymptotic Behaviour for Strong Solutions of the Navier-Stokes Equations in the Whole Space, Indiana Univ. Math. Journal, Vol. 36, 149, 10.1512/iumj.1987.36.36008
Bergh, 1976
Bony, 1981, Calcul symbolique et propagation des singularités dans les équations aux dérivées partielles non linéaires, Ann. Sci. Ecole Norm. Sup., Vol. 14, 209, 10.24033/asens.1404
M. Cannone, Ondelettes, Paraproduits et Navier-Stokes, PhD thesis, Université Paris IX, CEREMADE F-75775 PARIS CEDEX, 1994, to be published by Diderot Editeurs (1995).
Chemin, 1992, Remarques sur l’existence globale pour le système de Navier-Stokes incompressible, SIAM Journal Math. Anal., Vol. 23, 20, 10.1137/0523002
Giga, 1986, Solutions for Semi-Linear Parabolic Equations in Lp and Regularity of Weak Solutions of the Navier-Stokes System, Journal of differential equations, Vol. 61, 186, 10.1016/0022-0396(86)90096-3
Giga, 1985, Solutions in Lr of the Navier-Stokes Initial Value Problem, Arch. Rat. Mech. Anal., Vol. 89, 267, 10.1007/BF00276875
Kajikiya, 1986, On L2 Decay of Weak Solutions of the Navier-Stokes Equations in Rn, Math. Zeit., Vol. 192, 135, 10.1007/BF01162027
Kato, 1984, Strong LP Solutions of the Navier-Stokes Equations in Rm with Applications to Weak Solutions, Math. Zeit., Vol. 187, 471, 10.1007/BF01174182
Kato, 1962, On the non-stationnary Navier-Stokes system, Rend. Sem. Math. Univ. Padova, Vol. 32, 243
Kato, 1964, On the Navier-Stokes Initial Value Problem I, Arch. Rat. Mech. Anal., Vol. 16, 269, 10.1007/BF00276188
Peetre, 1976
Serrín, 1962, On the Interior Regularity of Weak Solutions of the Navier-Stokes Equations, Arch. Rat. Mech. Anal., Vol. 9, 187, 10.1007/BF00253344
Stein, 1970
Taylor, 1992, Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations, Comm. in POE, Vol. 17, 1407, 10.1080/03605309208820892
Triebel, 1983