287
Hetzer G, Schmidt PL (1992) Global existence and asymptotic behavior for a quasilinear
reaction-diffusion system from climate modeling. J. Math. Anal. Appl. 160:250-262
Hetzer G, Schmidt PL (1995) Analysis of energy balance models. Proc. 1st World
Congress of Nonlinear Analysts, to appear
Hirsch MW (1988) Stability and convergence in strongly monotone dynamical systems.
J. Reine Angew. Math. 383:1-53
Kerscher W, Nagel R (1984) Asymptotic behavior of one-parameter semi groups of positive operators. Acta Applicandae Mathematicae 2:297-308
Lions JL, Temam R, Wang Shouhong (1992a) New formulation of the primitive equations of atmosphere and application. Nonlinearity 5:237-288
Lions JL, Temam R, Wang Shouhong (1992b) On the equation of the large-scale ocean.
Nonlinearity 5:1007-1053
Lions JL, Temam R, Wang Shouhong (1992c) Models of the coupled atmosphere and
ocean (CAO 1). Preprint, The Institute for Applied Mathematics and Scientific
Computing 9206:1-52
Martin RH Jr.,Smith HL (1990) Abstract functional differential equations and reactiondiffusion systems. Trans. Amer. Math. Soc. 321:1-44
Mora X (1983) Semilinear parabolic problems define semifiows on C k spaces. Trans.
AMS 278:21-55
North GR (1995), this volume
North GR, Calahan RE, Coakley JA (1981) Energy balance climate models. Review of
Geophysics and Space Physics 19:91-121
North GR, Mengel JG, Short BA (1983) Simple energy balance models resolving the
seasons and the continents: Applications to the astronomical theory of ice ages J.
Geophys. Res. 88:6576-6586
Parrott ME (1989) Positivity and a principle of linearized stability for delay-differential
equations. Diff. and Integral Eqns. 2:170-182
PolaCik P, Terescak I (1991) Convergence of cycles as a typical asymptotic behavior
in smooth strongly monotone discrete-time dynamical systems. Arch. Rat. Mech.
Anal. 116:339-360
Schmidt BE (1994) Bifurcation of stationary solutions for Legendre type boundary value
problems arising from energy balance models. Dissertation Auburn
Sellers WB (1969) A global climate model based on the energy balance of the earthatmospere system. J. Appl. Meteor. 8:301-320
Shen W, Yi Y (1995) paper in preparation
Stewart HB (1974) Generation of analytic semi groups by strongly elliptic operators.
Trans. AMS 259:299-310
Takae P (1992) Domains of attraction of generic w-limit sets for strongly monotone
time-discrete semigroups. Journal reine angew. Math. 423:101-173
Wang Shouhong (1990/91) Approximate inertial manifolds for the 2D model of atmosphere. Numer. Funct. Anal. and Optimiz. 11:1043-1070
Wang Shouhong (1992a) On the 2D model of large-scale atmospheric motion: wellposedness and attractors. Nonlinear Analysis: Theory, Methods and Appl. 18:17-60
Wang Shouhong (1992b) Attractors for the 3D baroclinic quasi-geostrophic equations
of large-scale atmosphere. J. Math. Anal. Appl. 165:266-283
Washington WM, Parkinson CL(1986) An introduction to three-dimensional climate
modeling. University Science Books Mill Valley, CA
Hetzer G, Schmidt PL (1992) Global existence and asymptotic behavior for a quasilinear
reaction-diffusion system from climate modeling. J. Math. Anal. Appl. 160:250-262
Hetzer G, Schmidt PL (1995) Analysis of energy balance models. Proc. 1st World
Congress of Nonlinear Analysts, to appear
Hirsch MW (1988) Stability and convergence in strongly monotone dynamical systems.
J. Reine Angew. Math. 383:1-53
Kerscher W, Nagel R (1984) Asymptotic behavior of one-parameter semi groups of positive operators. Acta Applicandae Mathematicae 2:297-308
Lions JL, Temam R, Wang Shouhong (1992a) New formulation of the primitive equations of atmosphere and application. Nonlinearity 5:237-288
Lions JL, Temam R, Wang Shouhong (1992b) On the equation of the large-scale ocean.
Nonlinearity 5:1007-1053
Lions JL, Temam R, Wang Shouhong (1992c) Models of the coupled atmosphere and
ocean (CAO 1). Preprint, The Institute for Applied Mathematics and Scientific
Computing 9206:1-52
Martin RH Jr.,Smith HL (1990) Abstract functional differential equations and reactiondiffusion systems. Trans. Amer. Math. Soc. 321:1-44
Mora X (1983) Semilinear parabolic problems define semifiows on C k spaces. Trans.
AMS 278:21-55
North GR (1995), this volume
North GR, Calahan RE, Coakley JA (1981) Energy balance climate models. Review of
Geophysics and Space Physics 19:91-121
North GR, Mengel JG, Short BA (1983) Simple energy balance models resolving the
seasons and the continents: Applications to the astronomical theory of ice ages J.
Geophys. Res. 88:6576-6586
Parrott ME (1989) Positivity and a principle of linearized stability for delay-differential
equations. Diff. and Integral Eqns. 2:170-182
PolaCik P, Terescak I (1991) Convergence of cycles as a typical asymptotic behavior
in smooth strongly monotone discrete-time dynamical systems. Arch. Rat. Mech.
Anal. 116:339-360
Schmidt BE (1994) Bifurcation of stationary solutions for Legendre type boundary value
problems arising from energy balance models. Dissertation Auburn
Sellers WB (1969) A global climate model based on the energy balance of the earthatmospere system. J. Appl. Meteor. 8:301-320
Shen W, Yi Y (1995) paper in preparation
Stewart HB (1974) Generation of analytic semi groups by strongly elliptic operators.
Trans. AMS 259:299-310
Takae P (1992) Domains of attraction of generic w-limit sets for strongly monotone
time-discrete semigroups. Journal reine angew. Math. 423:101-173
Wang Shouhong (1990/91) Approximate inertial manifolds for the 2D model of atmosphere. Numer. Funct. Anal. and Optimiz. 11:1043-1070
Wang Shouhong (1992a) On the 2D model of large-scale atmospheric motion: wellposedness and attractors. Nonlinear Analysis: Theory, Methods and Appl. 18:17-60
Wang Shouhong (1992b) Attractors for the 3D baroclinic quasi-geostrophic equations
of large-scale atmosphere. J. Math. Anal. Appl. 165:266-283
Washington WM, Parkinson CL(1986) An introduction to three-dimensional climate
modeling. University Science Books Mill Valley, CA