Titlebook: Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations; P. Constantin,C. Foias,R. Teman Book 1989 Spring

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Application: A Parabolic Equation in Two Space Variables,In this section we illustrate the method developed in Chapters 3 to 13 on a simple semilinear reaction-diffusion equation in two space variables.

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0066-5452 boratory; it was then continued and polished while the authors were at Indiana Univer­ sity, at the University of Paris-Sud (Orsay), and again at Los Alamos in 1986 and 1987. Our aim was to present a direct geometric approach in the theory of inertial manifolds (global analogs of the unstable-center

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Stability with Respect to Perturbations,meter ., and perturbation of the right-hand side . (see(4.1)). Although we restrict ourselves to these three perturbations for the sake of simplicity, we believe that our perturbation results apply to more general situations.

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Sascha Neumann,Philipp Sandermann the state of Nature to the state of Culture is marked by man’s ability to view biological relations as a series of contrasts; duality, alternation, opposition, and symmetry, whether under definite or vague forms, constitute not so much phenomena to be explained as fundamental and immediately given