Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors. Cambridge Texts in Applied Mathematics

By Joan Robinson, Christophe Pierre. 2003

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Dynamical Aspects of Mean Field Plane Rotators and the Kuramoto Model (2009, methodology): “At this point, since we know that the solution is bounded, the smoothness in both variables of the solution (for t> 0) can be derived by standard methods: this issue is taken up for example in [3] for a slightly different evolution equation, or, more generally, in [ 19 ].”
Trajectory attractors for binary fluid mixtures in 3D (2010, methodology): “This theory has been successfully applied to many nonlinear differential equation of mathematical physics (see, for instance, [55, 59, 64] and references therein).”
Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations (2015, neutral): “see [27]).”