Black and Gray Box Learning of Amplitude Equations: Application to Phase Field Systems
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.025305
Abstract: We present a data-driven approach to learning surrogate models for amplitude equations and illustrate its application to interfacial dynamics of phase field systems. In particular, we demonstrate learning effective partial differential equations describing the evolution of phase… read more here.
Keywords: amplitude equations; phase field; box; data driven ... See more keywords
Nonmodal amplitude equations.
Sign Up to like & getrecommendations! Published in 2025 at "Physical review. E"
DOI: 10.1103/pvn5-twfj
Abstract: We consider fluid flows for which the linearized Navier-Stokes operator is strongly nonnormal. The responses of such flows to external perturbations are spanned by a generically very large number of nonorthogonal eigenmodes. They are therefore… read more here.
Keywords: excitation; weakly nonlinear; amplitude equations; nonmodal amplitude ... See more keywords
Bifurcation from two equilibria of steady state solutions for non-reversible amplitude equations
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DOI: 10.11948/2017088
Abstract: In this paper, bifurcation and stability of two kinds of constant stationary solutions for non-reversible amplitude equations on a bounded domain with Neumann boundary conditions are investigated by using the perturbation theory and weak nonlinear… read more here.
Keywords: state; non reversible; reversible amplitude; steady state ... See more keywords