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Alan Weinstein
Researcher at University of California, Berkeley
Publications - 178
Citations - 18699
Alan Weinstein is an academic researcher from University of California, Berkeley. The author has contributed to research in topics: Symplectic geometry & Symplectic manifold. The author has an hindex of 57, co-authored 176 publications receiving 17783 citations. Previous affiliations of Alan Weinstein include Pennsylvania State University & University of California.
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Reduction of symplectic manifolds with symmetry
TL;DR: In this paper, a unified framework for the construction of symplectic manifolds from systems with symmetries is presented, including rotationally invariant systems, the rigid body, fluid flow, and general relativity.
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The local structure of Poisson manifolds
TL;DR: In this paper, the authors propose a model for linearization of Poisson lineaires, based on a combination of Paires duales, groupes de jauge, and groupes hamiltoniens.
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Nonlinear stability of fluid and plasma equilibria
TL;DR: The Liapunov method for establishing stability has been used in a variety of fluid and plasma problems, such as MHD, multilayer quasigeostrophic flow, adiabatic flow and the Poisson-Vlasov equation.
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Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
Andreas Floer,Alan Weinstein +1 more
TL;DR: In this article, it was shown that the Schrodinger equation with potential V and cubic nonlinearity has standing wave solutions concentrated near each non-degenerate critical point of V if γ > 0, V is bounded, and h is sufficiently small.