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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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3 results for “Ebin-Marsden”

The Ebin-Marsden toolbox for stochastic PDEs: stochastic Euler equationsmath.PR

Toolbox for stochastic Euler equations using Ebin-Marsden theory.

problem Applying geometric framework to stochastic PDEs.

method Combining infinite-dimensional geometry and stochastic analysis.

result Local well-posedness of maximal solutions for incompressible Euler equation with noise.

Ebin-Marsden stochastic PDEs Euler equations infinite-dimensional geometry no-loss-no-gain

2023-11-14abs ↗pdf ↗

Nash embedding, shape operator and Navier-Stokes equation on a Riemannian manifoldmath.DG

What is the suitable Laplace operator on vector fields for the Navier-Stokes equation on a Riemannian manifold? In this note, by considering Nash embedding, we will try to elucidate different aspects of different Laplace operators such as de Rham-Hodge Laplacian as well as Ebin-Marsden's Laplacian. A probabilistic repr…

2019-07-29abs ↗pdf ↗

Asymptotically almost periodic solutions to parabolic equations on the real hyperbolic manifoldmath.AP

Study asymptotically almost periodic solutions on real hyperbolic manifolds.

problem Existence and asymptotic behavior of solutions to parabolic equations.

method Dispersion and smoothing estimates, fixed point argument.

result Existence and uniqueness of asymptotically almost periodic solutions.

hyperbolic manifold parabolic equations asymptotically almost periodic fixed point dispersive estimates

2021-09-17abs ↗pdf ↗