Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Adam Larios"'
Publikováno v:
Journal of Nonlinear Science. 32
We propose and prove several regularity criteria for the 2D and 3D Kuramoto–Sivashinsky equation, in both its scalar and vector forms. In particular, we examine integrability criteria for the regularity of solutions in terms of the scalar solution
Autor:
Collin, Adam Larios Victor
Publikováno v:
Communications in Computational Physics. 29:1273-1298
Publikováno v:
Journal of Computational Physics. 468:111509
Autor:
Elizabeth Carlson, Adam Larios
Publikováno v:
Journal of Nonlinear Science. 31
We rigorously prove the well-posedness of the formal sensitivity equations with respect to the Reynolds number corresponding to the 2D incompressible Navier-Stokes equations. Moreover, we do so by showing a sequence of difference quotients converges
Autor:
Elizabeth Carlson, Joshua Hudson, Adam Larios, Vincent R. Martinez, Eunice Ng, Jared P. Whitehead
Motivated by recent progress in data assimilation, we develop an algorithm to dynamically learn the parameters of a chaotic system from partial observations. Under reasonable assumptions, we supply a rigorous analytical proof that guarantees the conv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8ac86b9233ec87f9453d4785e204dfa
http://arxiv.org/abs/2108.08354
http://arxiv.org/abs/2108.08354
We introduce a general and fast convolution-based method (FCBM) for peridynamics (PD). Expressing the PD integrals in terms of convolutions and computing them by fast Fourier transform (FFT), we reduce the computational complexity of PD models from O
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89d1998aec6a17321f9d85d1dc8da55e
http://arxiv.org/abs/2105.06055
http://arxiv.org/abs/2105.06055
Publikováno v:
Journal of Differential Equations. 266:2435-2465
The velocity–vorticity formulation of the 3D Navier–Stokes equations was recently found to give excellent numerical results for flows with strong rotation. In this work, we propose a new regularization of the 3D Navier–Stokes equations, which w