Searching for Singularities in Navier–Stokes Flows Based on the Ladyzhenskaya–Prodi–Serrin Conditions

Autor: Di Kang, Bartosz Protas

Publikováno v: Journal of Nonlinear Science. 32

In this investigation we perform a systematic computational search for potential singularities in 3D Navier-Stokes flows based on the Ladyzhenskaya-Prodi-Serrin conditions. They assert that if the quantity $\int_0^T \| \mathbf{u}(t) \|_{L^q(\Omega)}^

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cee67204cdb725275cabe20be2ed1d0
https://doi.org/10.1007/s00332-022-09832-7

On Maximum Enstrophy Dissipation in 2D Navier-Stokes Flows in the Limit of Vanishing Viscosity

Autor: Pritpal Matharu, Bartosz Protas, Tsuyoshi Yoneda

We consider enstrophy dissipation in two-dimensional (2D) Navier-Stokes flows and focus on how this quantity behaves in thelimit of vanishing viscosity. After recalling a number of a priori estimates providing lower and upper bounds on this quantity,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47e2a2cdb6a3f5bd7919852b5fa159a3
http://arxiv.org/abs/2206.03607

Optimal eddy viscosity in closure models for two-dimensional turbulent flows

Autor: Bartosz Protas, Pritpal Matharu

Publikováno v: Physical Review Fluids. 7

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::00d728eeb28150b33cd8a5cc60a05cf2
https://doi.org/10.1103/physrevfluids.7.044605

An accelerated Sobolev gradient method for unconstrained optimization problems based on variable inner products

Autor: Arian Novruzi, Bartosz Protas

Publikováno v: Journal of Computational and Applied Mathematics. 420:114833

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0d75efc015eb6bbefce213c216463747
https://doi.org/10.1016/j.cam.2022.114833

Incorporating Dendrite Growth into Continuum Models of Electrolytes: Insights from NMR Measurements and Inverse Modeling

Autor: Giles Richardson, Bartosz Protas, Sergey A. Krachkovskiy, Gillian R. Goward, Athinthra K. Sethurajan, J. David Bazak, Jamie M. Foster

Publikováno v: Foster, J 2019, ' Incorporating dendrite growth into continuum models of electrolytes: insights from NMR measurements and inverse modelling ', Journal of the Electrochemical Society, vol. 166, no. 8, pp. A1591-A1602 . https://doi.org/10.1149/2.0921908jes

In this work we develop a combined experimental and inverse continuum modelling approach to the problem of determining properties of a lithium electrolyte from NMR measurements of ion concentration in a test cell. The experimental set-up consists of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9d0eeb1660d3bc75f5324f7018056aa
https://doi.org/10.1149/2.0921908jes