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pro vyhledávání: '"Kirk, P L"'
Autor:
Drummond, Ross, Tredenick, Eloise C., Kirk, Toby L., Forghani, Marveh, Grant, Patrick S., Duncan, Stephen R.
Spatial distributions in current, temperature, state-of-charge and degradation across the plane of large format lithium-ion battery pouch cells can significantly impact their performance, especially at high C-rates. In this paper, a method to smooth
Externí odkaz:
http://arxiv.org/abs/2407.21071
The mixed form of the Cahn-Hilliard equations is discretized by the hybridizable discontinuous Galerkin method. For any chemical energy density, existence and uniqueness of the numerical solution is obtained. The scheme is proved to be unconditionall
Externí odkaz:
http://arxiv.org/abs/2302.13896
We consider laminar, fully-developed, Poiseuille flows of liquid in the Cassie state through diabatic, parallel-plate microchannels symmetrically textured with isoflux ridges. Through the use of matched asymptotic expansions we analytically develop e
Externí odkaz:
http://arxiv.org/abs/2211.13751
In this work we analyse the local nonlinear electrochemical impedance spectroscopy (NLEIS) response of a lithium-ion battery and estimate model parameters from measured NLEIS data. The analysis assumes a single-particle model including nonlinear diff
Externí odkaz:
http://arxiv.org/abs/2209.03961
We prove that a space-time hybridized discontinuous Galerkin method for the evolutionary Navier--Stokes equations converges to a weak solution as the time step and mesh size tend to zero. Moreover, we show that this weak solution satisfies the energy
Externí odkaz:
http://arxiv.org/abs/2110.11920
We study the dynamics of ionic liquids in a thin slit pore geometry. Beginning with the classical and dynamic density functional theories for systems of charged hard spheres, an asymptotic procedure leads to a simplified model which incorporates both
Externí odkaz:
http://arxiv.org/abs/2110.07014
We introduce and analyze a space-time hybridized discontinuous Galerkin method for the evolutionary Navier--Stokes equations. Key features of the numerical scheme include point-wise mass conservation, energy stability, and pressure robustness. We pro
Externí odkaz:
http://arxiv.org/abs/2103.13492
In mathematical models of lithium-ion batteries, the highly heterogeneous porous electrodes are frequently approximated as comprising spherical particles of uniform size, leading to the commonly-used single-particle model (SPM) when transport in the
Externí odkaz:
http://arxiv.org/abs/2006.12208
Autor:
Bryenton1, Kyle R., Cameron, Andrew R., Kirk, Keegan L. A., Saad, Nasser, Strongman, Patrick, Volodin, Nikita
The analysis of many physical phenomena can be reduced to the study of solutions of differential equations with polynomial coefficients. In the present work, we establish the necessary and sufficient conditions for the existence of polynomial solutio
Externí odkaz:
http://arxiv.org/abs/2003.08324
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