Zobrazeno 1 - 10
of 191
pro vyhledávání: '"Keith Promislow"'
Autor:
Scheel, Arnd
Publikováno v:
SIAM Review, 2014 Sep 01. 56(3), 549-553.
Externí odkaz:
https://www.jstor.org/stable/24248479
Publikováno v:
Results in Applied Mathematics, Vol 12, Iss , Pp 100195- (2021)
The Functionalized Cahn–Hilliard equation has been proposed as a model for the interfacial energy of phase-separated mixtures of amphiphilic molecules. We study the existence of a nonnegative weak solutions of a gradient flow of the Functionalized
Externí odkaz:
https://doaj.org/article/3e7cad851a3045759765159a38032537
Publikováno v:
SIAM Journal on Applied Mathematics. 82:1470-1494
We derive a thermodynamically consistent model for phase change in sea ice by adding salt to the framework introduced by Penrose and Fife. Taking the salt entropy relative to the liquid water molar fraction provides a transparent mechanism for salt r
Autor:
Yuan Chen, Keith Promislow
Publikováno v:
Journal of Dynamics and Differential Equations. 35:1785-1841
This work introduces the Hookean-Voronoi energy, a minimal model for the packing of soft, deformable balls. This is motivated by recent studies of quasi-periodic equilibria arising from dense packings of diblock and star polymers. Restricting to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53de7759c5c8b2a07f0b1ccf5482a7e9
http://arxiv.org/abs/2203.14785
http://arxiv.org/abs/2203.14785
Publikováno v:
Polymers, Vol 4, Iss 1, Pp 630-655 (2012)
We present the functionalized Cahn-Hilliard (FCH) energy, a continuum characterization of interfacial energy whose minimizers describe the network morphology of solvated functionalized polymer membranes. With a small set of parameters the FCH charact
Externí odkaz:
https://doaj.org/article/873b8a2e7fe64d4d8827dcd0ec6f8fc1
Publikováno v:
Results in Applied Mathematics, Vol 12, Iss, Pp 100195-(2021)
The Functionalized Cahn–Hilliard equation has been proposed as a model for the interfacial energy of phase-separated mixtures of amphiphilic molecules. We study the existence of a nonnegative weak solutions of a gradient flow of the Functionalized
Publikováno v:
Applicable Analysis. 100:1-16
The functionalized Cahn–Hilliard free energy describes phase separation in mixtures of amphiphilic molecules in solvent. Applications to highly amphiphilic molecules such as lipids requires degener...
Autor:
Yuan Chen, Keith Promislow
We consider the mass preserving $L^2$-gradient flow of the strong scaling of the functionalized Cahn Hilliard gradient flow and establish the nonlinear stability of a manifold comprised of quasi-equilibrium bilayer \muckmucks up to the manifold's bou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::612c2afebab335a770fe4f9c2175e3c4
http://arxiv.org/abs/2009.01633
http://arxiv.org/abs/2009.01633
Gradient Invariance of Slow Energy Descent: Spectral Renormalization and Energy Landscape Techniques
Autor:
Keith Promislow, Hayriye Guckir Cakir
For gradient flows of energies, both spectral renormalization (SRN) and energy landscape (EL) techniques have been used to establish slow motion of orbits near low-energy manifold. We show that both methods are applicable to flows induced by families
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::899f99b7c56362fca5a867b975991463