Application of surface growth model for a pathological process in a blood vessel's wall
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7056
Abstract: The present study deals with a problem of modeling a surface growth process. Governing principles for mechanics of growing solids have been formulated. Within the framework of the surface growth theory, different variants of boundary… read more here.
Keywords: process; growth; blood vessel; surface growth ... See more keywords
A combined accretion and surface growth model in the framework of irreversible thermodynamics
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Engineering Science"
DOI: 10.1016/j.ijengsci.2018.02.006
Abstract: Abstract We develop in this contribution models for material accretion and surface growth in the framework of the thermodynamics of irreversible phenomena. Accretion is a general situation in physics, encompassing phenomena like masonry, gravitational accretion,… read more here.
Keywords: accretion surface; thermodynamics; accretion; surface growth ... See more keywords
Energy conservation for weak solutions of a surface growth model
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.02.040
Abstract: Abstract We are concerned with one-dimensional scalar surface growth model arising from the physical process of molecular epitaxy. The mathematical theory of the surface growth model is known to share a number of striking similarities… read more here.
Keywords: surface growth; energy conservation; growth model;
Extensive numerical simulations of surface growth with temporally correlated noise.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.103.012121
Abstract: Surface growth processes can be significantly affected by long-range temporal correlations. In this work, we perform extensive numerical simulations of a (1+1)- and (2+1)-dimensional ballistic deposition (BD) model driven by temporally correlated noise, which is… read more here.
Keywords: extensive numerical; correlated noise; numerical simulations; surface growth ... See more keywords
Nonlinear elasticity of incompatible surface growth.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.053001
Abstract: Surface growth is a crucial component of many natural and artificial processes, from cell proliferation to additive manufacturing. In elastic systems surface growth is usually accompanied by the development of geometrical incompatibility, leading to residual… read more here.
Keywords: incompatible surface; nonlinear elasticity; surface growth; growth ... See more keywords