Blar i Vitenskapelige publikasjoner (TN-IEP) på forfatter "Evje, Steinar"
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A compressible viscous three-phase model for porous media flow based on the theory of mixtures
Qiao, Yangyang; Evje, Steinar (Peer reviewed; Journal article, 2020)In this paper we focus on a general model to describe compressible and immiscible three-phase flow in porous media. The underlying idea is to replace Darcy’s law by more general momentum balance equations. In particular, ... -
Fluid-sensitive migration mechanisms predict association between metastasis and high interstitial fluid pressure in pancreatic cancer
Nævdal, Geir; Rofstad, Einar K; Søreide, Kjetil; Evje, Steinar (Peer reviewed; Journal article, 2022)A remarkable feature in pancreatic cancer is the propensity to metastasize early, even for small, early stage cancers. We use a computer-based pancreatic model to simulate tumor progression behavior where fluid-sensitive ... -
On the numerical discretization of a tumor progression model driven by competing migration mechanisms
Qiao, Yangyang; Li, Qing; Evje, Steinar (Peer reviewed; Journal article, 2021)In this work we explore a recently proposed biphasic cell-fluid chemotaxis-Stokes model which is able to represent two competing cancer cell migration mechanisms reported from experimental studies. Both mechanisms depend ... -
Solving Nonlinear Conservation Laws of Partial Differential Equations Using Graph Neural Networks
Li, Qing; Geng, Jiahui; Evje, Steinar; Rong, Chunming (Peer reviewed; Journal article, 2023)Nonlinear Conservation Laws of Partial Differential Equations (PDEs) are widely used in different domains. Solving these types of equations is a significant and challenging task. Graph Neural Networks (GNNs) have recently ...