Blar i Department of Mathematics and Physics (TN-IMF) på forfatter "Evje, Steinar"
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Can cancer cells inform us about the tumor microenvironment?
Nævdal, Geir; Evje, Steinar (Peer reviewed; Journal article, 2023)Characteristics of the tumor microenvironment (TME) such as the leaky intratumoral vascular network and the density and composition of the desmoplastic extracellular matrix (ECM) contain essential information that determine ... -
Identification of nonlinear conservation laws for multiphase flow based on Bayesian inversion
Evje, Steinar; Skadsem, Hans Joakim; Nævdal, Geir (Peer reviewed; Journal article, 2023)Conservation laws of the generic form ct+f(c)x=0 play a central role in the mathematical description of various engineering related processes. Identification of an unknown flux function f(c) from observation data in space ... -
Identification of the flux function of nonlinear conservation laws with variable parameters
Li, Qing; Geng, Jiahui; Evje, Steinar (Peer reviewed; Journal article, 2023-09)Machine learning methods have in various ways emerged as a useful tool for modeling the dynamics of physical systems in the context of partial differential equations (PDEs). Nonlinear conservation laws (NCLs) of the form ... -
An Investigation of Second-Order Finite Volume Methods for Field-scale Reservoir Simulation
Kvashchuk, Anna (PhD thesis UiS;, Doctoral thesis, 2024)This thesis focuses on improving the accuracy of numerical simulation of flow in subsurface reservoirs by using second-order finite volume methods. The first-order finite volume method, commonly used in reservoir simulation, ... -
Learning the nonlinear flux function of a hidden scalar conservation law from data
Li, Qing; Evje, Steinar (Peer reviewed; Journal article, 2023-10)Nonlinear conservation laws are widely used in fluid mechanics, biology, physics, and chemical engineering. However, deriving such nonlinear conservation laws is a significant and challenging problem. A possible attractive ... -
Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow
Evje, Steinar; Winkler, Michael (Peer reviewed; Journal article, 2020-04)Recent experimental work has revealed that interstitial fluid flow can mobilize two types of tumor cell migration mechanisms. One is a chemotactic-driven mechanism where chemokine (chemical component) bounded to the ... -
Mathematical and Numerical Aspects of Scalar Nonlinear Conservation Laws
Bhatti, Farrukh Abbas (Master thesis, 2023)This thesis delves deeply into numerical solutions to nonlinear conservation laws. It focuses largely on the Method of Characteristics, its application in solving conservation laws, and the implementation of solutions in ...