Department of Mathematics
Recent Submissions
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Weak solvability of elliptic variational inequalities coupled with a nonlinear differential equation
(Journal article; Peer reviewed, 2025)In this paper we establish existence, uniqueness, and boundedness results for an elliptic variational inequality coupled with a nonlinear ordinary differential equation. Under the general framework, we present a new ... -
Well-posedness of evolutionary differential variational–hemivariational inequalities and applications to frictional contact mechanics
(Journal article; Peer reviewed, 2024)In this paper, we study the well-posedness of a class of evolutionary variational–hemivariational inequalities coupled with a nonlinear ordinary differential equation in Banach spaces. The proof is based on an iterative ... -
Geographical distribution of close kin in southern right whales on feeding grounds
(Journal article; Peer reviewed, 2024)This study investigated the close kinship structure of southern right whales on feeding grounds during austral summer seasons. The study was based on biopsy samples of 171 individual whales, which were genotyped with 14 ... -
Biot's poro-elasticity system with dynamic permeability convolution: Well-posedness for evolutionary form
(Journal article; Peer reviewed, 2024)We consider Biot’s equations of poroelasticity where the development of viscous boundary layers in the pores is allowed for by using a dynamic permeability convolution operator in the time domain. This system with memory ... -
Stokes drift and particle trajectories induced by surface waves atop a shear flow
(Journal article; Peer reviewed, 2024)Surface waves and currents are crucial to the mass transfer in the air-sea interaction as they can drive a variety of dynamical processes. How mass can be transported by surface waves and current coupling is addressed ... -
Controllability and diffeomorphism groups on manifolds with boundary
(Journal article; Peer reviewed, 2024)In this article we consider diffeomorphism groups of manifolds with smooth boundary. We show that the diffeomorphism groups of the manifold and its boundary fit into a short exact sequence which admits local sections. In ... -
A line search algorithm for multiphysics problems with fracture deformation
(Journal article, 2024)Models for multiphysics problems often involve significant nonlinearities. When fracture contact mechanics are incorporated, discontinuous derivatives arise at the interfaces between open and closed fractures, or between ... -
Splitting schemes for coupled differential equations: Block Schur-based approaches & Partial Jacobi approximation[Formula presented]
(Journal article; Peer reviewed, 2024)Coupled multi-physics problems are encountered in countless applications and pose significant numerical challenges. In a broad sense, one can categorise the numerical solution strategies for coupled problems into two ... -
Polariseringer av artinske monomidealer assosiert til simplisielle komplekser
(Master thesis, 2024-12-03) -
Matematisk forståelse ved språk, representasjon og resonnering
(Master thesis, 2024-10-25) -
Detection and Size Identification of Individual Grains from Geological Images
(Master thesis, 2024-11-20)In this thesis, we focus on identifying the grain size distribution from geological images of model geometries. Since grain size can be interpreted as a scale or frequency, we employ the Fourier transform and continuous ... -
Data-based methods for analysing single-point ocean wave measurements
(Master thesis, 2024-11-18)This master’s thesis aims to enhance techniques for understanding, modelling, and predicting ocean surface processes using undersampled data and incomplete information about the system’s state and physical principles. Using ... -
Finite element method for degenerate mixed dimensional flow problem in porous media
(Master thesis, 2024-11-20) -
Testing for time-varying nonlinear dependence structures: Regime-switching and local Gaussian correlation
(Journal article; Peer reviewed, 2024)This paper examines nonlinear and time-varying dependence structures between a pair of stochastic variables, using a novel approach which combines regime-switching models and local Gaussian correlation (LGC). We propose ... -
A conservative stochastic Dirac-Klein-Gordon system
(Journal article; Peer reviewed, 2024)Considered herein is a particular nonlinear dispersive stochastic system consisting of Dirac and Klein-Gordon equations. They are coupled by nonlinear terms due to the Yukawa interaction. We consider a case of homogeneous ... -
Sparse Bayesian learning using TMB (Template Model Builder)
(Journal article; Peer reviewed, 2024)Sparse Bayesian Learning, and more specifically the Relevance Vector Machine (RVM), can be used in supervised learning for both classification and regression problems. Such methods are particularly useful when applied to ... -
Effects of a surface layer cross-flow and slope steepness on the rate of descent of dense water flows along a slope
(Journal article; Peer reviewed, 2024)The pathways and mixing in dense water overflows have been addressed in a range of numerical studies based on the DOME (Dynamics of Overflow Mixing and Entrainment) setup. These studies are motivated by overflows such as ... -
Applications of topological cyclic homology to algebraic K-theory
(Journal article; Peer reviewed, 2023) -
On connection algebras of symmetric spaces and reductive homogeneous spaces
(Doctoral thesis, 2024-10-25)Betrakt en glatt reell mangofldighet med en affin kobling. Denne koblingen former en algebra over vektorrommet av glatte seksjoner av tangentbunten. Vi kaller denne algebraen for koblingsalgebraen. Runge-Kutta-metoder ... -
Mathematical Modelling of Cellular and Evolutionary Processes in Changing Environments
(Doctoral thesis, 2024-10-25)Endrende miljøer er av sentral betydning i biologi, siden egenskapene og atferdene til alle organismer, fra bakterier til dyr, formes av hvor de lever. Dermed er organismer slik de er fordi de tidligere har tilpasset seg ...
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