Department of Mathematics
Recent Submissions
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A Unified Compositional Flow Model for Simulating Multiphase High-Enthalpy Geothermal Reservoirs
(Stanford Geothermal Workshop;, Chapter, 2025)Simulating high-enthalpy geothermal reservoirs poses significant challenges due to the complex interactions between multicomponent, multiphase geothermal fluids influenced by varying pressure, temperature, and other physical ... -
Wave-driven current and vortex patterns at an open beach: Insights from phase-resolving numerical computations and Lagrangian measurements
(Journal article; Peer reviewed, 2024)Wave-driven currents have a substantial impact on local circulation patterns in and across the surf zone, and are responsible for cross-shore and longshore exchange of mass and momentum over a broad range of spatial and ... -
The multiplicative structures on motivic homotopy groups
(Journal article; Peer reviewed, 2024)We reconcile the multiplications on the homotopy rings of motivic ring spectra used by Voevodsky and Dugger. While the connection is elementary and similar phenomena have been observed in situations like supersymmetry, ... -
Eight Times Four Bialgebras of Hypergraphs, Cointeractions, and Chromatic Polynomials
(Journal article; Peer reviewed, 2024)The bialgebra of hypergraphs, a generalization of W. Schmitt’s Hopf algebra of graphs [25], is shown to have a cointeracting bialgebra structure, giving a double bialgebra in the sense of L. Foissy, who has recently proven ... -
Dispersive Wave Focusing on a Shear Current: Part 1—Linear Approximations
(Journal article; Peer reviewed, 2024)We consider the evolution and kinematics during dispersive focussing, for a group of waves propagating atop currents varying with depth. Our analysis assumes long-crested linear waves propagating at arbitrary angles relative ... -
Convergence of a continuous Galerkin method for hyperbolic-parabolic systems
(Journal article; Peer reviewed, 2024)We study the numerical approximation by space-time finite element methods of a coupled hyperbolic-parabolic system modeling, for instance, poro- and thermoelasticity. The equations are rewritten as a first-order system in ... -
Self-supervised feature learning for acoustic data analysis
(Journal article; Peer reviewed, 2024)Acoustic surveys play a pivotal role in fisheries management. During the surveys, acoustic signals are sent into the water and the strength of the reflection, so-called backscatter, is recorded. The collected data are ... -
Connecting Species-Specific Extents of Genome Reduction in Mitochondria and Plastids
(Journal article; Peer reviewed, 2024)Mitochondria and plastids have both dramatically reduced their genomes since the endosymbiotic events that created them. The similarities and differences in the evolution of the two organelle genome types have been the ... -
The Nitroplast and Its Relatives Support a Universal Model of Features Predicting Gene Retention in Endosymbiont and Organelle Genomes
(Journal article; Peer reviewed, 2024)Endosymbiotic relationships have shaped eukaryotic life. As endosymbionts coevolve with their host, toward full integration as organelles, their genomes tend to shrink, with genes being completely lost or transferred to ... -
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 ... -
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 ... -
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 ...
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