• Weak solutions and convergent numerical schemes of Brenner-Navier-Stokes equations 

      Svärd, Magnus (Research report, 2015-01-20)
      Lately, there has been some interest in modifications of the compressible Navier-Stokes equations to include diffusion of mass. In this paper, we investigate possible ways to add mass diffusion to the 1-D Navier-Stokes ...
    • The weight spectrum of two families of Reed-Muller codes 

      Carlet, Claude Michael; Solé, Patrick (Journal article; Peer reviewed, 2023)
      We determine the weight spectra of the Reed-Muller codes RM (m− 3, m) for m ≥ 6 and RM (m − 4, m) for m ≥ 8. The technique used is induction on m, using that the sum of two weights in RM (r −1, m−1) is a weight in RM (r, ...
    • Well-posedness and discretization for a class of models for mixed-dimensional problems with high-dimensional gap 

      Hodneland, Erlend; Hu, Xiaozhe; Nordbotten, Jan Martin (Journal article; Peer reviewed, 2021)
      In this work, we show the underlying mathematical structure of mixed-dimensional models arising from the composition of graphs and continuous domains. Such models are becoming popular in applications, in particular, to ...
    • Well-Posedness for a Dispersive System of the Whitham-Boussinesq Type 

      Dinvay, Evgueni; Selberg, Sigmund; Tesfahun, Achenef (Journal article; Peer reviewed, 2020)
      We regard the Cauchy problem for a particular Whitham--Boussinesq system modeling surface waves of an inviscid incompressible fluid layer. We are interested in well-posedness at a very low level of regularity. We derive ...
    • Well-Posedness for a Whitham–Boussinesq System with Surface Tension 

      Dinvay, Evgueni (Journal article; Peer reviewed, 2020)
      We regard the Cauchy problem for a particular Whitham–Boussinesq system modelling surface waves of an inviscid incompressible fluid layer. The system can be seen as a weak nonlocal dispersive perturbation of the shallow ...
    • Well-posedness Issues for Nonlinear Partial Differential Equations Appearing in the Modeling of Long Water Waves 

      Teyekpiti, Vincent (Doctoral thesis, 2018-12-18)
      Modelling of wave motion in a fluid is usually based on classical systems which are obtained by the hypotheses that the flow is irrotational and the bottom is even. In such a context, the influence of vorticity is entirely ...
    • Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport 

      Brun, Mats Kirkesæther; Radu, Florin Adrian; Ahmed, Elyes; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2019-03)
      This paper is concerned with the analysis of the quasi-static thermo-poroelastic model. This model is nonlinear and includes thermal effects compared to the classical quasi-static poroelastic model (also known as Biot's ...
    • What is quantitative plant biology? 

      Autran, Daphné; Bassel, George W.; Chae, Eunyoung; Ezer, Daphne; Ferjani, Ali; Fleck, Christian; Hamant, Olivier; Hartmann, Félix P.; Jiao, Yuling; Johnston, Iain; Kwiatkowska, Dorota; Lim, Boon L.; Mahönen, Ari Pekka; Morris, Richard J.; Mulder, Bela M.; Nakayama, Naomi; Sozzani, Ross; Strader, Lucia C.; Ten Tusscher, Kirsten; Ueda, Minako; Wolf, Sebastian (Journal article; Peer reviewed, 2021)
      Quantitative plant biology is an interdisciplinary field that builds on a long history of biomathematics and biophysics. Today, thanks to high spatiotemporal resolution tools and computational modelling, it sets a new ...
    • The Whitham Equation as a model for surface water waves 

      Moldabayev, Daulet; Kalisch, Henrik; Dutykh, Denys (Peer reviewed; Journal article, 2015-08)
      The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham equation incorporates the full linear ...
    • Who benefits from postponement in multi-period supply channel optimization? 

      Azad Gholami, Reza; Sandal, Leif Kristoffer; Ubøe, Jan (Journal article; Peer reviewed, 2024)
      Duopolistic price-setting supply channels competing in a bilevel framework have been extensively studied in single-period (static) settings. However, such supply channels typically face uncertain and time-varying demand; ...
    • Å omsetje mellom mellom ulike representasjonar av funksjonar. Ei kvalitativ undersøking av elevar sine løysingsstrategiar i matematikkfaget 1P. 

      Floen, Kine Renate (Master thesis, 2018)
      I denne studien har løysingsstrategiar for å omsetje mellom ulike representasjonar av lineære funksjonar vore i fokus. Følgande forskingsspørsmål har vore grunnlag for arbeidet: 1. Kva løysingsstrategiar brukar elevar i ...