Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på tidsskrift "SIAM Journal on Mathematical Analysis"

Viser treff 1-9 av 9

    • The Complex-Scaled Half-Space Matching Method 

      BONNET-BEN DHIA, Anne-Sophie; Chandler-Wilde, Simon; Fliss, Sonia; Hazard, Christophe; Perfekt, Karl-Mikael; TJANDRAWIDJAJA, Yohanes (Peer reviewed; Journal article, 2022)
      The half-space matching (HSM) method has recently been developed as a new method for the solution of two-dimensional scattering problems with complex backgrounds, providing an alternative to perfectly matched layers or ...

    • Enhanced existence time of solutions to the fractional Korteweg de Vries equation 

      Ehrnstrom, Mats; Wang, Yuexun (Peer reviewed; Journal article, 2019)
      We consider the fractional Korteweg–de Vries equation ut+ uux−|D| αux = 0 in the range of −1 < α < 1, α 6= 0. Using basic Fourier techniques in combination with the modified energy method we extend the existence time of ...

    • Existence of Davey–Stewartson type solitary waves for the fully dispersive Kadomtsev–Petviashvilii equation 

      Ehrnstrom, Mats; Nilsson, Dag; Groves, Mark D (Peer reviewed; Journal article, 2022)
      We prove the existence of small-amplitude modulated solitary waves for the full-dispersion Kadomtsev--Petviashvilii (FDKP) equation with weak surface tension. The resulting waves are small-order perturbations of scaled, ...

    • Global bifurcation of waves with multiple critical layers 

      Varholm, Kristoffer (Journal article; Peer reviewed, 2020)
      Analytic global bifurcation theory is used to construct a large variety of families of steady periodic two-dimensional gravity water waves with real-analytic vorticity distributions, propagating in an incompressible fluid. ...

    • Infinitely Many Embedded Eigenvalues for the Neumann-Poincaré Operator in 3D 

      Li, Wei; Perfekt, Karl-Mikael; Shipman, Stephen (Peer reviewed; Journal article, 2022)
      This article constructs a surface whose Neumann--Poincaré (NP) integral operator has infinitely many eigenvalues embedded in its essential spectrum. The surface is a sphere perturbed by smoothly attaching a conical ...

    • Instability of the solitary waves for the generalized Boussinesq equations 

      Li, Bing; Ohta, Masahito; Wu, Yifei; Xue, Jun (Peer reviewed; Journal article, 2020)
      In this work, we consider the following generalized Boussinesq equation \begin{align*} \partial_{t}^2u-\partial_{x}^2u+\partial_{x}^2(\partial_{x}^2u+|u|^{p}u)=0,\qquad (t,x)\in\R\times \R, \end{align*} with $0<p<\infty$. ...

    • L1 contraction for bounded (nonintegrable) solutions of degenerate parabolic equations 

      Endal, Jørgen; Jakobsen, Espen Robstad (Journal article; Peer reviewed, 2014-12-11)
      We obtain new L1 contraction results for bounded entropy solutions of Cauchy problems for degenerate parabolic equations. The equations we consider have possibly strongly degenerate local or nonlocal diffusion terms. As ...

    • Models for dense multilane vehicular traffic 

      Risebro, Nils Henrik; Holden, Helge (Journal article; Peer reviewed, 2019)
      We study vehicular traffic on a road with multiple lanes and dense, unidirectional traffic following the traditional Lighthill--Whitham--Richards model where the velocity in each lane depends only on the density in the ...

    • Optimal shapes for tree roots 

      Bressan, Alberto; Galtung, Sondre Tesdal; Sun, Qing (Journal article, 2022)
      The paper studies a class of variational problems, modeling optimal shapes for tree roots. Given a measure μ describing the distribution of root hair cells, we seek to maximize a harvest functional H , computing the ...