Blar i Publikasjoner fra CRIStin - NTNU på tidsskrift "SIAM Journal on Mathematical Analysis"
Viser treff 1-10 av 10
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The Complex-Scaled Half-Space Matching Method
(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
(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
(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
(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
(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
(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
(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
(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 ... -
On fully nonlinear parabolic mean field games with examples of nonlocal and local diffusions
(Journal article, 2024)We introduce a class of fully nonlinear mean field games posed in [0, T ] \times \BbbR d. Wejustify that they are related to controlled local or nonlocal diffusions, and more generally in oursetting, to a new control ... -
Optimal shapes for tree roots
(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 ...