Norwegian University of Science and Technology

output

19922026

most citedSpecificity and stability in topology of protein networks

3.1k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2018 · math.APShow all

14 papers · 2 filters

math.AP2018★ 1 cited

Optimal stability results and nonlinear duality for $L^{\infty}$ entropy and $L^{1}$ viscosity solutions

Nathaël Alibaud, Jørgen Endal, Espen Robstad Jakobsen

We give a new and rigorous duality relation between two central notions of weak solutions of nonlinear PDEs: entropy and viscosity solutions. It takes the form of the nonlinear dua…

math.AP2018

A remark on infinite initial values for quasilinear parabolic equations

Peter Lindqvist, Mikko Parviainen

We study the possibility of prescribing infinite initial values for solutions of the Evolutionary $p$ -Laplace Equation in the fast diffusion case $p > 2$ . This expository note has be…

math.AP2018★ 8 cited

Formation of Singularities of Spherically Symmetric Solutions to the 3D Compressible Euler Equations and Euler-Poisson Equations

Hai-Liang Li, Yuexun Wang

By introducing a new averaged quantity with a fast decay weight to perform Sideris's argument (Commun Math Phys, 1985) developed for the Euler Equations, we extend the formation of…

math.AP2018★ 5 cited

Optimal small data Scattering for the generalized derivative nonlinear Schrödinger equations

Ruobing Bai, Yifei Wu, Jun Xue

In this work, we consider the following generalized derivative nonlinear Schrödinger equation \begin{align*} i\partial_t u+\partial_{xx} u +i |u|^{2σ}\partial_x u=0, \quad (t,x)\in…

math.AP2018★ 15 cited

Solitary wave solutions to a class of Whitham-Boussinesq systems

Dag Nilsson, Yuexun Wang

In this note we study solitary wave solutions of a class of Whitham-Boussinesq systems which includes the bi-directional Whitham system as a special example. The travelling wave ve…

math.AP2018★ 9 cited

Instability of the solitary waves for the generalized Boussinesq equations

Bing Li, Masahito Ohta, Yifei Wu +1

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\ma…

math.AP2018★ 2 cited

A discrete stochastic interpretation of the Dominative $p$ -Laplacian

Karl K. Brustad, Peter Lindqvist, Juan J. Manfredi

The Dominative $p$ -Laplacian is the operator defined for $2 \leq p < \infty$ as follows: \begin{equation}\label{dominativep} \mathcal{L}_{p}u(x)=\frac{1}{p}\left(λ_{1}+\ldots+λ_{N-1}…

math.AP2018

Characterization of nonlocal diffusion operators satisfying the Liouville theorem. Irrational numbers and subgroups of $R^{d}$

Nathaël Alibaud, Félix del Teso, Jørgen Endal +1

We investigate the characterization of generators $L$ of Lévy processes satisfying the Liouville theorem: Bounded functions $u$ solving $L [u] = 0$ are constant. T…

math.AP2018★ 5 cited

Three-dimensional internal gravity-capillary waves in finite depth

Dag Nilsson

We consider three-dimensional inviscid irrotational flow in a two layer fluid under the effects of gravity and surface tension, where the upper fluid is bounded above by a rigid li…

math.AP2018★ 18 cited

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

Mats Ehrnström, Yuexun Wang

We consider the fractional Korteweg-de Vries equation $u_{t} + u u_{x} - ∣ D ∣^{α} u_{x} = 0$ in the range of $- 1 < α < 1$ , $α \neq = 0$ . Using basic Fourier techniques in combination with the modif…

math.AP2018★ 3 cited

Regularity of Solutions of the Parabolic Normalized p-Laplace Equation

Fredrik Arbo Høeg, Peter Lindqvist

The parabolic normalized p-Laplace equation is studied. We prove that a viscosity solution has a time derivative in the sense of Sobolev belonging locally to $L^{2}$ .

math.AP2018★ 20 cited

On the thin film Muskat and the thin film Stokes equations

Gabriele Bruell, Rafael Granero-Belinchón

The present paper is concerned with the analysis of two strongly coupled systems of degenerate parabolic partial differential equations arising in multiphase thin film flows. In pa…

math.AP2018★ 8 cited

Small-amplitude fully localised solitary waves for the full-dispersion Kadomtsev--Petviashvili equation

Mats Ehrnström, Mark Groves

The KP-I equation \[ (u_t-2uu_x+\tfrac{1}{2}(β-\tfrac{1}{3})u_{xxx})_x -u_{yy}=0 \] arises as a weakly nonlinear model equation for gravity-capillary waves with strong surface tens…