Norwegian University of Science and Technology

output

19922026

most citedSpecificity and stability in topology of protein networks

3.1k citations

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

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Showing 2015 · math.APShow all

10 papers · 2 filters

math.AP2015

The Riemann Solver for Traffic Flow at an Intersection with Buffer of Vanishing Size

Alberto Bressan, Anders Nordli

The paper examines the model of traffic flow at an intersection introduced in [2], containing a buffer with limited size. As the size of the buffer approach zero, it is proved that…

math.AP2015★ 3 cited

Isentropic Fluid Dynamics in a Curved Pipe

Rinaldo M. Colombo, Helge Holden

In this paper we study isentropic flow in a curved pipe. We focus on the consequences of the geometry of the pipe on the dynamics of the flow. More precisely, we present the soluti…

math.AP2015★ 8 cited

On the Burgers-Poisson Equation

Katrin Grunert, Khai T. Nguyen

In this paper, we prove the existence and uniqueness of weak entropy solutions to the Burgers-Poisson equation for initial data in L^1(R). Additional an Oleinik type estimate is es…

math.AP2015★ 8 cited

Solutions of the Camassa-Holm equation with accumulating breaking times

Katrin Grunert

We present two initial profiles to the Camassa-Holm equation which yield solutions with accumulating breaking times.

math.AP2015

Lower bounds on the radius of spatial analyticity for the KdV equation

Sigmund Selberg, Daniel Oliveira Da Silva

We present estimates for the radius of analyticity of solutions to the Korteweg-de Vries equation, which improve earlier results due to Bona, Grujić and Kalisch.

math.AP2015★ 11 cited

Traveling gravity water waves with critical layers

Ailo Aasen, Kristoffer Varholm

We establish the existence of small-amplitude uni- and bimodal steady periodic gravity waves with an affine vorticity distribution, using a bifurcation argument that differs slight…

math.AP2015★ 10 cited

Ratios of harmonic functions with the same zero set

Alexander Logunov, Eugenia Malinnikova

We study the ratio of harmonic functions $u, v$ , which have the same zero set $Z$ in the unit ball $B \subset R^{n}$ . The ratio $f = u / v$ can be extended to a real analytic nowh…

math.AP2015★ 1 cited

Unbounded Supersolutions of Some Quasilinear Parabolic Equations: a Dichotomy

Juha Kinnunen, Peter Lindqvist

We study unbounded (viscosity) supersolutions of the Evolutionary p-Laplace Equation in the slow diffusion case. The supersolutions fall into two widely different classes, dependin…

math.AP2015★ 28 cited

Uniqueness for discrete Schrodinger evolutions

Philippe Jaming, Yurii Lyubarskii, Eugenia Malinnikova +1

We prove that if a solution of the discrete time-dependent Schrödinger equation with bounded real potential decays fast at two distinct times then the solution is trivial. For the…

math.AP2015★ 18 cited

The general peakon-antipeakon solution for the Camassa-Holm equation

Katrin Grunert, Helge Holden

We compute explicitly the peakon-antipeakon solution of the Camassa-Holm equation $u_{t} - u_{t xx} + 3 u u_{x} - 2 u_{x} u_{xx} - u u_{xxx} = 0$ in the non-symmetric and $α$ -dissipative case. The solut…