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.

collaborating institutions

Showing 2016 · math.APShow all

8 papers · 2 filters

math.AP2016★ 15 cited

A Lipschitz metric for the Hunter-Saxton equation

José Antonio Carrillo, Katrin Grunert, Helge Holden

We analyze stability of conservative solutions of the Cauchy problem on the line for the (integrated) Hunter-Saxton (HS) equation. Generically, the solutions of the HS equation dev…

math.AP2016★ 14 cited

Existence and Lipschitz stability for $α$ -dissipative solutions of the two-component Hunter-Saxton system

Katrin Grunert, Anders Nordli

We establish the concept of $α$ -dissipative solutions for the two-component Hunter-Saxton system under the assumption that either $α (x) = 1$ or $0 \leq α (x) < 1$ for all $x\in \mathbb{R…

math.AP2016

Weak solutions to a two-phase thin film model with insoluble surfactant driven by capillary effects

Gabriele Bruell

Of concern is the study of a system of three equations describing the motion of a viscous complete wetting two-phase thin film endowed with a layer of insoluble surfactant on the s…

math.AP2016★ 38 cited

Symmetry and decay of traveling wave solutions to the Whitham equation

Gabriele Bruell, Mats Ehrnström, Long Pei

This paper is concerned with decay and symmetry properties of solitary wave solutions to a nonlocal shallow water wave model. It is shown that all supercritical solitary wave solut…

math.AP2016★ 29 cited

Statistical solutions of hyperbolic conservation laws I: Foundations

Ulrik Skre Fjordholm, Samuel Lanthaler, Siddhartha Mishra

We seek to define statistical solutions of hyperbolic systems of conservation laws as time-parametrized probability measures on $p$ -integrable functions. To do so, we prove the equ…

math.AP2016★ 57 cited

On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation

Mats Ehrnstrom, Erik Wahlén

We consider the Whitham equation $u_{t} + 2 u u_{x} + L u_{x} = 0$ , where L is the nonlocal Fourier multiplier operator given by the symbol $m (ξ) = tanh ξ / ξ$ . G. B. Whitham conjectur…

math.AP2016

Superposition in the $p$ -Laplace Equation

Karl K. Brustad

That a superposition of fundamental solutions to the $p$ -Laplace Equation is $p$ -superharmonic -- even in the non-linear cases $p > 2$ -- has been known since M. Crandall and J. Zhan…

math.AP2016★ 8 cited

On the Time Derivative in a Quasilinear Equation

Peter Lindqvist

The time derivative (in the sense of distributions) of the solutions to the Evolutionary p-Laplace Equation is proved to be a function in a local Lebesgue space.