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 2020 · math.APShow all

9 papers · 2 filters

math.AP2020

Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols

Hung Le

In this paper, we consider a class of nonlocal equations where the convolution kernel is given by a Bessel potential symbol of order for . Based on the properties of the…

math.AP2020★ 2 cited

Density of zero sets for sums of eigenfunctions

Stefano Decio

We consider linear combinations of eigenfunctions of the Laplace-Beltrami operator on a compact Riemannian manifold and investigate a density property of their zero sets. M…

math.AP2020★ 2 cited

Traveling Waves for the Nonlinear Variational Wave Equation

Katrin Grunert, Audun Reigstad

We study traveling wave solutions of the nonlinear variational wave equation. In particular, we show how to obtain global, bounded, weak traveling wave solutions from local, classi…

math.AP2020

A Regularized System for the Nonlinear Variational Wave Equation

Katrin Grunert, Audun Reigstad

We derive a new generalization of the nonlinear variational wave equation. We prove existence of local, smooth solutions for this system. As a limiting case, we recover the nonline…

math.AP2020★ 9 cited

Enhanced existence time of solutions to evolution equations of Whitham type

Mats Ehrnström, Yuexun Wang

We show that Whitham type equations u_t + u u_x -L u_x = 0, where L is a general Fourier multiplier operator of order α\in [-1,1], α\neq 0, allow for small solutions to be extended…

math.AP2020★ 10 cited

Numerical conservative solutions of the Hunter--Saxton equation

Katrin Grunert, Anders Nordli, Susanne Solem

In the article a convergent numerical method for conservative solutions of the Hunter--Saxton equation is derived. The method is based on piecewise linear projections, followed by…

math.AP2020★ 21 cited

The Hunter-Saxton equation with noise

Helge Holden, Kenneth H. Karlsen, Peter H. C. Pang

In this paper we develop an existence theory for the Cauchy problem to the stochastic Hunter-Saxton equatio, and prove several properties of the blow-up of its solutions. An import…

math.AP2020★ 4 cited

A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa-Holm system

Sondre Tesdal Galtung, Xavier Raynaud

We define a kinetic and a potential energy such that the principle of stationary action from Lagrangian mechanics yields a Camassa--Holm system (2CH) as the governing equations. Af…

math.AP2020★ 1 cited

Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness

Dietmar Hömberg, Robert Lasarzik

In this paper, we investigate a model describing induction hardening of steel. The related system consists of an energy balance, an ODE for the different phases of steel, and Maxwe…