Blar i Publikasjoner fra CRIStin - NTNU på tidsskrift "Forum of Mathematics, Sigma"
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A continuous interpolation between conservative and dissipative solutions
(Peer reviewed; Journal article, 2015)We introduce a novel solution concept, denoted -dissipative solutions, that provides a continuous interpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system ... -
A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system
(Peer reviewed; Journal article, 2015)We introduce a novel solution concept, denotedα-dissipative solutions, that provides a continuousinterpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system ... -
A Lipschitz metric for the Camassa--Holm equation
(Peer reviewed; Journal article, 2020)We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving ... -
An operadic approach to substitution in Lie-Butcher series
(Peer reviewed; Journal article, 2022)The paper follows an operadic approach to provide a bialgebraic description of substitution for Lie–Butcher series. We first show how the well-known bialgebraic description for substitution in Butcher’s B-series can be ... -
Two-variable fibrations, factorisation systems and -categories of spans
(Peer reviewed; Journal article, 2023)We prove a universal property for ∞-categories of spans in the generality of Barwick’s adequate triples, explicitly describe the cocartesian fibration corresponding to the span functor, and show that the latter restricts ...