output
20032026
most citedEuler and Chebyshev: From the sphere to the plane and backwards

12 citations

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5 papers · 2 filters

math.AP2021

Spectral asymptotics for the vectorial damped wave equation

Guillaume Klein

The eigenfrequencies associated to a scalar damped wave equation are known to belong to a band parallel to the real axis. In [Sj{ö}00] J. Sj{ö}strand showed that up to a set of den…

math.AP2021

Orbital Stability Of A Sum Of Solitons And Breathers Of The Modified Korteweg-de Vries Equation

Alexander Semenov

In this article, we prove that a sum of solitons and breathers of the modified Korteweg-de Vries equation (mKdV) is orbitally stable. The orbital stability is shown in H^2. More pr…

math.AP2021

On existence and uniqueness of asymptotic -soliton-like solutions of the nonlinear klein-gordon equation

Xavier Friederich

We are interested in solutions of the nonlinear Klein-Gordon equation (NLKG) in , , which behave as a soliton or a sum of solitons in large time. In the sp…

math.AP2021

Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate

Idriss Mazari, Grégoire Nadin, Yannick Privat

In this article, we give an in-depth analysis of the problem of optimising the total population size for a standard logistic-diffusive model. This optimisation problem stems from t…

math.AP2021

On absolutely continuous curves in the Wasserstein space over R and their representation by an optimal Markov process

Charles Boubel, Nicolas Juillet

Let = (t)tR be a 1-parameter family of probability measures on R. In [11] we introduced its ``Markov-quantile''process: a process X= (Xt)tR that resembles as much…