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- Centre National de la Recherche ScientifiqueFR147 papers
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92 papers · 1 filter
Existence of Traveling Waves in Infinite Range FPUT Lattices
Michael Herrmann, Karsten Matthies, Jan-Patrick Meyer
We prove the existence of solitary waves in a lattice where all particles interact with each other by pair-wise repulsive forces that decay with distance. The variational existence…
Fronts in dissipative Fermi-Pasta-Ulam-Tsingou chains
Michael Herrmann, Guillaume James, Karsten Matthies
In a dissipative Fermi-Pasta-Ulam-Tsingou chain particles interact with their nearest neighbors through anharmonic potentials and linear dissipative forces. We prove the existence…
Minimisers of supremal functionals and mass-minimising 1-currents
Nikos Katzourakis, Roger Moser
We study vector-valued functions that minimise the -norm of their derivatives for prescribed boundary data. We construct a vector-valued, mass minimising -current (i.e…
Variational problems in involving semilinear second order differential operators
Nikos Katzourakis, Roger Moser
For an elliptic, semilinear differential operator of the form , consider the functional . We st…
Analysis of nonlinear poroviscoelastic flows with discontinuous porosities
Markus Bachmayr, Simon Boisserée, Lisa Maria Kreusser
Existence and uniqueness of solutions is shown for a class of viscoelastic flows in porous media with particular attention to problems with nonsmooth porosities. The considered mod…
Damping versus oscillations for a gravitational Vlasov-Poisson system
Mahir Hadzic, Gerhard Rein, Matthew Schrecker +1
We consider a family of isolated inhomogeneous steady states to the gravitational Vlasov-Poisson system with a point mass at the centre. They are parametrised by the polytropic ind…