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- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Gran SassoIT502 papers
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8 papers · 2 filters
Waves and Diffusion on Metric Graphs with General Vertex Conditions
Klaus-Jochen Engel, Marjeta Kramar Fijavž
We prove well-posedness for very general linear wave- and diffusion equations on compact or non-compact metric graphs allowing various different conditions in the vertices. More pr…
Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization
Luigi C. Berselli, Simone Fagioli, Stefano Spirito
We prove that weak solutions obtained as limits of certain numerical space-time discretizations are suitable in the sense of Scheffer and Caffarelli-Kohn-Nirenberg. More precisely,…
On the convergence of a fully discrete scheme of LES type to physically relevant solutions of the incompressible Navier-Stokes
Luigi C. Berselli, Stefano Spirito
Obtaining reliable numerical simulations of turbulent fluids is a challenging problem in computational fluid mechanics. The Large Eddy Simulations (LES) models are efficient tools…
On the size of chaos in the mean field dynamics
Thierry Paul, Mario Pulvirenti, Sergio Simonella
We consider the error arising from the approximation of an N-particle dynamics with its description in terms of a one-particle kinetic equation. We estimate the distance between th…
Quasiconvex elastodynamics: weak-strong uniqueness for measure-valued solutions
Konstantinos Koumatos, Stefano Spirito
A weak-strong uniqueness result is proved for measure-valued solutions to the system of conservation laws arising in elastodynamics. The main novelty brought forward by the present…
On a free boundary problem for polymeric fluids: Global existence of weak solutions
Donatella Donatelli, Konstantina Trivisa
We investigate the stability and global existence of weak solutions to a free boundary problem governing the evolution of polymeric fluids. We construct weak solutions of the two-p…