Výsledky vyhledávání - "Saintier, Nicolas"

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High Resolution Finite Difference Schemes for a Size Structured Coagulation-Fragmentation Model in the Space of Radon Measures

Autor: Ackleh, Azmy S., Lyons, Rainey, Saintier, Nicolas

In this paper we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space of Radon measures. We prove the convergence of each of the two schemes

Externí odkaz: http://arxiv.org/abs/2303.11433

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Non-local equations and optimal Sobolev inequalities on compact manifolds

Autor: Rey, Carolina, Saintier, Nicolas

This paper deals with fractional Sobolev spaces on a compact Riemannian manifold. We prove a Sobolev inequality in the critical range with an optimal constant for these fractional Sobolev spaces. We use this result to study the existence of a non-tri

Externí odkaz: http://arxiv.org/abs/2209.12357

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Opinion formation process in a hierarchical society

Autor: Longar, María Celeste Romero, Saintier, Nicolas, Silva, Analía

In this work we study the formation of consensus in a hierarchical population. We derive the corresponding kinetic equations, and analyze the long time behaviour of their solutions for the case of finite number of hierarchical obtaining explicit form

Externí odkaz: http://arxiv.org/abs/2207.01727

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