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pro vyhledávání: '"Luca Alasio"'
We show that solutions of nonlinear nonlocal Fokker–Planck equations in a bounded domain with no-flux boundary conditions can be approximated by Cauchy problems with increasingly strong confining potentials defined in the whole space. Two different
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df332baf4c8ffd3e044f614ea4f5376f
https://ora.ox.ac.uk/objects/uuid:37801e67-2c67-40bf-9f91-0d5d6fa6f5a3
https://ora.ox.ac.uk/objects/uuid:37801e67-2c67-40bf-9f91-0d5d6fa6f5a3
Autor:
Luca Alasio, Stefano Marchesani
Publikováno v:
Nonlinear Differential Equations and Applications NoDEA. 26
We prove existence and boundedness of classical solutions for a family of viscous conservation laws in one space dimension for arbitrarily large time. The result relies on H. Amann's criterion for global existence of solutions and on suitable uniform
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19bccc236ec10910caaf110c1598224d
https://doi.org/10.1007/s00030-019-0577-3
https://doi.org/10.1007/s00030-019-0577-3
This paper presents new analytical results for a class of nonlinear parabolic systems of partial different equations with small cross-diffusion which describe the macroscopic dynamics of a variety of large systems of interacting particles. Under suit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19b54e137976fd0c1dee2f5e3e31860d
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2018, 52 (3), pp.1109--1135. ⟨10.1051/m2an/2018036⟩
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2018, 52 (3), pp.1109--1135. ⟨10.1051/m2an/2018036⟩
We discuss the analysis and stability of a family of cross-diffusion boundary value problems with nonlinear diffusion and drift terms. We assume that these systems are close, in a suitable sense, to a set of decoupled and linear problems. We focus on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ff4fa73a75115ce53b4f1d2157c8d51
https://hal.archives-ouvertes.fr/hal-02083837
https://hal.archives-ouvertes.fr/hal-02083837
Publikováno v:
Nonlinear Analysis
We prove existence and Sobolev regularity of solutions of a nonlinear system of degenerate-parabolic PDEs with self- and cross-diffusion, transport/confinement and nonlocal interaction terms. The macroscopic system of PDEs is formally derived from a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4cfb861ac0ab2e7caca85dcbdd62c22