A microscopic model for a one parameter class of fractional Laplacians with Dirichlet boundary conditions

DOI10.1007/s00205-020-01549-9zbMath1456.35210arXiv1803.00792OpenAlexW3041112899MaRDI QIDQ2219470

B. Jiménez-Oviedo, Cédric Bernardin, Patrícia C. Gonçalves

Publication date: 20 January 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00792

zbMATH Keywords

hydrodynamic limitcollection of fractional reaction-diffusion equationssymmetric exclusion process with long jumps

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Interacting particle systems in time-dependent statistical mechanics (82C22) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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