4.2 Article

Derivation of viscous Burgers equations from weakly asymmetric exclusion processes

出版社

INST MATHEMATICAL STATISTICS-IMS
DOI: 10.1214/20-AIHP1075

关键词

Viscous Burgers equations; Weakly asymmetric exclusion processes; Incompressible limits

资金

  1. CNPq [305075/2017-9]
  2. FAPERJ [E-29/203.012/2018, CNE E-26/201.207/2014]
  3. ERC through the European Unions Horizon 2020 research and innovative programme [715734]
  4. CNPq Bolsa de Produtividade em Pesquisa [PQ 303538/2014-7]
  5. French National Research Agency [ANR-15-CE400020-01 LSD]
  6. JSPS KAKENHI [18K13426]
  7. Grants-in-Aid for Scientific Research [18K13426] Funding Source: KAKEN

向作者/读者索取更多资源

In the diffusive time-scale, weakly asymmetric exclusion processes with initial density profile as a small perturbation of a constant evolve as the solution of a viscous Burgers equation in all dimensions.
We consider weakly asymmetric exclusion processes whose initial density profile is a small perturbation of a constant. We show that in the diffusive time-scale, in all dimensions, the density defect evolves as the solution of a viscous Burgers equation.

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