Singular limits for stochastic equations

Dirk Blömker, Jonas M. Tölle*

*Tämän työn vastaava kirjoittaja

Tutkimustuotos: LehtiartikkeliArticleScientific

Abstrakti

We study singular limits of stochastic evolution equations in the interplay of disappearing strength of the noise and increasing roughness of the noise, so that the noise in the limit would be too rough to define a solution to the limiting equations. Simultaneously, the limit is singular in the sense that the leading order differential operator may vanish. Although the noise is disappearing in the limit, additional deterministic terms appear due to renormalization effects.

We give an abstract framework for the main error estimates, that first reduce to bounds on a residual and in a second step to bounds on the stochastic convolution. Moreover, we apply it to a singularly regularized Allen-Cahn equation and the Cahn-Hilliard/Allen-Cahn homotopy.
AlkuperäiskieliEnglanti
Sivumäärä23
JulkaisuarXiv.org
TilaJätetty - 20 huhtik. 2022
OKM-julkaisutyyppiB1 Artikkeli tiedelehdessä

Sormenjälki

Sukella tutkimusaiheisiin 'Singular limits for stochastic equations'. Ne muodostavat yhdessä ainutlaatuisen sormenjäljen.

Siteeraa tätä