Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise

Banas L, Yang H, Zhu R (2022)
Potential Analysis .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
We study the sharp interface limit of the two dimensional stochastic Cahn-Hilliard equation driven by two types of singular noise: a space-time white noise and a space-time singular divergence-type noise. We show that with appropriate scaling of the noise the solutions of the stochastic problems converge to the solutions of the determinisitic Mullins-Sekerka/Hele-Shaw problem.
Stichworte
Stochastic Cahn-Hilliard equation; Singular noise; Sharp interface; limit; Mullins-Sekerka; Hele-Shaw problem
Erscheinungsjahr
2022
Zeitschriftentitel
Potential Analysis
ISSN
0926-2601
eISSN
1572-929X
Page URI
https://pub.uni-bielefeld.de/record/2960722

Zitieren

Banas L, Yang H, Zhu R. Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise. Potential Analysis . 2022.
Banas, L., Yang, H., & Zhu, R. (2022). Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise. Potential Analysis . https://doi.org/10.1007/s11118-021-09976-3
Banas, L., Yang, H., and Zhu, R. (2022). Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise. Potential Analysis .
Banas, L., Yang, H., & Zhu, R., 2022. Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise. Potential Analysis .
L. Banas, H. Yang, and R. Zhu, “Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise”, Potential Analysis , 2022.
Banas, L., Yang, H., Zhu, R.: Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise. Potential Analysis . (2022).
Banas, Lubomir, Yang, Huanyu, and Zhu, Rongchan. “Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise”. Potential Analysis (2022).

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