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

Banas, Lubomir; Yang, Huanyu; Zhu, Rongchan

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

Banas L, Yang H, Zhu R (2022)
Potential Analysis 59: pages497–518.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch

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DOI

https://doi.org/10.1007/s11118-021-09976-3

URN

urn:nbn:de:0070-pub-29607225

Autor*in

Banas, Lubomir^UniBi; Yang, Huanyu; Zhu, Rongchan^UniBi

Einrichtung

SFB 1283 Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications
Fakultät für Mathematik

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

Band

Seite(n)

pages497–518

Urheberrecht / Lizenzen

Creative Commons Namensnennung 4.0 International Public License (CC-BY 4.0)

ISSN

0926-2601

eISSN

1572-929X

Finanzierungs-Informationen

Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.

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;59:pages497–518.

Banas, L., Yang, H., & Zhu, R. (2022). Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise. Potential Analysis , 59, pages497–518. https://doi.org/10.1007/s11118-021-09976-3

Banas, Lubomir, Yang, Huanyu, and Zhu, Rongchan. 2022. “Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise”. Potential Analysis 59: pages497–518.

Banas, L., Yang, H., and Zhu, R. (2022). Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise. Potential Analysis 59, pages497–518.

Banas, L., Yang, H., & Zhu, R., 2022. Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise. Potential Analysis , 59, p pages497–518.

L. Banas, H. Yang, and R. Zhu, “Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise”, Potential Analysis , vol. 59, 2022, pp. pages497–518.

Banas, L., Yang, H., Zhu, R.: Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise. Potential Analysis . 59, pages497–518 (2022).

Banas, Lubomir, Yang, Huanyu, and Zhu, Rongchan. “Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise”. Potential Analysis 59 (2022): pages497–518.

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