Martingale solutions to the stochastic thin-film equation in two dimensions

被引：1
|
作者：
Sauerbrey, Max [1 ]
机构：
[1] Delft Univ Technol, Delft Inst Appl Math, NL-2628 CD Delft, Netherlands
来源：
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2024年 / 60卷 / 01期
关键词：
Thin-film equation; Noise; alpha-Entropy estimates; Stochastic compactness method; EXISTENCE;
D O I：
10.1214/22-AIHP1328
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We construct solutions to the stochastic thin-film equation with quadratic mobility and Stratonovich gradient noise in the physically relevant dimension d = 2 and allow in particular for solutions with non -full support. The construction relies on a Trotter- Kato time -splitting scheme, which was recently employed in d = 1. The additional analytical challenges due to the higher spatial dimension are overcome using alpha-entropy estimates and corresponding tightness arguments.
引用
收藏
页码：373 / 412
页数：40
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