Uniqueness and energy balance for isentropic Euler equation with stochastic forcing

被引：1
|
作者：
Ghoshal, Shyam Sundar [1 ]
Jana, Animesh [1 ]
Sarkar, Barun [1 ,2 ]
机构：
[1] Tata Inst Fundamental Res, Ctr Applicable Math, Bangalore 560065, Karnataka, India
[2] Indian Stat Inst, Bangalore Ctr, 8th Mile Mysore Rd, Bangalore 560059, Karnataka, India
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2021年 / 61卷
关键词：
Stochastic isentropic Euler system; Pathwise weak solution; Uniqueness; Besov space; Energy balance; Onsager's conjecture; NAVIER-STOKES EQUATIONS; COMPRESSIBLE EULER; DISSIPATIVE SOLUTIONS; WEAK SOLUTIONS; CONSERVATION; CONJECTURE; DRIVEN;
D O I：
10.1016/j.nonrwa.2021.103328
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we prove uniqueness and energy balance for isentropic Euler system driven by a cylindrical Wiener process. Pathwise uniqueness result is obtained for weak solutions having Holder regularity C-alpha, alpha > 1/2 in space and satisfying one-sided Lipschitz bound on velocity. We prove Onsager's conjecture for isentropic Euler system with stochastic forcing, that is, energy balance equation for solutions enjoying Hiilder regularity C-alpha, alpha > 1/3. Both the results have been obtained in a more general setting by considering regularity in Besov space. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：18
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