GLOBAL EXISTENCE AND OPTIMAL TIME DECAY FOR THE BAER-NUNZIATO MODEL IN THE Lp CRITICAL BESOV SPACE

被引：0
|
作者：
Zhu, Limin
Cao, Hongmei [1 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Sch Math, Nanjing 210016, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 10期
基金：
中国国家自然科学基金;
关键词：
The Baer-Nunziato model; Global existence; Optimal decay estimates; Critical Besov spaces; NAVIER-STOKES EQUATIONS; 2-PHASE FLOW MODEL; BLOW-UP CRITERION; GAS-LIQUID MODEL; WEAK SOLUTIONS; CONVERGENCE-RATES; WELL-POSEDNESS; INCOMPRESSIBLE LIMIT; ASYMPTOTIC-BEHAVIOR; SYSTEM;
D O I：
10.3934/dcdsb.2024041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are devoted to the study of the compressible viscous Baer-Nunziato (BN) system in multi -dimensional spaces with d >= 2. Compared to previous findings, the (BN) system for compressible two-phase flows is led in two pressure state laws that vary with different phases. This property adds a practical physics background to this model. We will investigate the global existence of strong solutions to the Cauchy problem within the L-p critical regularity framework. Furthermore, we develop a Lyapunovtype energy argument that provides time-decay estimates of solutions without requiring additional smallness assumptions.
引用
收藏
页码：4228 / 4268
页数：41
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