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

页码：4228 / 4268

页数：41

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