The hydrostatic Lagrangian approach to the compressible primitive equations

被引：0

作者：

Hieber, Matthias ^{[1
]}

Iida, Yoshiki ^{[2
]}

Roy, Arnab ^{[3
,4
]}

Zoechling, Tarek ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany

[2] Waseda Univ, Grad Sch Fundamental Sci & Engn, Dept Pure & Appl Math, Tokyo 1698555, Japan

[3] Basque Ctr Appl Math BCAM, Alameda Mazarredo 14, Bilbao 48009, Spain

[4] Basque Fdn Sci, IKERBASQUE, Plaza Euskadi 5, Bilbao 48009, Bizkaia, Spain

来源：

MATHEMATISCHE ANNALEN | 2025年 / 392卷 / 02期

关键词：

BOUNDARY-VALUE-PROBLEMS; WEAK SOLUTIONS; ATMOSPHERE; EXISTENCE; DYNAMICS; OCEAN;

D O I：

10.1007/s00208-025-03117-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article develops the hydrostatic Lagrangian approach to the compressible primitive equations. A fundamental aspect in the analysis is the investigation of the compressible hydrostatic Lam & eacute; and Stokes operators. Local strong well-posedness for large data and global strong well-posedness for small data are established under various assumptions on the pressure law, both in the presence and absence of gravity.

引用

页码：2277 / 2308

页数：32

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