THE LINEARIZED 3D EULER EQUATIONS WITH INFLOW, OUTFLOW

被引：1

作者：

Gie, Gung-min ^{[1
]}

Kelliher, James P. ^{[2
]}

Mazzucato, Anna L. ^{[3
]}

机构：

[1] Univ Louisville, Dept Math, Louisville, KY 40292 USA

[2] Univ Calif Riverside, Dept Math, 900 Univ Ave, Riverside, CA 92521 USA

[3] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2023年 / 28卷 / 5-6期

基金：

新加坡国家研究基金会; 美国国家科学基金会; 英国工程与自然科学研究理事会;

关键词：

DOMAINS;

D O I：

10.57262/ade028-0506-373

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 1983, Antontsev, Kazhikhov, and Monakhov published a proof of the existence and uniqueness of solutions to the 3D Euler equations in which on certain inflow boundary components fluid is forced into the domain while on other outflow components fluid is drawn out of the domain. A key tool they used was the linearized Euler equations in vorticity form. We extend their result on the linearized problem to multiply connected domains and establish compatibility conditions on the initial data that allow higher regularity solutions.

引用

页码：373 / 412

页数：40

共 50 条

[21] Towards a sufficient criterion for collapse in 3D Euler equations
Kuznetsov, EA
[J]. PHYSICA D-NONLINEAR PHENOMENA, 2003, 184 (1-4) : 266 - 275
[22] Potentially singular solutions of the 3D axisymmetric Euler equations
Luo, Guo
Hou, Thomas Y.
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2014, 111 (36) : 12968 - 12973
[23] On the Local Type I Conditions for the 3D Euler Equations
Dongho Chae
Jörg Wolf
[J]. Archive for Rational Mechanics and Analysis, 2018, 230 : 641 - 663
[24] A LEVEL SET FORMULATION FOR THE 3D INCOMPRESSIBLE EULER EQUATIONS
Deng, Jian
Hou, Thomas Y.
Yu, Xinwei
[J]. METHODS AND APPLICATIONS OF ANALYSIS, 2005, 12 (04) : 427 - 440
[25] Desingularization of 3D steady Euler equations with helical symmetry
Cao, Daomin
Wan, Jie
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023, 62 (09)
[26] The 3D compressible Euler equations with damping in a bounded domain
Pan, Ronghua
Zhao, Kun
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (02) : 581 - 596
[27] Self-similar singularities of the 3D Euler equations
He, XY
[J]. APPLIED MATHEMATICS LETTERS, 2000, 13 (05) : 41 - 46
[28] SOLUTION OF EULER EQUATIONS WITH UNSTRUCTURED MESH - 3D CASE
MORTCHELEWICZ, GD
[J]. RECHERCHE AEROSPATIALE, 1991, (06): : 17 - 25
[29] Deformation and Symmetry in the Inviscid SQG and the 3D Euler Equations
Chae, Dongho
Constantin, Peter
Wu, Jiahong
[J]. JOURNAL OF NONLINEAR SCIENCE, 2012, 22 (05) : 665 - 688
[30] Desingularization of 3D steady Euler equations with helical symmetry
Daomin Cao
Jie Wan
[J]. Calculus of Variations and Partial Differential Equations, 2023, 62

← 1 2 3 4 5 →