Partially congested propagation fronts in one-dimensional Navier-Stokes equations

被引：0

作者：

Dalibard, Anne-Laure ^{[1
]}

Perrin, Charlotte ^{[2
]}

机构：

[1] Univ Paris Diderot SPC, Sorbonne Univ, CNRS, LJLL, F-75005 Paris, France

[2] Aix Marseille Univ, CNRS, Cent Marseille, I2M, Aix En Provence, France

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2021年 / 7卷 / 02期

基金：

美国国家科学基金会; 欧洲研究理事会;

关键词：

Navier-Stokes equations; Free boundary problem; Traveling waves; Nonlinear stability; STABILITY; MODEL; WAVE;

D O I：

10.1007/s41808-021-00131-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

These notes are dedicated to the analysis of the one-dimensional free-congested Navier-Stokes equations. After a brief synthesis of the results obtained in Dalibard and Perrin (Commun Math Sci 18(7):1775-1813, 2020) related to the existence and the asymptotic stability of partially congested profiles associated to the soft congestion Navier-Stokes system, we present a first local well-posedness result for the one-dimensional free-congested Navier-Stokes equations.

引用

页码：491 / 507

页数：17

共 50 条

[21] Exponential Decay in Time of Density of One-dimensional Quantum Navier-Stokes Equations
Jian-wei Dong
Guang-pu Lou
Jun-hui Zhu
Yong Yang
Acta Mathematicae Applicatae Sinica, English Series, 2018, 34 : 792 - 797
[22] Exponential Decay in Time of Density of One-dimensional Quantum Navier-Stokes Equations
Jian-wei DONG
Guang-pu LOU
Jun-hui ZHU
Yong YANG
Acta Mathematicae Applicatae Sinica, 2018, 34 (04) : 792 - 797
[23] On one-dimensional compressible Navier-Stokes equations for a reacting mixture in unbounded domains
Li, Siran
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (05):
[24] Navier-Stokes Equations for Low-Temperature One-Dimensional Quantum Fluids
Urichuk, Andrew
Scopa, Stefano
De Nardis, Jacopo
PHYSICAL REVIEW LETTERS, 2024, 132 (24)
[25] Modeling digital pulse waveforms by solving one-dimensional Navier-Stokes equations
Fedotov, Aleksandr A.
Akulova, Anna S.
Akulov, Sergey A.
2016 38TH ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY (EMBC), 2016, : 3547 - 3550
[26] DYNAMICS OF VACUUM STATES FOR ONE-DIMENSIONAL FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS
Duan, Ben
Luo, Zhen
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (06) : 2543 - 2564
[27] One class of partially invariant solutions of the Navier-Stokes equations
S. V. Meleshko
V. V. Pukhnachev
Journal of Applied Mechanics and Technical Physics, 1999, 40 (2) : 208 - 216
[28] Quotient and Solutions of the One-Dimensional Navier-Stokes System
Duyunova, A. A.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (10) : 2739 - 2745
[29] GLOBAL EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE
王淑娟
赵俊宁
ActaMathematicaScientia, 2010, 30 (06) : 1889 - 1905
[30] GLOBAL EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE
Wang Shujuan
Zhao Junning
ACTA MATHEMATICA SCIENTIA, 2010, 30 (06) : 1889 - 1905

← 1 2 3 4 5 →