High-Frequency Instabilities of the Ostrovsky Equation

被引：1

作者：

Bhavna, Atul ^{[1
]}

Kumar, Atul ^{[1
]}

Pandey, Ashish Kumar ^{[1
]}

机构：

[1] IIIT, Dept Math, Delhi 110020, India

来源：

WATER WAVES | 2022年 / 4卷 / 01期

关键词：

WEAK ROTATION LIMIT; MODULATIONAL INSTABILITY; SOLITARY WAVES; PERIODIC-WAVES; WELL-POSEDNESS; STABILITY; EXISTENCE;

D O I：

10.1007/s42286-021-00054-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the spectral stability of small-amplitude periodic traveling waves of the Ostrovsky equation. We prove that these waves exhibit spectral instabilities arising from a collision of pair of non-zero eigenvalues on the imaginary axis when subjected to square-integrable perturbations on the whole real line. We also list all such collisions between pairs of eigenvalues on the imaginary axis and do a Krein signature analysis.

引用

页码：91 / 108

页数：18

共 50 条

[31] APPLICATION OF THE GYROKINETIC EQUATION TO HIGH-FREQUENCY RF
CHIU, SC
[J]. PLASMA PHYSICS AND CONTROLLED FUSION, 1985, 27 (12B) : 1525 - 1537
[32] GYROKINETIC EQUATION FOR LOW AND HIGH-FREQUENCY PROBLEMS
HITCHCOCK, DA
HAZELTINE, RD
[J]. PLASMA PHYSICS AND CONTROLLED FUSION, 1978, 20 (12) : 1241 - 1252
[33] An analytical equation for the oscillation frequency of high-frequency ring oscillators
Docking, S
Sachdev, M
[J]. IEEE JOURNAL OF SOLID-STATE CIRCUITS, 2004, 39 (03) : 533 - 537
[34] TURBULENCE-INDUCED NOISE EFFECTS ON HIGH-FREQUENCY COMBUSTION INSTABILITIES
CLAVIN, P
KIM, JS
WILLIAMS, FA
[J]. COMBUSTION SCIENCE AND TECHNOLOGY, 1994, 96 (1-3) : 61 - 84
[35] High-frequency instabilities of stationary crossflow vortices in a hypersonic boundary layer
Li, Fei
Choudhari, Meelan
Paredes, Pedro
Duan, Lian
[J]. PHYSICAL REVIEW FLUIDS, 2016, 1 (05):
[36] HIGH-FREQUENCY INSTABILITIES IN PLASMA WITH NONLINEAR IONIC-SONIC WAVE
AREFEV, VI
KIRDYASH.KP
[J]. ZHURNAL TEKHNICHESKOI FIZIKI, 1972, 42 (07): : 1357 - &
[37] High-frequency instabilities and transport processes in the T-10 Tokamak
Morozov, DK
Tsypin, VS
RantsevKartinov, VA
deAssis, AS
deAzevedo, CA
[J]. PLASMA PHYSICS REPORTS, 1997, 23 (08) : 645 - 651
[38] HIGH-FREQUENCY INSTABILITIES IN CYLINDRICAL FLAME TUBES: FEEDBACK MECHANISM AND DAMPING
Schwing, Joachim
Sattelmayer, Thomas
[J]. PROCEEDINGS OF THE ASME TURBO EXPO: TURBINE TECHNICAL CONFERENCE AND EXPOSITION, 2013, VOL 1A, 2013,
[39] Experimental investigation of high-frequency combustion instabilities in liquid rocket engine
Richecoeur, F.
Ducruix, S.
Scouflaire, P.
Candel, S.
[J]. ACTA ASTRONAUTICA, 2008, 62 (01) : 18 - 27
[40] Experimental and numerical investigation of thermoacoustic sources related to high-frequency instabilities
Zellhuber, Mathieu
Schwing, Joachim
Schuermans, Bruno
Sattelmayer, Thomas
Polifke, Wolfgang
[J]. INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, 2014, 6 (01) : 1 - 34

← 1 2 3 4 5 →