Almost exponential decay of periodic viscous surface waves without surface tension
We consider a viscous fluid of finite depth below the air, occupying a three-dimensional
domain bounded below by a fixed solid boundary and above by a free moving boundary …
domain bounded below by a fixed solid boundary and above by a free moving boundary …
Decay of viscous surface waves without surface tension in horizontally infinite domains
We consider a viscous fluid of finite depth below the air, occupying a three-dimensional
domain bounded below by a fixed solid boundary and above by a free moving boundary …
domain bounded below by a fixed solid boundary and above by a free moving boundary …
The algebraic multiplicity of eigenvalues and the Evans function revisited
Y Latushkin, A Sukhtayev - Mathematical Modelling of Natural …, 2010 - cambridge.org
This paper is related to the spectral stability of traveling wave solutions of partial differential
equations. In the first part of the paper we use the Gohberg-Rouche Theorem to prove …
equations. In the first part of the paper we use the Gohberg-Rouche Theorem to prove …
Decay of viscous surface waves without surface tension
Consider a viscous fluid of finite depth below the air. In the absence of the surface tension
effect at the air-fluid interface, the long time behavior of a free surface with small amplitude …
effect at the air-fluid interface, the long time behavior of a free surface with small amplitude …
Slow damping of internal waves in a stably stratified fluid
We study the damping of internal gravity waves in a stably stratified fluid with constant
viscosity in two-and three-dimensional bounded domains. For the linearized Navier-Stokes …
viscosity in two-and three-dimensional bounded domains. For the linearized Navier-Stokes …
[HTML][HTML] Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures
C Engström - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
In this paper, we study spectral properties and spectral enclosures for the Gurtin-Pipkin type
of integro-differential equations in several dimensions. The analysis is based on an operator …
of integro-differential equations in several dimensions. The analysis is based on an operator …
[图书][B] The Evans function, the Weyl-Titchmarsh function, and the Birman-Schwinger operators
A Sukhtayev - 2012 - search.proquest.com
We focus on the spectral stability of travelling wave solutions of partial differential equations.
First, we use the Gohberg-Rouche Theorem to prove equality of the algebraic multiplicity of …
First, we use the Gohberg-Rouche Theorem to prove equality of the algebraic multiplicity of …
[PDF][PDF] ARBITRARILY SLOW DAMPING OF INTERNAL WAVES IN A STABLY STRATIFIED FLOW IN TWO-AND THREE-DIMENSIONAL BOUNDED DOMAINS1
KF GURSKI, R KOLLÁR, RL PEGO - researchgate.net
We study the damping of internal gravity waves in a stably stratified fluid with constant
viscosity in two-and three-dimensional bounded domains. For the linearized Navier-Stokes …
viscosity in two-and three-dimensional bounded domains. For the linearized Navier-Stokes …