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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2020, Volume 484, Issue 1, p. 123678
In this paper, we study the long time behavior of solutions to a class of the third grade fluid equations in . We first show that the solutions decay to zero... 
Fourier-splitting method | Decay rate | Third grade fluid equations | Long time behavior
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 04/2020, Volume 102, p. 106100
In this paper, we study the decay rate of strong solution for the compressible magnetohydrodynamics(MHD) equations with large initial data in three-dimensional... 
Large initial data | Compressible MHD equations | Decay rate
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2020, Volume 369
This paper proposes some new sufficient conditions and necessary conditions for exponential mean stability with prescribed decay rate, and sufficient... 
Exponential mean stability | Time-delay | Positive Markov jump linear systems | Non-fragile controller | Decay-rate | MATHEMATICS, APPLIED | FILTER DESIGN | STABILIZATION | PERFORMANCE | L-GAIN | STOCHASTIC STABILITY
Journal Article
EVOLUTION EQUATIONS AND CONTROL THEORY, ISSN 2163-2480, 03/2020, Volume 9, Issue 1, pp. 39 - 60
We consider a coupled fluid-thermoelastic plate interaction model. The fluid velocity is modeled by the linearized 3D Navier-Stokes equation while the plate... 
energy method | SYSTEM | MATHEMATICS | Fluid-plate interaction model | modified multipliers | RATES | MATHEMATICS, APPLIED | linearized Navier-Stokes equation | DECAY-RATE | STABILIZATION | thermoelastic Kirchoff plate system | exponential stability
Journal Article
Computational and Applied Mathematics, ISSN 2238-3603, 3/2020, Volume 39, Issue 1, pp. 1 - 19
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2020, Volume 482, Issue 2, p. 123552
Feng and Apalara (2019) investigated the one-dimensional porous-elastic system with finite memory under the assumptions of equal-speed wave propagations and... 
Decay rate | Porous-elastic system | Memory | Non-equal wave speeds | MATHEMATICS | THERMOELASTICITY | MATHEMATICS, APPLIED | ENERGY | EXPONENTIAL DECAY | SOLIDS | UNIFORM DECAY
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 02/2020, Volume 268, Issue 4, pp. 1379 - 1411
We consider a Keller-Segel type chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate. It is a... 
Logarithmic sensitivity | Chemotaxis | Logistic growth | Optimal time decay rates | Cauchy problem | EXISTENCE | MATHEMATICAL-ANALYSIS | BOUNDEDNESS | GLOBAL ASYMPTOTIC STABILITY | TRAVELING-WAVES | MATHEMATICS | SINGULAR SENSITIVITY | NONLINEAR STABILITY | CONSTANT EQUILIBRIA | CONSERVATION-LAWS | HYPERBOLIC-PARABOLIC SYSTEM
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 02/2020, Volume 268, Issue 4, pp. 1722 - 1749
This paper provides a small data global existence result for a class of quadratic derivative nonlinear Schrödinger systems in two space dimensions. This is an... 
Gauge invariance | Derivative nonlinear Schrödinger systems | Long-range interaction | Null structure | MATHEMATICS | KLEIN-GORDON SYSTEMS | DECAY-RATES | Derivative nonlinear Schrodinger systems | EQUATIONS | WELL-POSEDNESS | DATA BLOW-UP | SCATTERING
Journal Article
Applied Energy, ISSN 0306-2619, 02/2020, Volume 259, p. 114202
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 02/2020, Volume 100, p. 106054
This paper is concerned with the long-time asymptotic behavior of classical solutions to the Cauchy problem for the generalized Boussinesq–Burgers system:... 
Boussinesq–Burgers system | Explicit decay rates | Cauchy problem | MATHEMATICS, APPLIED | Boussinesq-Burgers system | GLOBAL EXISTENCE | NONLINEAR STABILITY | EQUATIONS | MODEL | HYPERBOLIC-PARABOLIC SYSTEM | PROPAGATION | TRAVELING-WAVES
Journal Article
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, ISSN 1534-0392, 02/2020, Volume 19, Issue 2, pp. 747 - 769
In this paper we are concerned with a Boussinesq system for small-amplitude long waves arising in nonlinear dispersive media. Considerations will be given for... 
MATHEMATICS | MATHEMATICS, APPLIED | AMPLITUDE LONG WAVES | generalized damping | stabilization | decay rate | NONLINEAR DISPERSIVE MEDIA | Boussinesq system | Fourier expansion | EQUATIONS | TIME BEHAVIOR
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 02/2020, Volume 51, p. 102978
In this work we study the controllability and stabilization of the linearized Benjamin equation which models the unidirectional propagation of long waves in a... 
Controllability | Stabilization | Benjamin equation | Dispersive equations | Well-posedness | MATHEMATICS, APPLIED | EXACT BOUNDARY CONTROLLABILITY | DE-VRIES EQUATION | STABILIZABILITY | Wave propagation | Decay rate | Capillarity | Boundary conditions | Linearization
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 01/2020, Volume 43, Issue 1, pp. 174 - 198
This work is devoted to the small amplitude solutions for the initial value problem of the multidimensional dissipative Boussinesq equation. We firstly derive... 
dissipative Boussinesq equation | small global solutions | optimal decay rates
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2020, Volume 364, p. 112334
This paper brings results about the behavior of sequences of eigenvalues or singular values of integral operators generated by square-integrable kernels on the... 
Eigenvalues | Singular values | Compact two-point homogeneous spaces | Integral operators | Laplace–Beltrami differentiability | Decay rates | MATHEMATICS, APPLIED | APPROXIMATION | Laplace-Beltrami differentiability | KERNELS | Mathematics - Functional Analysis
Journal Article
Physical Review B, ISSN 2469-9950, 01/2019, Volume 99, Issue 1, p. 1
We analyze the cooling of a mechanical resonator coupled to an ensemble of interacting two-level systems via an open quantum systems approach. Using an exact... 
PHYSICS, CONDENSED MATTER | ENERGY | PHYSICS, APPLIED | CAVITY | MATERIALS SCIENCE, MULTIDISCIPLINARY | Dissipation factor | Cooling | Parameters | Decay rate | Energy dissipation | Coupled modes | Entangled states | Coupling | Resonators | Strain
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 01/2020, Volume 268, Issue 2, pp. 447 - 489
We consider a strongly coupled Klein-Gordon system posed in an inhomogeneous medium Ω with smooth boundary ∂Ω subject to a local damping distributed around a... 
Klein-Gordon system | Exponential stability | Frictional damping | Wave equations | NONLINEAR-SYSTEM | COMPACT SURFACES | HYPERBOLIC SYSTEMS | MATHEMATICS | EXACT CONTROLLABILITY | DECAY-RATES | WAVE-EQUATION | BOUNDARY | UNIFORM STABILIZATION | SCHRODINGER
Journal Article
Communications on Pure and Applied Mathematics, ISSN 0010-3640, 01/2020, Volume 73, Issue 1, pp. 110 - 149
This paper deals with two related problems, namely distance‐preserving binary embeddings and quantization for compressed sensing. First, we propose fast... 
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 01/2020, Volume 99, Issue 1, pp. 269 - 281
The study of both linear and nonlinear structural vibrations routinely circles the concise yet complex problem of choosing a set of coordinates which yield... 
ENGINEERING
Journal Article
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