Some spatial decay estimates in continuum dynamics

1987 ◽  
Vol 17 (3) ◽  
pp. 249-264 ◽  
Author(s):  
J. N. Flavin ◽  
R. J. Knops
Keyword(s):  
Decay Estimates ◽  
Spatial Decay ◽  
Continuum Dynamics

Spatial Decay Estimates for a Class of Thermoelastic Plates

2021 ◽  
Vol 42 (0) ◽  
pp. 1-9
Author(s):  
SHI Jincheng ◽  
◽  
◽  
XIAO Shengzhong ◽  
◽  
...  
Keyword(s):  
Decay Estimates ◽  
Spatial Decay ◽  
Thermoelastic Plates

Some spatial decay estimates in time-dependent stokes slow flows

2001 ◽  
Vol 77 (3-4) ◽  
pp. 211-231 ◽  
Author(s):  
Stan Chiriţă ◽  
Michele Ciarletta ◽  
Mauro Fabrizio
Keyword(s):  
Time Dependent ◽  
Decay Estimates ◽  
Spatial Decay ◽  
Slow Flows

scholarly journals Spatial Behavior of a Coupled System of Wave-Plate Type

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Gusheng Tang ◽  
Yan Liu ◽  
Wenhui Liao
Keyword(s):  
Differential Inequality ◽  
Coupled System ◽  
Second Order ◽  
Spatial Behavior ◽  
Decay Estimates ◽  
Spatial Decay ◽  
Area Measure ◽  
First Order ◽  
Wave Plate ◽  
Plate Type

The spatial behavior of a coupled system of wave-plate type is studied. We get the alternative results of Phragmén-Lindelöf type in terms of an area measure of the amplitude in question based on a first-order differential inequality. We also get the spatial decay estimates based on a second-order differential inequality.

Polynomial and Exponential Spatial Decay Estimates in Elasticity

2008 ◽  
Vol 93 (3) ◽  
pp. 279-290 ◽  
Author(s):  
R. Quintanilla
Keyword(s):  
Decay Estimates ◽  
Spatial Decay

POINTWISE BOUNDS AND SPATIAL DECAY ESTIMATES IN HEAT CONDUCTION PROBLEMS

1995 ◽  
Vol 05 (06) ◽  
pp. 755-775 ◽  
Author(s):  
L.E. PAYNE ◽  
G.A. PHILIPPIN
Keyword(s):  
Heat Conduction ◽  
Dirichlet Problem ◽  
Unbounded Domains ◽  
Initial Boundary ◽  
Decay Estimates ◽  
Initial Boundary Value Problems ◽  
Spatial Decay ◽  
Absolute Value ◽  
Explicit Bounds ◽  
Initial Boundary Value

In this paper we derive a new maximum principle for the absolute value of the gradient of a solution to the heat equation. We then apply this principle to obtain explicit bounds in the associated Dirichlet problem. Finally we derive explicit pointwise St-Venant type spatial decay estimates for solutions of certain initial-boundary value problems and their gradients in the case of unbounded domains.

Spatial Decay Estimates in Time-Dependent Stokes Flow

1993 ◽  
Vol 24 (6) ◽  
pp. 1395-1413 ◽  
Author(s):  
K. A. Ames ◽  
L. E. Payne ◽  
P. W. Schaefer
Keyword(s):  
Stokes Flow ◽  
Time Dependent ◽  
Decay Estimates ◽  
Spatial Decay

scholarly journals Spatial decay estimates for a class of nonlinear damped hyperbolic equations

2001 ◽  
Vol 27 (1) ◽  
pp. 17-26
Author(s):  
F. Tahamtani ◽  
K. Mosaleheh ◽  
K. Seddighi
Keyword(s):  
Continuous Dependence ◽  
Wave Equations ◽  
Hyperbolic Equations ◽  
Decay Estimates ◽  
Two Dimensional ◽  
Spatial Decay ◽  
Dimensional Wave

This paper is concerned with investigating the spatial decay estimates for a class of nonlinear damped hyperbolic equations. In addition, we compare the solutions of two-dimensional wave equations with different damped coefficients and establish an explicit inequality which displays continuous dependence on this coefficient.

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