401 research outputs found
Existence and Decay of Solutions of a Nonlinear Viscoelastic Problem with a Mixed Nonhomogeneous Condition
We study the initial-boundary value problem for a nonlinear wave equation
given by u_{tt}-u_{xx}+\int_{0}^{t}k(t-s)u_{xx}(s)ds+ u_{t}^{q-2}u_{t}=f(x,t,u)
, 0 < x < 1, 0 < t < T, u_{x}(0,t)=u(0,t), u_{x}(1,t)+\eta u(1,t)=g(t),
u(x,0)=\^u_{0}(x), u_{t}(x,0)={\^u}_{1}(x), where \eta \geq 0, q\geq 2 are
given constants {\^u}_{0}, {\^u}_{1}, g, k, f are given functions. In part I
under a certain local Lipschitzian condition on f, a global existence and
uniqueness theorem is proved. The proof is based on the paper [10] associated
to a contraction mapping theorem and standard arguments of density. In Part} 2,
under more restrictive conditions it is proved that the solution u(t) and its
derivative u_{x}(t) decay exponentially to 0 as t tends to infinity.Comment: 26 page
Large time behavior of differential equations with drifted periodic coefficients modeling Carbon storage in soil
This paper is concerned with the linear ODE in the form
, which represents a simplified
storage model of the carbon in the soil. In the first part, we show that, for a
periodic function , a linear drift in the coefficient involves
a linear drift for the solution of this ODE. In the second part, we extend the
previous results to a classical heat non-homogeneous equation. The connection
with an analytic semi-group associated to the ODE equation is considered in the
third part. Numerical examples are given.Comment: 18 page
Determine the source term of a two-dimensional heat equation
Let be a two-dimensional heat conduction body. We consider the
problem of determining the heat source with
be given inexactly and be unknown. The problem is nonlinear and ill-posed.
By a specific form of Fourier transforms, we shall show that the heat source is
determined uniquely by the minimum boundary condition and the temperature
distribution in at the initial time and at the final time .
Using the methods of Tikhonov's regularization and truncated integration, we
construct the regularized solutions. Numerical part is given.Comment: 18 page
Determination of the body force of a two-dimensional isotropic elastic body
Let represent a twodimensional isotropic elastic body. We
consider the problem of determining the body force whose form
with be given inexactly. The problem is
nonlinear and ill-posed. Using the Fourier transform, the methods of Tikhonov's
regularization and truncated integration, we construct a regularized solution
from the data given inexactly and derive the explicitly error estimate.
Numerical part is givenComment: 23 page
The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions
This paper is concerned with the existence and the regularity of global
solutions to the linear wave equation associated with two-point type boundary
conditions. We also investigate the decay properties of the global solutions to
this problem by the construction of a suitable Lyapunov functional.Comment: 18 page
Studying livestock breeding wastewater treatment with bentonite adsorbent
The possibility of using adsorbents (bentonite, diatomite and kaolinite) for obtaining adsorptive materials effective in livestock breeding wastewater treatment has been assessed. It has been shown on the example of ions of ammonia (NH4) and phosphate (PO43) that particles of bentonite have relatively high adsorption capacity. The data about adsorption kinetics have been processed with the use of first and second-order kinetic models. It has been revealed that the second-order kinetic model described better adsorption of ammonia and phosphate from aqueous solutions by particles of bentonit
Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type
This paper is devoted to study a nonlinear wave equation with boundary
conditions of two-point type. First, we state two local existence theorems and
under suitable conditions, we prove that any weak solutions with negative
initial energy will blow up in finite time. Next, we give a sufficient
condition to guarantee the global existence and exponential decay of weak
solutions. Finally, we present numerical resultsComment: 2
A Hybrid of Adaptation and Dynamic Routing based on SDN for Improving QoE in HTTP Adaptive VBR Video Streaming
Recently, HTTP Adaptive Streaming HAS has received significant attention from
both industry and academia based on its ability to enhancing media streaming
services over the Internet. Recent research solutions that have tried to
improve HAS by adaptation at the client side only may not be completely
effective without interacting with routing decisions in the upper layers. In
this paper, we address the aforementioned issue by proposing a dynamic
bandwidth allocation and management architecture for streaming video flows to
improve users satisfaction. We also introduce an initial cross layer hybrid
method that combines quality adaptation of variable bitrate video streaming
over the HTTP protocol at the client side and SDN based dynamical routing. This
scheme is enabled by the Software Defined Networking architecture that is now
being considered as an emerging paradigm that disassociates the forwarding
process from the routing process. SDN brings flexibility and the ability to
flexibly change routing solutions, in turn resulting in dynamically improving
the services provided in the application layer. Our experimental results show
that the proposed solution offers significantly higher overall bitrates as well
as smoother viewing experience than existing methods.Comment: 14 pages, 17 figures, IJCSNS International Journal of Computer
Science and Network Security,
http://paper.ijcsns.org/07_book/201907/20190708.pd
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