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EECT is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE's and FDEs. Topics include:
* Modeling of physical systems as infinitedimensional processes
* Direct problems such as existence, regularity and wellposedness
* Stability, longtime behavior and associated dynamical attractors
* Indirect problems such as exact controllability, reachability theory and inverse problems
* Optimization  including shape optimization  optimal control, game theory and calculus of variations
* Wellposedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s)
* Applications of the theory to physics, chemistry, engineering, economics, medicine and biology
The journal also welcomes excellent contributions on interesting and challenging ODE systems which arise as simplified models of infinitedimensional structures.
 AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
 Publishes 4 issues a year in March, June, September and December.
 Publishes online only.
 Indexed in Science Citation IndexExpanded, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Web of Science, Scopus, MathSciNet and Zentralblatt MATH.
 Archived in Portico and CLOCKSS.
 EECT is a publication of the American Institute of Mathematical Sciences. All rights reserved.

TOP 10 Most Read Articles in EECT, November 2017
1 
Martingale solutions for stochastic NavierStokes equations driven by Lévy noise
Volume 1, Number 2, Pages: 355  392, 2012
Kumarasamy Sakthivel
and Sivaguru S. Sritharan
Abstract
References
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In this paper, we establish the solvability of martingale solutions for the stochastic NavierStokes equations with ItôLévy noise in bounded and unbounded domains in $ \mathbb{R} ^d$,$d=2,3.$ The tightness criteria for the laws of a sequence of semimartingales is obtained from a theorem of Rebolledo as formulated by Metivier for the Lusin space valued processes. The existence of martingale solutions (in the sense of Stroock and Varadhan) relies on a generalization of MintyBrowder technique to stochastic case obtained from the local monotonicity of the drift term.

2 
Quasistability and global attractor in nonlinear thermoelastic diffusion plate with memory
Volume 4, Number 3, Pages: 241  263, 2015
Moncef Aouadi
and Alain Miranville
Abstract
References
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We analyse the longterm properties of a $C_0$semigroup describing
the solutions to a nonlinear thermoelastic diffusion plate,
recently derived by Aouadi [1], where the heat and diffusion flux
depends on the past history of the temperature and the chemical
potential gradients through memory kernels. First we prove the
wellposedness of the initialboundaryvalue problem using the
$C_0$semigroup theory of linear operators. Then we show, without
rotational inertia, that the thermal and chemical potential coupling
is strong enough to guarantee the quasistability. By showing that
the system is gradient and asymptotically compact, the existence of
a global attractor whose fractal dimension is finite is proved.

3 
A note on global wellposedness and blowup of some semilinear evolution equations
Volume 4, Number 3, Pages: 355  372, 2015
Tarek Saanouni
Abstract
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We investigate the initial value problems for some semilinear wave, heat and Schrödinger equations in two space dimensions, with exponential nonlinearities. Using the potential well method based on the concepts of invariant sets, we prove either global wellposedness or finite time blowup.

4 
Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition
Volume 4, Number 3, Pages: 325  346, 2015
Umberto De Maio,
Akamabadath K. Nandakumaran
and Carmen Perugia
Abstract
References
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In this paper, we study the exact controllability of a second
order linear evolution equation in a domain with highly
oscillating boundary with homogeneous Neumann boundary condition
on the oscillating part of boundary. Our aim is to obtain the
exact controllability for the homogenized equation. The limit
problem with Neumann condition on the oscillating boundary is
different and hence we need to study the exact controllability of
this new type of problem. In the process of homogenization, we
also study the asymptotic analysis of evolution equation in two
setups, namely solution by standard weak formulation and solution
by transposition method.

5 
Cauchy problem for a sixth order CahnHilliard type equation with inertial term
Volume 4, Number 3, Pages: 315  324, 2015
Aibo Liu
and Changchun Liu
Abstract
References
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In this paper, we consider the Cauchy problem of a sixth order CahnHilliard equation with the inertial term,
\begin{eqnarray*}
ku_{t t} + u_t  \Delta^3 u  \Delta(a(u) \Delta u \frac{a'(u)}2\nabla u^2 + f(u))=0.
\end{eqnarray*}
Based on Green's function method together with energy estimates, we get the global existence and
optimal decay rate of solutions.

6 
A backward uniqueness result for the wave equation with absorbing boundary conditions
Volume 4, Number 3, Pages: 347  353, 2015
Michael Renardy
Abstract
References
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We consider the wave equation $u_{tt}=\Delta u$ on a bounded domain $\Omega\subset{\mathbb R}^n$, $n>1$, with smooth boundary of positive mean
curvature. On the boundary, we impose
the absorbing boundary condition ${\partial u\over\partial\nu}+u_t=0$. We prove uniqueness of solutions backward in time.

7 
Null controllability with constraints on the state for the 1D KuramotoSivashinsky equation
Volume 4, Number 3, Pages: 281  296, 2015
Peng Gao
Abstract
References
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This paper is addressed to study the null controllability with constraints
on the state for the KuramotoSivashinsky equation. We first consider the linearized problem.
Then, by Kakutani fixed point theorem, we show that the same result holds for the KuramotoSivashinsky equation.

8 
Energy stability for thermoviscous fluids with a fading memory heat flux
Volume 4, Number 3, Pages: 265  279, 2015
Giovambattista Amendola,
Mauro Fabrizio,
John Murrough Golden
and Adele Manes
Abstract
References
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In this work we consider the thermal convection problem in arbitrary bounded
domains of a threedimensional space for incompressible viscous fluids, with
a fading memory constitutive equation for the heat flux. With the help of a
recently proposed free energy, expressed in terms of a minimal state
functional for such a system, we prove an existence and uniqueness theorem
for the linearized problem. Then, assuming some restrictions on the Rayleigh
number, we also prove exponential decay of solutions.

9 
An InghamMüntz type theorem and simultaneous observation problems
Volume 4, Number 3, Pages: 297  314, 2015
Vilmos Komornik
and Gérald Tenenbaum
Abstract
References
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We establish a theorem combining the estimates of Ingham and MüntzSzász.
Moreover, we allow complex exponents instead of purely imaginary exponents for the Ingham type part or purely real exponents for the MüntzSzász part.
A very special case of this theorem allows us to prove the simultaneous observability of some stringheat and beamheat systems.

10 
Regularity and stability of a wave equation with a strong damping and dynamic boundary conditions
Volume 2, Number 4, Pages: 631  667, 2013
Nicolas Fourrier
and Irena Lasiecka
Abstract
References
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We present an analysis of regularity and stability of solutions corresponding to wave equation with dynamic boundary conditions. It has been known since the pioneering work by [26, 27, 30] that addition of dynamics to the boundary may change drastically both regularity and stability properties of the underlying system.
We shall investigate these properties in the context of wave equation with the damping affecting either the interior dynamics or the boundary dynamics or both.
This leads to a consideration of a wave equation acting on a bounded 3d domain coupled with another second order dynamics acting on the boundary. The wave equation is equipped with a viscoelastic damping, zero Dirichlet boundary conditions on a portion of the boundary and dynamic boundary conditions. These are general Wentzell type of boundary conditions which describe wave equation oscillating on a tangent manifold of a lower dimension.
We shall examine regularity and stability properties of the resulting system as a function of strength and location of the dissipation. Properties such as wellposedness of finite energy solutions, analyticity of the associated semigroup,
strong and uniform stability will be discussed.
The results obtained analytically are illustrated by numerical analysis. The latter shows the impact of various
types of dissipation on the spectrum of the generator as well as the dynamic behavior of the solution on a rectangular domain.

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