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EECT is covered in Science Citation IndexExpanded (SCIE) including the Web of Science ISI Alerting Service Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES).
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.
The journal adheres to the publication ethics and malpractice policies outlined by COPE.
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TOP 10 Most Read Articles in EECT, February 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 
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.

7 
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.

8 
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.

9 
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.

10 
Boundary stabilization of
the NavierStokes equations with feedback controller via a Galerkin method
Volume 3, Number 1, Pages: 147  166, 2014
Evrad M. D. Ngom,
Abdou Sène
and Daniel Y. Le Roux
Abstract
References
Full Text
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In this work we study the exponential stabilization of the two and threedimensional
NavierStokes equations in a bounded domain $\Omega$, around a given steadystate flow,
by means of a boundary control. In order to determine a feedback law, we consider an
extended system coupling the NavierStokes equations with an equation satisfied by the
control on the domain boundary. While most traditional approaches apply a feedback
controller via an algebraic Riccati equation, the StokesOseen operator or
extension operators, a Galerkin method is proposed instead in this study.
The Galerkin method permits to construct a stabilizing boundary control
and by using energy a priori estimation technics, the exponential decay is obtained.
A compactness result then allows us to pass to the limit in the system satisfied by
the approximated solutions. The resulting feedback control is proven to be globally
exponentially stabilizing the steady states of the two and threedimensional
NavierStokes equations.

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