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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 infinite-dimensional processes
  *  Direct problems such as existence, regularity and well-posedness
  *  Stability, long-time 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
  *  Well-posedness, 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
Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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Forward controllability of a random attractor for the non-autonomous stochastic sine-Gordon equation on an unbounded domain
Shuang Yang and Yangrong Li
2020, 9(3) : 581-604 doi: 10.3934/eect.2020025 +[Abstract](700) +[HTML](309) +[PDF](396.33KB)
Local null controllability of coupled degenerate systems with nonlocal terms and one control force
R. Demarque, J. Límaco and L. Viana
2020, 9(3) : 605-635 doi: 10.3934/eect.2020026 +[Abstract](693) +[HTML](304) +[PDF](465.07KB)
Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems
Sérgio S. Rodrigues
2020, 9(3) : 635-672 doi: 10.3934/eect.2020027 +[Abstract](694) +[HTML](350) +[PDF](1404.68KB)
Boundary controllability of the Korteweg-de Vries equation on a tree-shaped network
Eduardo Cerpa, Emmanuelle Crépeau and Julie Valein
2020, 9(3) : 673-692 doi: 10.3934/eect.2020028 +[Abstract](860) +[HTML](302) +[PDF](355.85KB)
Pointwise control of the linearized Gear-Grimshaw system
Roberto de A. Capistrano-Filho, Vilmos Komornik and Ademir F. Pazoto
2020, 9(3) : 693-719 doi: 10.3934/eect.2020029 +[Abstract](644) +[HTML](317) +[PDF](401.73KB)
Remarks on the damped nonlinear Schrödinger equation
Tarek Saanouni
2020, 9(3) : 721-732 doi: 10.3934/eect.2020030 +[Abstract](615) +[HTML](291) +[PDF](344.54KB)
Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data
Adam Larios and Yuan Pei
2020, 9(3) : 733-751 doi: 10.3934/eect.2020031 +[Abstract](724) +[HTML](320) +[PDF](364.35KB)
Existence and asymptotic stability of periodic solutions for neutral evolution equations with delay
Qiang Li and Mei Wei
2020, 9(3) : 753-772 doi: 10.3934/eect.2020032 +[Abstract](713) +[HTML](391) +[PDF](343.87KB)
Continuity with respect to fractional order of the time fractional diffusion-wave equation
Nguyen Huy Tuan, Donal O'Regan and Tran Bao Ngoc
2020, 9(3) : 773-793 doi: 10.3934/eect.2020033 +[Abstract](860) +[HTML](360) +[PDF](559.21KB)
Design of boundary stabilizers for the non-autonomous cubic semilinear heat equation driven by a multiplicative noise
Ionuţ Munteanu
2020, 9(3) : 795-816 doi: 10.3934/eect.2020034 +[Abstract](540) +[HTML](274) +[PDF](351.04KB)
On stochastic maximum principle for risk-sensitive of fully coupled forward-backward stochastic control of mean-field type with application
Adel Chala and Dahbia Hafayed
2020, 9(3) : 817-843 doi: 10.3934/eect.2020035 +[Abstract](444) +[HTML](244) +[PDF](392.23KB)
Time-varying integro-differential inclusions with Clarke sub-differential and non-local initial conditions: existence and approximate controllability
Yong-Kui Chang and Xiaojing Liu
2020, 9(3) : 845-863 doi: 10.3934/eect.2020036 +[Abstract](487) +[HTML](296) +[PDF](381.14KB)
On the management fourth-order Schrödinger-Hartree equation
Carlos Banquet and Élder J. Villamizar-Roa
2020, 9(3) : 865-889 doi: 10.3934/eect.2020037 +[Abstract](420) +[HTML](222) +[PDF](462.52KB)
Nonlocal final value problem governed by semilinear anomalous diffusion equations
Dinh-Ke Tran and Tran-Phuong-Thuy Lam
2020, 9(3) : 891-914 doi: 10.3934/eect.2020038 +[Abstract](543) +[HTML](247) +[PDF](374.58KB)
Uniform attractors of 3D Navier-Stokes-Voigt equations with memory and singularly oscillating external forces
Cung The Anh, Dang Thi Phuong Thanh and Nguyen Duong Toan
2020doi: 10.3934/eect.2020039 +[Abstract](395) +[HTML](211) +[PDF](391.89KB)
Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term
Wenbin Lv and Qingyuan Wang
2020doi: 10.3934/eect.2020040 +[Abstract](416) +[HTML](205) +[PDF](326.68KB)
Measurable solutions for elliptic and evolution inclusions
Kenneth Kuttler
2020doi: 10.3934/eect.2020041 +[Abstract](310) +[HTML](210) +[PDF](299.09KB)
A nonsmooth approach for the modelling of a mechanical rotary drilling system with friction
Samir Adly and Daniel Goeleven
2020doi: 10.3934/eect.2020042 +[Abstract](352) +[HTML](190) +[PDF](1410.51KB)
Topological optimization and minimal compliance in linear elasticity
Cornel Marius Murea and Dan Tiba
2020doi: 10.3934/eect.2020043 +[Abstract](368) +[HTML](224) +[PDF](3459.3KB)
History-dependent differential variational-hemivariational inequalities with applications to contact mechanics
Zhenhai Liu, Van Thien Nguyen, Jen-Chih Yao and Shengda Zeng
2020doi: 10.3934/eect.2020044 +[Abstract](383) +[HTML](236) +[PDF](317.76KB)
Convergence of simultaneous distributed-boundary parabolic optimal control problems
Domingo Tarzia, Carolina Bollo and Claudia Gariboldi
2020doi: 10.3934/eect.2020045 +[Abstract](334) +[HTML](227) +[PDF](368.98KB)
Stability analysis and optimal control of A stationary Stokes hemivariational inequality
Changjie Fang and Weimin Han
2020doi: 10.3934/eect.2020046 +[Abstract](323) +[HTML](197) +[PDF](313.96KB)
Fully history-dependent evolution hemivariational inequalities with constraints
Stanisław Migórski, Yi-bin Xiao and Jing Zhao
2020doi: 10.3934/eect.2020047 +[Abstract](329) +[HTML](209) +[PDF](385.7KB)
Tykhonov well-posedness of a viscoplastic contact problem
Mircea Sofonea and Yi-bin Xiao
2020doi: 10.3934/eect.2020048 +[Abstract](337) +[HTML](216) +[PDF](357.86KB)
On dynamic contact problem with generalized Coulomb friction, normal compliance and damage
Leszek Gasiński and Piotr Kalita
2020doi: 10.3934/eect.2020049 +[Abstract](331) +[HTML](209) +[PDF](515.02KB)
Relaxation of optimal control problems driven by nonlinear evolution equations
Leszek Gasiński and Nikolaos S. Papageorgiou
2020doi: 10.3934/eect.2020050 +[Abstract](385) +[HTML](216) +[PDF](319.83KB)
Infimal convolution and duality in convex optimal control problems with second order evolution differential inclusions
Elimhan N. Mahmudov
2020doi: 10.3934/eect.2020051 +[Abstract](249) +[HTML](111) +[PDF](422.22KB)
Boundary null-controllability of coupled parabolic systems with Robin conditions
Kuntal Bhandari and Franck Boyer
2020doi: 10.3934/eect.2020052 +[Abstract](396) +[HTML](128) +[PDF](607.23KB)
On a final value problem for a class of nonlinear hyperbolic equations with damping term
Nguyen Huu Can, Nguyen Huy Tuan, Donal O'Regan and Vo Van Au
2020doi: 10.3934/eect.2020053 +[Abstract](285) +[HTML](111) +[PDF](485.71KB)
Uniform boundary observability with Legendre-Galerkin formulations of the 1-D wave equation
Ludovick Gagnon and José M. Urquiza
2020doi: 10.3934/eect.2020054 +[Abstract](252) +[HTML](106) +[PDF](676.11KB)
Measurable solutions to general evolution inclusions
Kevin T. Andrews, Kenneth L. Kuttler, Ji Li and Meir Shillor
2020doi: 10.3934/eect.2020055 +[Abstract](219) +[HTML](109) +[PDF](433.4KB)
Differential inclusion problems with convolution and discontinuous nonlinearities
Yongjian Liu, Zhenhai Liu and Dumitru Motreanu
2020doi: 10.3934/eect.2020056 +[Abstract](223) +[HTML](116) +[PDF](377.69KB)
Vibrations of a beam between stops: Collision events and energy balance properties
Laetitia Paoli
2020doi: 10.3934/eect.2020057 +[Abstract](207) +[HTML](122) +[PDF](398.75KB)
Existence for a quasistatic variational-hemivariational inequality
Zijia Peng, Cuiming Ma and Zhonghui Liu
2020doi: 10.3934/eect.2020058 +[Abstract](215) +[HTML](109) +[PDF](376.49KB)
Numerical analysis of a nonmonotone dynamic contact problem of a non-clamped piezoelectric viscoelastic body
Krzysztof Bartosz
2020doi: 10.3934/eect.2020059 +[Abstract](229) +[HTML](128) +[PDF](400.25KB)
A dynamic viscoelastic problem with friction and rate-depending contact interactions
Marius Cocou
2020doi: 10.3934/eect.2020060 +[Abstract](246) +[HTML](116) +[PDF](402.5KB)
Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions
Roland Schnaubelt and Martin Spitz
2020doi: 10.3934/eect.2020061 +[Abstract](279) +[HTML](60) +[PDF](700.08KB)
Approximate controllability for Navier–Stokes equations in $ \rm3D $ cylinders under Lions boundary conditions by an explicit saturating set
Duy Phan
2020doi: 10.3934/eect.2020062 +[Abstract](173) +[HTML](66) +[PDF](2773.48KB)
Periodic solutions and multiharmonic expansions for the Westervelt equation
Barbara Kaltenbacher
2020doi: 10.3934/eect.2020063 +[Abstract](118) +[HTML](63) +[PDF](411.73KB)
Decay rate of global solutions to three dimensional generalized MHD system
Yanxia Niu, Yinxia Wang and Qingnian Zhang
2020doi: 10.3934/eect.2020064 +[Abstract](132) +[HTML](59) +[PDF](368.93KB)
Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy
Ge Zu and Bin Guo
2020doi: 10.3934/eect.2020065 +[Abstract](151) +[HTML](62) +[PDF](357.61KB)
On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay
V. Vijayakumar, R. Udhayakumar and K. Kavitha
2020doi: 10.3934/eect.2020066 +[Abstract](349) +[HTML](70) +[PDF](444.16KB)
Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting
Joel Fotso Tachago, Giuliano Gargiulo, Hubert Nnang and Elvira Zappale
2020doi: 10.3934/eect.2020067 +[Abstract](171) +[HTML](69) +[PDF](485.62KB)
Stabilization of the transmission wave/plate equation with variable coefficients on $ {\mathbb{R}}^n $
Bei Gong, Zhen-Hu Ning and Fengyan Yang
2020doi: 10.3934/eect.2020068 +[Abstract](202) +[HTML](72) +[PDF](359.6KB)
Internal feedback stabilization for parabolic systems coupled in zero or first order terms
Elena-Alexandra Melnig
2020doi: 10.3934/eect.2020069 +[Abstract](129) +[HTML](51) +[PDF](394.98KB)
Homogenization of a stochastic viscous transport equation
Ioana Ciotir, Nicolas Forcadel and Wilfredo Salazar
2020doi: 10.3934/eect.2020070 +[Abstract](149) +[HTML](59) +[PDF](422.67KB)
Stability and dynamics for a nonlinear one-dimensional full compressible non-Newtonian fluids
Xin Liu, Yongjin Lu and Xin-Guang Yang
2020doi: 10.3934/eect.2020071 +[Abstract](171) +[HTML](76) +[PDF](402.0KB)
Well-posedness of infinite-dimensional non-autonomous passive boundary control systems
Birgit Jacob and Hafida Laasri
2020doi: 10.3934/eect.2020072 +[Abstract](201) +[HTML](80) +[PDF](471.98KB)
Approximation theorems for controllability problem governed by fractional differential equation
Rajesh Dhayal, Muslim Malik, Syed Abbas, Anil Kumar and Rathinasamy Sakthivel
2020doi: 10.3934/eect.2020073 +[Abstract](268) +[HTML](115) +[PDF](423.41KB)
Decay rates for the moore-gibson-thompson equation with memory
Hizia Bounadja and Belkacem Said Houari
2020doi: 10.3934/eect.2020074 +[Abstract](200) +[HTML](71) +[PDF](474.47KB)
A remark on the attainable set of the Schrödinger equation
Jonas Lampart
2020doi: 10.3934/eect.2020075 +[Abstract](146) +[HTML](78) +[PDF](301.95KB)
Approximate controllability of nonlocal problem for non-autonomous stochastic evolution equations
Pengyu Chen and Xuping Zhang
2020doi: 10.3934/eect.2020076 +[Abstract](213) +[HTML](112) +[PDF](413.99KB)
New results on controllability of fractional evolution systems with order $ \alpha\in (1,2) $
Yong Zhou and Jia Wei He
2020doi: 10.3934/eect.2020077 +[Abstract](233) +[HTML](73) +[PDF](351.16KB)
Conditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensor
Fan Wu
2020doi: 10.3934/eect.2020078 +[Abstract](180) +[HTML](79) +[PDF](296.86KB)
Funnel Control for boundary control systems
Marc Puche, Timo Reis and Felix L. Schwenninger
2020doi: 10.3934/eect.2020079 +[Abstract](112) +[HTML](43) +[PDF](1482.42KB)
Null controllability for singular cascade systems of $ n $-coupled degenerate parabolic equations by one control force
Brahim Allal, Abdelkarim Hajjaj, Lahcen Maniar and Jawad Salhi
2020doi: 10.3934/eect.2020080 +[Abstract](139) +[HTML](47) +[PDF](492.37KB)
On finite Morse index solutions of higher order fractional elliptic equations
Belgacem Rahal and Cherif Zaidi
2020doi: 10.3934/eect.2020081 +[Abstract](90) +[HTML](37) +[PDF](528.7KB)
Blow-up criteria for linearly damped nonlinear Schrödinger equations
Van Duong Dinh
2020doi: 10.3934/eect.2020082 +[Abstract](126) +[HTML](43) +[PDF](440.84KB)
Results on controllability of non-densely characterized neutral fractional delay differential system
Kasthurisamy Jothimani, Kalimuthu Kaliraj, Sumati Kumari Panda, Kotakkaran Sooppy Nisar and Chokkalingam Ravichandran
2020doi: 10.3934/eect.2020083 +[Abstract](213) +[HTML](56) +[PDF](385.72KB)
A nonlocal Weickert type PDE applied to multi-frame super-resolution
Fatimzehrae Ait Bella, Aissam Hadri, Abdelilah Hakim and Amine Laghrib
2020doi: 10.3934/eect.2020084 +[Abstract](2) +[HTML](2) +[PDF](5039.71KB)
A blow – up result for the semilinear Moore – Gibson – Thompson equation with nonlinearity of derivative type in the conservative case
Wenhui Chen and Alessandro Palmieri
2020doi: 10.3934/eect.2020085 +[Abstract](1) +[HTML](1) +[PDF](337.42KB)
Solvability in abstract evolution equations with countable time delays in banach spaces: Global lipschitz perturbation
Tomomi Yokota and Kentarou Yoshii
2020doi: 10.3934/eect.2020086 +[Abstract](1) +[HTML](1) +[PDF](315.3KB)
Deterministic control of stochastic reaction-diffusion equations
Wilhelm Stannat and Lukas Wessels
2020doi: 10.3934/eect.2020087 +[Abstract](3) +[HTML](1) +[PDF](866.01KB)
Lifespan of solutions to a parabolic type Kirchhoff equation with time-dependent nonlinearity
Haixia Li
2020doi: 10.3934/eect.2020088 +[Abstract](2) +[HTML](1) +[PDF](284.35KB)
S-asymptotically $ \omega $-periodic mild solutions and stability analysis of Hilfer fractional evolution equations
Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad and Aziz Khan
2020doi: 10.3934/eect.2020089 +[Abstract](1) +[HTML](1) +[PDF](508.46KB)
Controllability for fractional evolution inclusions without compactness
Yong Zhou, V. Vijayakumar and R. Murugesu
2015, 4(4) : 507-524 doi: 10.3934/eect.2015.4.507 +[Abstract](3768) +[PDF](424.8KB) Cited By(73)
Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm
Abderrahim Azouani and Edriss S. Titi
2014, 3(4) : 579-594 doi: 10.3934/eect.2014.3.579 +[Abstract](3033) +[PDF](418.2KB) Cited By(28)
Hyperbolic Navier-Stokes equations I: Local well-posedness
Reinhard Racke and Jürgen Saal
2012, 1(1) : 195-215 doi: 10.3934/eect.2012.1.195 +[Abstract](3287) +[PDF](426.3KB) Cited By(22)
On the Cauchy problem for the Schrödinger-Hartree equation
Binhua Feng and Xiangxia Yuan
2015, 4(4) : 431-445 doi: 10.3934/eect.2015.4.431 +[Abstract](2919) +[PDF](441.7KB) Cited By(20)
The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system
Abdelaziz Soufyane and Belkacem Said-Houari
2014, 3(4) : 713-738 doi: 10.3934/eect.2014.3.713 +[Abstract](3102) +[PDF](498.1KB) Cited By(19)
On Kelvin-Voigt model and its generalizations
Miroslav Bulíček, Josef Málek and K. R. Rajagopal
2012, 1(1) : 17-42 doi: 10.3934/eect.2012.1.17 +[Abstract](4119) +[PDF](596.6KB) Cited By(18)
Mathematics of nonlinear acoustics
Barbara Kaltenbacher
2015, 4(4) : 447-491 doi: 10.3934/eect.2015.4.447 +[Abstract](3681) +[PDF](724.1KB) Cited By(18)
Rational decay rates for a PDE heat--structure interaction: A frequency domain approach
George Avalos and Roberto Triggiani
2013, 2(2) : 233-253 doi: 10.3934/eect.2013.2.233 +[Abstract](3095) +[PDF](610.3KB) Cited By(17)
On well-posedness of incompressible two-phase flows with phase transitions: The case of equal densities
Jan Prüss, Yoshihiro Shibata, Senjo Shimizu and Gieri Simonett
2012, 1(1) : 171-194 doi: 10.3934/eect.2012.1.171 +[Abstract](3231) +[PDF](459.7KB) Cited By(17)
Fluid-structure interaction with and without internal dissipation of the structure: A contrast study in stability
George Avalos and Roberto Triggiani
2013, 2(4) : 563-598 doi: 10.3934/eect.2013.2.563 +[Abstract](3020) +[PDF](827.5KB) Cited By(16)
Martingale solutions for stochastic Navier-Stokes equations driven by Lévy noise
Kumarasamy Sakthivel and Sivaguru S. Sritharan
2012, 1(2) : 355-392 doi: 10.3934/eect.2012.1.355 +[Abstract](3205) +[PDF](583.6KB) PDF Downloads(389)
The controllability of a thermoelastic plate problem revisited
Moncef Aouadi and Taoufik Moulahi
2018, 7(1) : 1-31 doi: 10.3934/eect.2018001 +[Abstract](4520) +[HTML](515) +[PDF](612.96KB) PDF Downloads(266)
Mathematics of nonlinear acoustics
Barbara Kaltenbacher
2015, 4(4) : 447-491 doi: 10.3934/eect.2015.4.447 +[Abstract](3681) +[PDF](724.1KB) PDF Downloads(265)
On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations
Manil T. Mohan
2020, 9(2) : 301-339 doi: 10.3934/eect.2020007 +[Abstract](1479) +[HTML](594) +[PDF](485.25KB) PDF Downloads(263)
Continuity with respect to fractional order of the time fractional diffusion-wave equation
Nguyen Huy Tuan, Donal O'Regan and Tran Bao Ngoc
2020, 9(3) : 773-793 doi: 10.3934/eect.2020033 +[Abstract](860) +[HTML](360) +[PDF](559.21KB) PDF Downloads(227)
Stability problem for the age-dependent predator-prey model
Antoni Leon Dawidowicz and Anna Poskrobko
2018, 7(1) : 79-93 doi: 10.3934/eect.2018005 +[Abstract](5207) +[HTML](488) +[PDF](421.72KB) PDF Downloads(224)
Optimization of the blood pressure with the control in coefficients
Ruxandra Stavre
2020, 9(1) : 131-151 doi: 10.3934/eect.2020019 +[Abstract](1154) +[HTML](269) +[PDF](432.4KB) PDF Downloads(211)
Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping
Jun-Ren Luo and Ti-Jun Xiao
2020, 9(2) : 359-373 doi: 10.3934/eect.2020009 +[Abstract](979) +[HTML](407) +[PDF](299.02KB) PDF Downloads(210)
Null controllability for a heat equation with dynamic boundary conditions and drift terms
Abdelaziz Khoutaibi and Lahcen Maniar
2020, 9(2) : 535-559 doi: 10.3934/eect.2020023 +[Abstract](775) +[HTML](310) +[PDF](454.46KB) PDF Downloads(202)
Energy decay for the damped wave equation on an unbounded network
Rachid Assel and Mohamed Ghazel
2018, 7(3) : 335-351 doi: 10.3934/eect.2018017 +[Abstract](4345) +[HTML](384) +[PDF](431.8KB) PDF Downloads(201)

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