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| 1 | On the Controllability of an Advection-diffusion Equation with Respect to the Diffusion Parameter:Asymptotic Analysis and Numerical Simulations显示文摘The advection-diffusion equation y_t~ε-εy_(xx)~ε+ M y_x~ε= 0,(x, t) ∈(0, 1) ×(0, T) is null controllable for any strictly positive values of the diffusion coefficient ε and of the controllability time T. We discuss here the behavior of the cost of control when the coefficient ε goes to zero, according to the values of T. It is actually known that this cost is uniformly bounded with respect to ε if T is greater than a minimal time T_M, with T_M in the interval [1, 2×3^(1/2)]/M for M > 0 and in the interval [2×2^(1/2), 2(1 +3^(1/2))]/|M | for M < 0. The exact value of TM is however unknown.We investigate in this work the determination of the minimal time T_M employing two distincts but complementary approaches. In a first one, we numerically estimate the cost of controllability, reformulated as the solution of a generalized eigenvalue problem for the underlying control operator, with respect to the parameter T and ε. This allows notably to exhibit the structure of initial data leading to large costs of control. At the practical level, this evaluation requires the non trivial and challenging approximation of null controls for the advection-diffusion equation. In the second approach, we perform an asymptotic analysis, with respect to the parameter ε, of the optimality system associated to the control of minimal L^2-norm. The matched asymptotic expansion method is used to describe the multiple boundary layers. | Youcef AMIRAT Arnaud MNCH | 2019 | Acta Mathematicae Applicatae Sinica2019，35，1： | 18 |
| 2 | A brief status on condition monitoring and fault diagnosis in wind energy conversion systems显示文摘 | Y. Amirat M.E.H. Benbouzid E. Al-Ahmar B. Bensaker S. Turri | 2009 | Renewable and Sustainable Energy Reviews2009，，9： | 3 |
| 3 | Lower-limb movement assistance through wearable robots: state of the Art and challenges显示文摘 | Mohammed S Amirat Y Rifai H | 2012 | Advanced Robotics2012，26，12： | 1 |
| 4 | A brief status on condition monitoring and fault diagnosis in wind energy conversion systems显示文摘 | Y. Amirat M.E.H. Benbouzid E. Al-Ahmar B. Bensaker S. Turri | 2009 | Renewable and Sustainable Energy Reviews2009，，9： | 1 |
| 5 | Magnetotribology of ferromagnetic/ferromagnetic sliding couple显示文摘 | Zaidi H Amirat M Frene J | 2007 | Wear2007，263，： | 1 |
| 6 | Carotid artery stenting compared with endarterectomy in patients with symptomatic carotid stenosis (International Carotid Stenting Study, ICSS): an interim analysis of a randomised controlled trial 显示文摘 | Ederle J Dobson J Amirat I | 2010 | Lancet2010，375，9719： | 1 |
| 7 | A brief status on condition monitoring and fault diagnosis in wind energy conversion systems显示文摘 | Amirat Y Benbouzid M E H A1-Ahmar E | 2009 | Renewable and Sustainable Energy Reviews2009，13，9： | 1 |
| 8 | Nucleation and formation of oxide film with the magnetic field on dry sliding contact of ferromagnetic steel显示文摘 | Amirat M Zaidi H Senouci A | 2011 | Lubrication Science2011，23，： | 1 |
| 9 | Bull semen in vitro fertility after cryoperservation using egg yolk LDL: a comparison with optidy, a commercial egg yolk extender显示文摘 | Lamia Amirat Daniel Tainturler Laetitia Jeanneau | 2004 | Theriogenology2004，61，： | 1 |
| 10 | A brief status on condition monitoring and fault diagnosis in wind energy conversion显示文摘 | Y AMIRAT M E H BENBOUZID E AL AHMAR | | 0，，： | 1 |
| 11 | Reliability assessment of underground pipelines under the combined effect of active con'osion and residual stress显示文摘 | Amirat A Mohamed-Chateauneuf A Chaoui K | 2006 | International Join''hal of Pressure Vessels and Piping2006，83，2： | 1 |
| 12 | Abrief status on condition monitoring and fault diagnosis in windenergy conversion systems 显示文摘 | AMIRAT Y BENBOUZID M E H AI AHMAR E | 2009 | Renewable and SustainableEnergy Reviews2009，13，9： | 1 |
| 13 | Bull semen in vitro fertility after cryopreservation using egg yolk LDL: a comparison with Optidyl, a commercial egg yolk extender显示文摘 | Amirat L Tainturier D Jeanneau L | 2004 | O R Theriogenology2004，61，5： | 1 |
| 14 | A brief status on condition monitoring and fault diagnosis in wind energy conversion systems显示文摘 | Amirat Y Benbouzid M A1-Ahmar E | 2009 | Renewable and Sustainable Energy Reviews2009，13，9： | 1 |
| 15 | An eviden- tial fusion approach for activity recognition in ambient intelligence environments 显示文摘 | SEBBAK F CHIBANI A AMIRAT Y | 2013 | Robotics and Autonomous Systems2013，61，11： | 1 |
| 16 | Magnetotribology of Ferro- magnetic/ferromagnetic Sliding Couple 显示文摘 | Zaidi H Amirat M Frene J | 2007 | Wear2007，263，712： | 1 |
| 17 | A study of contact temperature and tribological behaviour of magnetized siding brass-steel couple in different gas environments显示文摘 | Amirat M Zaidi H Frene J | 2008 | Engineering Tribology2008，222，： | 1 |
| 18 | A brief status on condition monitoring and fault diagnosis in wind energy conversion systems显示文摘 | Amirat Y Benbouzid M AI-Ahmar E | 2009 | Renewable and Sustainable Energy Reviews2009，13，9： | 1 |
| 19 | A Brief Status on Condition Monitoring and Fault Di- agnosis in Wind Energy Conversion Systems显示文摘 | Amirat Y Benbouzid M E H Al-Ahmar E | 2009 | Renewable and Sustainable Energy Reviews2009，13，9： | 1 |
| 20 | Reliability assessment of underground pipelines under the combined effect of active corrosion and residual stress显示文摘 | Amirat Mohamed-Chateauneuf Chaoui | | 0，，02： | 1 |
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