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1

Fakhfakh, Tahar, Walter Bartelmus, Fakher Chaari, Radoslaw Zimroz, and Mohamed Haddar, eds. Condition Monitoring of Machinery in Non-Stationary Operations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28768-8.

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Fernandez Del Rincon, Alfonso, Fernando Viadero Rueda, Fakher Chaari, Radoslaw Zimroz, and Mohamed Haddar, eds. Advances in Condition Monitoring of Machinery in Non-Stationary Operations. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11220-2.

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3

Timofiejczuk, Anna, Fakher Chaari, Radoslaw Zimroz, Walter Bartelmus, and Mohamed Haddar, eds. Advances in Condition Monitoring of Machinery in Non-Stationary Operations. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-61927-9.

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4

Dalpiaz, Giorgio, Riccardo Rubini, Gianluca D'Elia, Marco Cocconcelli, Fakher Chaari, Radoslaw Zimroz, Walter Bartelmus, and Mohamed Haddar, eds. Advances in Condition Monitoring of Machinery in Non-Stationary Operations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-39348-8.

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5

Chaari, Fakher, Radoslaw Zimroz, Walter Bartelmus, and Mohamed Haddar, eds. Advances in Condition Monitoring of Machinery in Non-Stationary Operations. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-20463-5.

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6

Fakhfakh, Tahar. Condition Monitoring of Machinery in Non-Stationary Operations: Proceedings of the Second International Conference "Condition Monitoring of Machinery in Non-Stationnary Operations" CMMNO’2012. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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7

Mann, Peter. The Stationary Action Principle. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0007.

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This crucial chapter focuses on the stationary action principle. It introduces Lagrangian mechanics, using first-order variational calculus to derive the Euler–Lagrange equation, and the inverse problem is described. The chapter then considers the Ostrogradsky equation and discusses the properties of the extrema using the second-order variation to the action. It then discusses the difference between action functions (of Dirichlet boundary conditions) and action functionals of the extremal path. The different types of boundary conditions (Dirichlet vs Neumann) are elucidated. Topics discussed include Hessian conditions, Douglas’s theorem, the Jacobi last multiplier, Helmholtz conditions, Noether-type variation and Frenet–Serret frames, as well as concepts such as on shell and off shell. Actions of non-continuous extremals are examined using Weierstrass–Erdmann corner conditions, and the action principle is written in the most general form as the Hamilton–Suslov principle. Important applications of the Euler–Lagrange formulation are highlighted, including protein folding.
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8

Springer. Advances in Condition Monitoring of Machinery in Non-Stationary Operations. Springer London, Limited, 2013.

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9

Staff, IEEE. 2021 7th International Conference on Condition Monitoring of Machinery in Non Stationary Operations (CMMNO). IEEE, 2021.

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10

Staff, IEEE. 2021 7th International Conference on Condition Monitoring of Machinery in Non Stationary Operations (CMMNO). IEEE, 2021.

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11

Chaari, Fakher, Mohamed Haddar, Radoslaw Zimroz, and Walter Bartelmus. Advances in Condition Monitoring of Machinery in Non-Stationary Operations: Proceedings of the Fourth International Conference on Condition Monitoring of Machinery in Non-Stationary Operations, Cmmno'2014, Lyon, France December 15-17. Springer International Publishing AG, 2016.

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12

Chaari, Fakher, Mohamed Haddar, Radoslaw Zimroz, and Walter Bartelmus. Advances in Condition Monitoring of Machinery in Non-Stationary Operations: Proceedings of the Fourth International Conference on Condition Monitoring of Machinery in Non-Stationary Operations, CMMNO'2014, Lyon, France December 15-17. Springer, 2015.

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13

Chaari, Fakher, Mohamed Haddar, Radoslaw Zimroz, Walter Bartelmus, Giorgio Dalpiaz, Riccardo Rubini, Gianluca D'Elia, and Marco Cocconcelli. Advances in Condition Monitoring of Machinery in Non-Stationary Operations: Proceedings of the third International Conference on Condition Monitoring ... Springer, 2013.

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14

Chaari, Fakher, Tahar Fakhfakh, and Walter Bartelmus. Condition Monitoring of Machinery in Non-Stationary Operations: Proceedings of the Second International Conference "Condition Monitoring of Machinery in Non-Stationnary Operations" CMMNO'2012. Springer, 2012.

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15

Chaari, Fakher, Tahar Fakhfakh, Mohamed Haddar, Radoslaw Zimroz, and Walter Bartelmus. Condition Monitoring of Machinery in Non-Stationary Operations: Proceedings of the Second International Conference Condition Monitoring of Machinery in Non-Stationnary Operations CMMNO'2012. Springer Berlin / Heidelberg, 2016.

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16

Chaari, Fakher, Mohamed Haddar, Anna Timofiejczuk, Radoslaw Zimroz, and Walter Bartelmus. Advances in Condition Monitoring of Machinery in Non-Stationary Operations: Proceedings of the 5th International Conference on Condition Monitoring of ... Poland. Springer, 2018.

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17

Chaari, Fakher, Mohamed Haddar, Radoslaw Zimroz, Alfonso Fernandez Del Rincon, and Fernando Viadero Rueda. Advances in Condition Monitoring of Machinery in Non-Stationary Operations: Proceedings of the 6th International Conference on Condition Monitoring of ... Spain. Springer, 2019.

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18

Chaari, Fakher, Mohamed Haddar, Anna Timofiejczuk, Radoslaw Zimroz, and Walter Bartelmus. Advances in Condition Monitoring of Machinery in Non-Stationary Operations: Proceedings of the 5th International Conference on Condition Monitoring of ... Poland. Springer, 2017.

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19

Chaari, Fakher, Mohamed Haddar, Radoslaw Zimroz, and Walter Bartelmus. Advances in Condition Monitoring of Machinery in Non-Stationary Operations: Proceedings of the Fourth International Conference on Condition Monitoring ... December 15-17. Springer, 2015.

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20

Tibaldi, Stefano, and Franco Molteni. Atmospheric Blocking in Observation and Models. Oxford University Press, 2018. http://dx.doi.org/10.1093/acrefore/9780190228620.013.611.

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The atmospheric circulation in the mid-latitudes of both hemispheres is usually dominated by westerly winds and by planetary-scale and shorter-scale synoptic waves, moving mostly from west to east. A remarkable and frequent exception to this “usual” behavior is atmospheric blocking. Blocking occurs when the usual zonal flow is hindered by the establishment of a large-amplitude, quasi-stationary, high-pressure meridional circulation structure which “blocks” the flow of the westerlies and the progression of the atmospheric waves and disturbances embedded in them. Such blocking structures can have lifetimes varying from a few days to several weeks in the most extreme cases. Their presence can strongly affect the weather of large portions of the mid-latitudes, leading to the establishment of anomalous meteorological conditions. These can take the form of strong precipitation episodes or persistent anticyclonic regimes, leading in turn to floods, extreme cold spells, heat waves, or short-lived droughts. Even air quality can be strongly influenced by the establishment of atmospheric blocking, with episodes of high concentrations of low-level ozone in summer and of particulate matter and other air pollutants in winter, particularly in highly populated urban areas.Atmospheric blocking has the tendency to occur more often in winter and in certain longitudinal quadrants, notably the Euro-Atlantic and the Pacific sectors of the Northern Hemisphere. In the Southern Hemisphere, blocking episodes are generally less frequent, and the longitudinal localization is less pronounced than in the Northern Hemisphere.Blocking has aroused the interest of atmospheric scientists since the middle of the last century, with the pioneering observational works of Berggren, Bolin, Rossby, and Rex, and has become the subject of innumerable observational and theoretical studies. The purpose of such studies was originally to find a commonly accepted structural and phenomenological definition of atmospheric blocking. The investigations went on to study blocking climatology in terms of the geographical distribution of its frequency of occurrence and the associated seasonal and inter-annual variability. Well into the second half of the 20th century, a large number of theoretical dynamic works on blocking formation and maintenance started appearing in the literature. Such theoretical studies explored a wide range of possible dynamic mechanisms, including large-amplitude planetary-scale wave dynamics, including Rossby wave breaking, multiple equilibria circulation regimes, large-scale forcing of anticyclones by synoptic-scale eddies, finite-amplitude non-linear instability theory, and influence of sea surface temperature anomalies, to name but a few. However, to date no unique theoretical model of atmospheric blocking has been formulated that can account for all of its observational characteristics.When numerical, global short- and medium-range weather predictions started being produced operationally, and with the establishment, in the late 1970s and early 1980s, of the European Centre for Medium-Range Weather Forecasts, it quickly became of relevance to assess the capability of numerical models to predict blocking with the correct space-time characteristics (e.g., location, time of onset, life span, and decay). Early studies showed that models had difficulties in correctly representing blocking as well as in connection with their large systematic (mean) errors.Despite enormous improvements in the ability of numerical models to represent atmospheric dynamics, blocking remains a challenge for global weather prediction and climate simulation models. Such modeling deficiencies have negative consequences not only for our ability to represent the observed climate but also for the possibility of producing high-quality seasonal-to-decadal predictions. For such predictions, representing the correct space-time statistics of blocking occurrence is, especially for certain geographical areas, extremely important.
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