Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
The Middle Atlas is a region where xenolith-bearing volcanism roughly coincides with the maximum of lithospheric thinning beneath continental Morocco. It is therefore a key area to study the mechanisms of lithospheric thinning and constrain the component of mantle buoyancy that is required to explain the Moroccan topography. Samples from the two main xenolith localities, the Bou Ibalghatene and Tafraoute maars, have been investigated for their mineralogy, microstructures, crystallographic preferred orientation, and whole-rock and mineral compositions. While Bou Ibalghatene belongs to the main Middle Atlas volcanic field, in the ‘tabular’ Middle Atlas, Tafraoute is situated about 45 km away, on the North Middle Atlas Fault that separates the ‘folded’ Middle Atlas, to the South-East, from the ‘tabular’ Middle Atlas, to the North-West. Both xenolith suites record infiltration of sub-lithospheric melts that are akin to the Middle Atlas volcanism but were differentiated to variable degrees as a result of interactions with lithospheric mantle. However, while the Bou Ibalghatene mantle was densely traversed by high melt fractions, mostly focused in melt conduits, the Tafraoute suite records heterogeneous infiltration of smaller melt fractions that migrated diffusively, by intergranular porous flow. As a consequence the lithospheric mantle beneath Bou Ibalghaten was strongly modified by melt–rock interactions in the Cenozoic whereas the Tafraoute mantle preserves the record of extensional lithospheric thinning, most likely related to Mesozoic rifting. The two xenolith suites illustrate distinct mechanisms of lithospheric thinning: extensional thinning in Tafraoute, where hydrous incongruent melting triggered by decompression probably played a key role in favouring strain localisation, vs. thermal erosion in Bou Ibalghatene, favoured and guided by a dense network of melt conduits. Our results lend support to the suggestion that lithospheric thinning beneath the Atlas mountains results from the combination of different mechanisms and occurred in a piecewise fashion at a short wavelength scale.
ISSN: 0040-1951

hal-01171756
https://hal.archives-ouvertes.fr/hal-01171756
DOI : 10.1016/j.tecto.2014.11.020

Éditeur(s) : HAL CCSD
Résumé : International audience
The published literature related to distributed parameter systems theory is quite large, and it is not feasible in a single book to give a detailed review on the wide historical development of all of it. Our choice of what to cover was motivated by the following consideration. Since distributed parameter systems evolve in time and space, the research investigations on their analysis and control focus on considering the whole system domain for any study. We feel strongly that within this research field, animportant consideration was missing; that of considering that the system may give raise to prescribed subdomains (regions) where one has to achieve an objective. This is the case of so many applications ranging from engineering to life sciences. For that reason, covering classical prerequisite in analysis and control areas, we have devoted the book to the extension of the classical distributed parameter results to regional ones.Students of mathematics do not come into contacts with distributed parameter systems during their classes. They are introduced to them when they start research and often they are influenced by the knowledge and the advice of experimented scientists. This was our case at the very beginning of these research investigations in the mid 70’s. We would liketo express our special thanks to many of them and mainly late Professor Anthony J. Pritchard (University of Warwick, GB) and late Professor J.L. Lions (College de France) who were so encouraging in front of our determination in driving an academic carrier. We also express our thanks to our co-workers and research students. We wish to acknowledge the feedback from all those who took courses based on various parts of this book.This book may be used by graduate students in mathematics, engineering, physics, and even by students from other fields such as life or environmental sciences. This book may also be used as an information source for researchers and education professionals. We assume that the readers already know the basic concepts of analysis and control of distributedparameter systems.
https://hal.archives-ouvertes.fr/hal-01297188

ISBN : 978-2-35412-140-2
hal-01297188
https://hal.archives-ouvertes.fr/hal-01297188

Éditeur(s) : HAL CCSD
Résumé : International audience
La littérature existante sur la stabilité des systèmes est assez importante mais disparate et l’objet de ce livre est de réunir en un seul document les résultats essentiels sur la stabilité des systèmes dynamiques de dimension finie et leurs extensions dans le cas de dimension infinie. Comme les systèmes distribués évoluent dans le temps et l’espace, les explorations et les recherches sur leur stabilité étaient essentiellement centrées sur le domaine global dans lequel évolue le système. Nous avons fortement ressenti que, dans ce sens, des considérations importantes manquaient : celles qui consistentà considérer que le système peut faire l’objet d’intérêt dans une certaine région donnée de ce domaine global. Cela est le cas dans de nombreuses applications allant des sciences de l’ingénieur aux sciences du vivant. Pour cette raison, nous avons dédié cet ouvrage à une extension des résultats classiques au cas régional.Cet ouvrage s’adresse aux étudiants des licences et masters, aux élèves ingénieurs et aux chercheurs intéressés par la stabilité des systèmes dynamiques, sous diverses aspects. Il est organisé en suivant une difficulté croissante. Le premier chapitre portent sur la stabilité et la stabilisabilité des systèmes localisés (c’est-à-dire décrits par des équations différentielles ordinaires), puis sur la stabilité des systèmes linéaires distribués (c’est-à-diredécrits par des équations différentielles aux dérivées partielles). Les chapitres suivants concernent des aspects originaux et innovantsde la stabilité et la stabilisabilité de certaines classes de systèmes motivés par des applications réelles, c’est-à-dire les systèmes semilinéaireset bilinéaires. La stabilité de ces systèmes a été considérée d’un point de vue global et régional. Un aspect particulier concernant la stabilité du gradient a été également considéré pour diverses classes de systèmes.
https://hal.archives-ouvertes.fr/hal-01297263

ISBN : 978-2-35412-231-7
hal-01297263
https://hal.archives-ouvertes.fr/hal-01297263

Éditeur(s) : HAL CCSD
Résumé : International audience
The published literature related to distributed parameter systems theoryis quite large, and it is not feasible in a single book to give a detailedreview on the wide historical development of all of it. Our choice of whatto cover was motivated by the following consideration. Since distributedparameter systems evolve in time and space, the research investigationson their analysis and control focus on considering the whole system domainfor any study. We feel strongly that within this research field, animportant consideration was missing; that of considering that the systemmay give raise to prescribed subdomains (regions) where one has toachieve an objective. This is the case of so many applications rangingfrom engineering to life sciences. For that reason, covering classical prerequisitein analysis and control areas, we have devoted the book to theextension of the classical distributed parameter results to regional ones.Students of mathematics do not come into contacts with distributedparameter systems during their classes. They are introduced to themwhen they start research and often they are influenced by the knowledgeand the advice of experimented scientists. This was our case at the verybeginning of these research investigations in the mid 70’s. We would liketo express our special thanks to many of them and mainly late ProfessorAnthony J. Pritchard (University of Warwick, GB) and late Professor J.L. Lions (College de France) who were so encouraging in front of our determinationin driving an academic carrier. We also express our thanksto our co-workers and research students. We wish to acknowledge thefeedback from all those who took courses based on various parts of thisbook.This book may be used by graduate students in mathematics, engineering,physics, and even by students from other fields such as life orenvironmental sciences. This book may also be used as an informationvi Avant-propossource for researchers and education professionals. We assume that thereaders already know the basic concepts of analysis and control of distributedparameter systems.
https://hal.archives-ouvertes.fr/hal-01297261

ISBN : 978-2-35412-140-2
hal-01297261
https://hal.archives-ouvertes.fr/hal-01297261

Éditeur(s) : HAL CCSD
Résumé : International audience
La littérature existante sur la stabilité des systèmes est assez importantemais disparate et l’objet de ce livre est de réunir enun seul document les résultats essentiels sur la stabilité des systèmesdynamiques de dimension finie et leurs extensions dans le cas dedimension infinie. Comme les systèmes distribués évoluent dans letemps et l’espace, les explorations et les recherches sur leur stabilitéétaient essentiellement centrées sur le domaine global dans lequelévolue le système. Nous avons fortement ressenti que, dans ce sens,des considérations importantes manquaient : celles qui consistentà considérer que le système peut faire l’objet d’intérêt dans unecertaine région donnée de ce domaine global. Cela est le cas dansde nombreuses applications allant des sciences de l’ingénieur auxsciences du vivant. Pour cette raison, nous avons dédié cet ouvrageà une extension des résultats classiques au cas régional.
https://hal.archives-ouvertes.fr/hal-01297182

ISBN : 978-2-35412-231-7
hal-01297182
https://hal.archives-ouvertes.fr/hal-01297182