{"id":21656,"date":"2023-10-14T11:51:35","date_gmt":"2023-10-14T09:51:35","guid":{"rendered":"https:\/\/www.ummto.dz\/fs\/?p=21656"},"modified":"2023-10-14T12:00:58","modified_gmt":"2023-10-14T10:00:58","slug":"avis-de-soutenance-de-doctorat-en-mathematiques-de-m-guerdaoui-rabah","status":"publish","type":"post","link":"https:\/\/www.ummto.dz\/fs\/avis-de-soutenance-de-doctorat-en-mathematiques-de-m-guerdaoui-rabah\/","title":{"rendered":"Avis de soutenance de Doctorat en Math\u00e9matiques de M. Guerdaoui Rabah"},"content":{"rendered":"

[et_pb_section fb_built=\u00a0\u00bb1″ _builder_version=\u00a0\u00bb4.19.5″ _module_preset=\u00a0\u00bbdefault\u00a0\u00bb custom_margin=\u00a0\u00bb|-105px||||\u00a0\u00bb custom_padding=\u00a0\u00bb|144px||||\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_row _builder_version=\u00a0\u00bb4.19.5″ _module_preset=\u00a0\u00bbdefault\u00a0\u00bb width=\u00a0\u00bb100%\u00a0\u00bb max_width=\u00a0\u00bb2524px\u00a0\u00bb custom_margin=\u00a0\u00bb|-496px||71px||\u00a0\u00bb custom_padding=\u00a0\u00bb|0px||||\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4″ _builder_version=\u00a0\u00bb4.19.5″ _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_accordion _builder_version=\u00a0\u00bb4.22.2″ _module_preset=\u00a0\u00bbdefault\u00a0\u00bb toggle_text_color=\u00a0\u00bb#E02B20″ toggle_font=\u00a0\u00bbAdamina|700|||||||\u00a0\u00bb toggle_text_align=\u00a0\u00bbjustify\u00a0\u00bb toggle_font_size=\u00a0\u00bb23px\u00a0\u00bb width=\u00a0\u00bb100%\u00a0\u00bb hover_enabled=\u00a0\u00bb0″ global_colors_info=\u00a0\u00bb{}\u00a0\u00bb sticky_enabled=\u00a0\u00bb0″][et_pb_accordion_item title=\u00a0\u00bbAvis de Soutenance de Doctorat 3\u00e8me cycle LMD en Math\u00e9matiques de Monsieur Gherdaoui Rabah\u00a0\u00bb open=\u00a0\u00bbon\u00a0\u00bb _builder_version=\u00a0\u00bb4.22.2″ _module_preset=\u00a0\u00bbdefault\u00a0\u00bb body_font=\u00a0\u00bb|600|||||||\u00a0\u00bb body_text_color=\u00a0\u00bb#000000″ global_colors_info=\u00a0\u00bb{}\u00a0\u00bb toggle_font_size=\u00a0\u00bb19px\u00a0\u00bb]<\/p>\n

Monsieur \u00a0Rabah Ghedaoui <\/span><\/strong>soutiendra sa th\u00e8se de Doctorat 3\u00e8me cycle LMD\u00a0 en Math\u00e9matiques,\u00a0 <\/span><\/strong><\/p>\n

Sp\u00e9cialit\u00e9<\/span><\/strong>: <\/span>\u00a0Analyse Math\u00e9matique et Applications<\/span>,\u00a0<\/span><\/strong><\/p>\n

le lundi 16<\/strong><\/span> octobre 2023<\/span>\u00a0<\/strong><\/span>\u00e0 09<\/strong><\/span>h30<\/strong><\/span>.<\/span><\/p>\n

Lieu\u00a0: Salle de soutenance de la Facult\u00e9 des Sciences<\/strong><\/p>\n

Intitul\u00e9\u00a0de la th\u00e8se\u00a0:<\/p>\n

Equation de transport-diffusion et applications <\/strong><\/span><\/p>\n

Devant le jury d\u2019examen compos\u00e9 de\u00a0:<\/p>\n\n\n\n\n\n\n\n\n
Leila RAHMANI<\/td>\nProfesseur<\/td>\nUMMTO<\/td>\nPr\u00e9sidente<\/td>\n<\/tr>\n
FUJITA YASHIMA Hisao<\/td>\nProfesseur<\/td>\nENSC<\/td>\nDirecteur de th\u00e8se<\/td>\n<\/tr>\n
Lynda TALEB<\/td>\nMCB<\/td>\nUMMTO<\/td>\nCo-directrice de th\u00e8se<\/td>\n<\/tr>\n
MOULAY\u00a0 Mohamed\u00a0 Said<\/td>\nProfesseur<\/td>\nUSTHB<\/td>\nExaminateur<\/td>\n<\/tr>\n
GUEDDA\u00a0 Lahc\u00e8ne<\/td>\nProfesseur<\/td>\nUniv. Tiaret<\/td>\nExaminateur<\/td>\n<\/tr>\n
Mannal SMAALI<\/td>\nMCA<\/td>\nUMMTO<\/td>\nExaminatrice<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/strong><\/p>\n

Le public est cordialement invit\u00e9<\/strong><\/p>\n

R\u00e9f\u00a0:\u00a0D\u00e9cision de soutenance N\u00b068\/VRPGRS\/2023 du 05\/10\/2023<\/strong><\/span><\/p>\n

T\u00e9l\u00e9charger :\u00a0<\/strong><\/span>Avis de Soutenance de Gherdaoui<\/a><\/strong><\/span><\/p>\n

[\/et_pb_accordion_item][et_pb_accordion_item title=\u00a0\u00bbR\u00e9sum\u00e9 de la th\u00e8se\u00a0\u00bb _builder_version=\u00a0\u00bb4.22.2″ _module_preset=\u00a0\u00bbdefault\u00a0\u00bb text_orientation=\u00a0\u00bbjustified\u00a0\u00bb hover_enabled=\u00a0\u00bb0″ global_colors_info=\u00a0\u00bb{}\u00a0\u00bb open=\u00a0\u00bboff\u00a0\u00bb sticky_enabled=\u00a0\u00bb0″]<\/p>\n

\u00a0L’objectif de ce travail est de construire une famille de solutions approch\u00e9es pour l’\u00e9quation de transport-diffusion dans le demi-espace $\\mathbb{R}^d_+$ avec une condition aux limites de Dirichlet homog\u00e8ne. Pour cela, nous utilisons le noyau de la chaleur et la translation pour d\u00e9crire le transport \u00e0 chaque pas de temps discr\u00e9tis\u00e9. Nous d\u00e9montrons la convergence uniforme de cette famille de solutions approch\u00e9es ainsi que de leurs d\u00e9riv\u00e9es premi\u00e8res par rapport aux variables spatiales. De plus, nous d\u00e9montrons la convergence ponctuelle des ses d\u00e9riv\u00e9es secondes par rapport aux variables spatiales. En outre, nous montrons que la fonction limite satisfait l’\u00e9quation de transport-diffusion dans le demi-espace $\\mathbb{R}^d_+$ avec des conditions aux limites homog\u00e8nes. Du point de vue technique, il est essentiel d\u2019\u00e9laborer l\u2019estimation des d\u00e9riv\u00e9es troisi\u00e8mes des solutions approch\u00e9es par rapport aux variables spatiales en tenant compte de l\u2019influence des conditions aux limites.<\/span><\/p>\n

 <\/p>\n

 <\/p>\n

[\/et_pb_accordion_item][et_pb_accordion_item title=\u00a0\u00bbThesis summary\u00a0\u00bb _builder_version=\u00a0\u00bb4.22.2″ _module_preset=\u00a0\u00bbdefault\u00a0\u00bb body_text_align=\u00a0\u00bbjustify\u00a0\u00bb hover_enabled=\u00a0\u00bb0″ global_colors_info=\u00a0\u00bb{}\u00a0\u00bb open=\u00a0\u00bboff\u00a0\u00bb sticky_enabled=\u00a0\u00bb0″]<\/p>\n

In this work, a family of approximate solutions for transport-diffusion equation in the half-space $\\mathbb{R}^d_+$ is constructed. They are defined by using the heat kernel and the translation representing transport on each step of time discretization. The point-wise convergence of these approximate solutions and that of their first and second derivatives with respect to the space variables are proved. We show also that the limit function satisfies the transport-diffusion equation in the half-space with homogenous boundary conditions. From the technical point of view it is essential to put up the estimate of the third derivatives of approximate solutions with respect to the space variables, taking into account the influence of the boundary conditions.<\/span><\/p>\n

[\/et_pb_accordion_item][\/et_pb_accordion][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

Monsieur \u00a0Rabah Ghedaoui soutiendra sa th\u00e8se de Doctorat 3\u00e8me cycle LMD\u00a0 en Math\u00e9matiques,\u00a0 Sp\u00e9cialit\u00e9: \u00a0Analyse Math\u00e9matique et Applications,\u00a0 le lundi 16 octobre 2023\u00a0\u00e0 09h30. Lieu\u00a0: Salle de soutenance de la Facult\u00e9 des Sciences Intitul\u00e9\u00a0de la th\u00e8se\u00a0: Equation de transport-diffusion et applications Devant le jury d\u2019examen compos\u00e9 de\u00a0: Leila RAHMANI Professeur UMMTO Pr\u00e9sidente FUJITA YASHIMA Hisao […]<\/p>\n","protected":false},"author":13,"featured_media":6032,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[1,9],"tags":[],"class_list":["post-21656","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-non-classe","category-new_dep_maths"],"yoast_head":"\nAvis de soutenance de Doctorat en Math\u00e9matiques de M. 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