1,168 research outputs found
Elliptic Problems With L1-data In The Half-space
No full textIn this paper, we study the div-curl-grad operators and some el- liptic problems in the half-space Rn +, with n 2. We consider data in weighted Sobolev spaces and in L1.53369397Adams, R.A., Fournier, J.J., (2003) Sobolev Spaces," Second Edition, Pure and Applied Math- Ematics (Amsterdam), p. 140. , Elsevier/Academic Press, AmsterdamAmrouche, C., The Neumann problem in the half-space (2002) Comptes Rendus Mathematique, 335 (2), pp. 151-156. , DOI 10.1016/S1631-073X(02)02428-7, PII S1631073X02024287Amrouche, C., Girault, V., Giroire, J., Weighted Sobolev spaces for Laplace's equation in Rn (1994) Journal de Mathematiques Pures et Appliquees (9), 73, pp. 579-606Amrouche, C., Girault, V., Giroire, J., Dirichlet and Neumann exterior problems for the n-dimensional Laplace operator an approach in weighted Sobolev spaces (1997) Journal des Mathematiques Pures et Appliquees, 76 (1), pp. 55-81Amrouche, C., Necasova, S., Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition (2001) Proceedings of Partial Differential Equations and Applications (Olomouc, 1999), Mathematica Bohemica, 126, pp. 265-274Amrouche, C., Necasova, S., Raudin, Y., Very weak, generalized and strong solutions to the Stokes system in the half-space (2008) Journal of Differential Equations, 244, pp. 887-915Amrouche, C., Necasova, S., Raudin, Y., From strong to very weak solutions to the Stokes system with Navier boundary conditions in the half-space (2009) SIAM J. Math. Anal., 41, pp. 1792-1815Bourgain, J., Brezis, H., On the equation div Y = f and application to control of phases (2003) Journal of the American Mathematical Society, 16 (2), pp. 393-426. , DOI 10.1090/S0894-0347-02-00411-3Bourgain, J., Brezis, H., New estimates for elliptic equations and Hodge type systems (2007) Journal of the European Mathematical Society, 9, pp. 277-315Bourgain, J., Brezis, H., Sur l'equation div u = f (2002) Comptes Rendus de l'Academie des Sciences de Paris, 334, pp. 973-976Bourgain, J., Brezis, H., New estimates for the Laplacian, the div-curl, and related Hodge systems (2004) Comptes Rendus Mathematique, 338 (7), pp. 539-543. , DOI 10.1016/j.crma.2003.12.031, PII S1631073X04000329Brezis, H., Van Schaftingen, J., Boundary extimates for elliptic systems with L1-data (2007) Calculus of Variations and Partial Differential Equations, 30, pp. 369-388Deny, J., Lions, J.L., Les espaces du type de Beppo Levi (1953) Annales de l'Institut Fourier, Grenoble, 5, pp. 305-370Girault, V., The gradient, divergence, curl and Stokes operators in weighted Sobolev spaces of R3 (1992) Journal of the Faculty of Science, 39, pp. 279-307. , The University of Tokyo, Sect. IA MathHanouzet, B., Espaces de Sobolev avec poids application au probleme de Dirichlet dans un demi espace (1971) Rendiconti Del Seminario Matematico della Universite di Padova, 46, pp. 227-272Van Schaftingen, J., Estimates for L1-vector elds (2004) Comptes Rendus de l'Academie des Sci- Ences de Paris, 339, pp. 181-18
New Estimates For The Div-curl-grad Operators And Elliptic Problems With L1-data In The Whole Space And In The Half-space
No full textIn this paper, we study the div-curl-grad operators and some elliptic problems in the whole space Rn and in the half-space R+n, with n≥2. We consider data in weighted Sobolev spaces and in L1. © 2011 Elsevier Inc.250731503195Adams, R.A., (2003) Sobolev Spaces, , Academic Press, New YorkAlliot, F., Amrouche, C., The Stokes problem in Rn: an approach in weighted Sobolev spaces (1999) Math. Models Methods Appl. Sci., 9, pp. 723-754Amrouche, C., The Neumann problem in the half-space (2002) C. R. Acad. Sci. Paris, I 335, pp. 151-156Amrouche, C., Girault, V., Giroire, J., Weighted Sobolev spaces for the Laplace equation in Rn (1994) J. Math. Pures Appl., 73 (6), pp. 579-606Amrouche, C., Girault, V., Giroire, J., Dirichlet and Neumann exterior problems for the n-dimensional Laplace operator: an approach in weighted Sobolev spaces (1997) J. Math. Pures Appl., 76 (1), pp. 55-81Amrouche, C., Neasová, S., Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition (2001) Math. Bohem., 126 (2), pp. 265-274Amrouche, C., Neasová, S., Raudin, Y., Very weak, generalized and strong solutions to the Stokes system in the half-space (2008) J. Differential Equations, 244, pp. 887-915Amrouche, C., Raudin, Y., From strong to very weak solutions to the Stokes system with Navier boundary conditions in the half-space (2009) SIAM J. Math. Anal., 41 (5), pp. 1792-1815Amrouche, C., Razafison, U., The stationary Oseen equations in R3. An approach in weighted Sobolev spaces (2007) J. Math. Fluids Mech., 9 (2), pp. 211-225Bourgain, J., Brézis, H., On the equation divY=f and application to control of phases (2002) J. Amer. Math. Soc., 16 (2), pp. 393-426Bourgain, J., Brézis, H., New estimates for elliptic equations and Hodge type systems (2007) J. Eur. Math. Soc. (JEMS), 9 (2), pp. 277-315Bourgain, J., Brézis, H., Sur l'équation divu=f (2002) C. R. Acad. Sci. Paris, I 334, pp. 973-976Bourgain, J., Brézis, H., New estimates for the Laplacian, the div-curl, and related Hodge systems (2003) C. R. Acad. Sci. Paris, I 338, pp. 539-543Brézis, H., (1999) Analyse fonctionnelle: Théorie et applications, , Dunod, ParisBrézis, H., Van Schaftingen, J., Boundary estimates for elliptic systems with L1-data (2007) Calc. Var. Partial Differential Equations, 30 (3), pp. 369-388Deny, J., Lions, J.L., Les espaces du type de Beppo Levi (1954) Ann. Inst. Fourier (Grenoble), 5, pp. 305-370Girault, V., The gradient, divergence, curl and Stokes operators in weighted Sobolev spaces of R3 (1992) J. Math. Sci. Univ. Tokyo (Sec. IA), 39 (2), pp. 279-307Hanouzet, B., Espaces de Sobolev avec poids application au problème de Dirichlet dans un demi espace (1971) Rend. Semin. Mat. Univ. Padova, 46, pp. 227-272Miyakawa, T., Hardy spaces of solenoidal vector fields, with applications to the Navier-Stokes equations (1996) Kyushu J. Math., 50, pp. 1-64Miyakawa, T., On L1-stability of stationary Navier-Stokes flows in Rn (1997) J. Math. Sci. Univ. Tokyo, 4, pp. 67-119Payne, L.E., Weinberger, H.F., Note on a lemma of Finn and Gilbarg (1957) Acta Math., 98, pp. 297-299Van Schaftingen, J., Estimates for L1-vector fields (2004) C. R. Acad. Sci. Paris, I 339, pp. 181-18
New Estimates For The Div, Curl, Grad Operators And Elliptic Problems With L1-data In The Half-space
No full textIn this Note, we study some properties of the div, curl, grad operators and elliptic problems in the half-space. We consider data in weighted Sobolev spaces and in L1. © 2011 Elsevier Ltd. All rights reserved.245697702Amrouche, C., Girault, V., Giroire, J., Weighted Sobolev spaces for the Laplace equation in Rn (1994) Journal de Mathematiques Pures et Appliquees, 73 (6), pp. 579-606Bourgain, J., Brzis, H., On the equation div Y=f and application to control of phases (2002) Journal of the American Mathematical Society, 16 (2), pp. 393-426Bourgain, J., Brzis, H., New estimates for elliptic equations and Hodge type systems (2007) Journal of the European Mathematical Society, 9 (2), pp. 277-315Brzis, H., Schaftingen, J.V., Boundary estimates for elliptic systems with L1-data (2007) Calculus of Variations and Partial Differential Equations, 30 (3), pp. 369-388Amrouche, C., Neasov, S., Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition (2001) Acta Mathematica Scientia, 126 (2), pp. 265-274Van Schaftingen, J., Estimates for L1-vector fields (2004) Comptes Rendus de l'Acadmie des Sciences. Srie i, 339, pp. 181-186Girault, V., The gradient, divergence, curl and Stokes operators in weighted Sobolev spaces of R3 (1992) Journal of the Faculty of Science, the University of Tokyo, Section IA, 39 (2), pp. 279-307Amrouche, C., The Neumann problem in the half-space (2002) Comptes Rendus de l'Acadmie des Sciences. Srie i, 335, pp. 151-15
Search for heavy diboson resonances in semileptonic final states in pp collisions at s=13 TeV with the ATLAS detector
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Reversed assimilation in French Algeria : the geographical and religious anti-colonialism of Eberhardt, Amrouche, Sénac, and Haddad
No full textFrench-language Algerian literature possesses a rich tradition of creativity and political commentary. As early as the 1890s, writers like Louis Bertrand and Isabelle Eberhardt moved from the Orientalist style of littérature d’escale to describe the Algerian territory from a local and regional standpoint. However, the French conquest in the mid-nineteenth century and the Algerian war of independence in the mid-twentieth have monopolized the discourse in the current wars of memory to the point of eclipsing the period of settler colonialism under the Third Republic. In 2021, historian Benjamin Stora argued that dwelling on that period risked feeding the “disease” of pied-noir nostalgia. Literary studies have also overlooked this interregnum except for monographs like Émile Témine’s Un rêve méditerranéen, Peter Dunwoodie’s Francophone Writing in Transition and Seth Graebner’s History's Place. This dissertation revisits four literary counter-discourses of the first decades of the twentieth century, analyzing how non-canonical francophone authors resisted dominant settler culture and negotiated the meaning of being Algérien in times of political turmoil. Through the lens of cultural history, I demonstrate how four French-Algerian authors—Isabelle Eberhardt, Taos Amrouche, Jean Sénac and Malek Haddad, each with their respective
chapter—cultivated Muslim, Arab or Berber identities pre-independence as avatars of a counter-valorization against French republicanism although they were themselves raised European or Europeanized. I argue that their lives and literary works trace an arc of “reversed assimilation” predicated on geographical rootedness and religious connectedness. While most settler authors looked to the pagan humanism or imperialism of ancient Greece and Rome, the authors of my corpus drew from the spatial myths of Al-Andalus, the Sahara, and Kabylia as sites of resistance, piety, and inclusivity. As such, I read them as precursors to the francophone postcolonial movement, and as a corpus, they offer a counter-cultural take on what Abdelmajid Hannoum called “colonial modernity” in The Invention of the Maghreb (2021). This dissertation makes the claim that although the goals and visions of these authors largely failed to materialize, they can continue to inform recent debates around secularism and assimilation in postcolonial France.French and Italia
Measurement of the c-jet mistagging efficiency in tt ̄ events using pp collision data at √s=13 TeV collected with the ATLAS detector
No full textA technique is presented to measure the efficiency with which c-jets are mistagged as b-jets (mistagging efficiency) using tt ̄ events, where one of the W bosons decays into an electron or muon and a neutrino and the other decays into a quark–antiquark pair. The measurement utilises the relatively large and known W→ cs branching ratio, which allows a measurement to be made in an inclusive c-jet sample. The data sample used was collected by the ATLAS detector at s=13 TeV and corresponds to an integrated luminosity of 139 fb- 1. Events are reconstructed using a kinematic likelihood technique which selects the mapping between jets and tt ̄ decay products that yields the highest likelihood value. The distribution of the b-tagging discriminant for jets from the hadronic W decays in data is compared with that in simulation to extract the mistagging efficiency as a function of jet transverse momentum. The total uncertainties are in the range 3–17%. The measurements generally agree with those in simulation but there are some differences in the region corresponding to the most stringent b-jet tagging requirement
Advancement of the Oxidized State of an As-Cast Low-Mn, High-Cr Cantor’s Alloy in Natural Air at 1000 °C
No full textIn order to discover how the multiple oxides observed in the final external scales after long exposure of a low-Mn, high-Cr Cantor’s alloy to hot air were formed, oxidation tests in a furnace were performed for seven different durations. Metallographic characterization was carried out concerning the oxidation products obtained after each test duration. The different oxides did not appear one after the other, but simultaneously, early on in the exposure to hot air and after. They all thickened progressively and the chemical composition of each also evolved with time, more or less. Globally, the innermost oxide is almost entirely chromia, much richer in Cr than in Mn, while the outermost one contains principally Mn. The interrupted tests also allowed specifying the mass gain kinetic, which is parabolic and twice as fast as a chromia-forming alloy. Despite the lowered content in Mn, manganese still plays an important role in the oxidation phenomenon, starting very early
Measurement of the c-jet mistagging efficiency in tt¯ events using pp collision data at √s=13 TeV collected with the ATLAS detector
No full textA technique is presented to measure the efficiency with which c-jets are mistagged as b-jets (mistagging efficiency) using tt¯ events, where one of the W bosons decays into an electron or muon and a neutrino and the other decays into a quark–antiquark pair. The measurement utilises the relatively large and known W→ cs branching ratio, which allows a measurement to be made in an inclusive c-jet sample. The data sample used was collected by the ATLAS detector at s=13 TeV and corresponds to an integrated luminosity of 139 fb- 1. Events are reconstructed using a kinematic likelihood technique which selects the mapping between jets and tt¯ decay products that yields the highest likelihood value. The distribution of the b-tagging discriminant for jets from the hadronic W decays in data is compared with that in simulation to extract the mistagging efficiency as a function of jet transverse momentum. The total uncertainties are in the range 3–17%. The measurements generally agree with those in simulation but there are some differences in the region corresponding to the most stringent b-jet tagging requirement
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