First Order Approach to $$L^p$$ L p Estimates for the Stokes Operator on Lipschitz Domains
Alan Mcintosh
,
Sylvie Monniaux
10th International International Society for Analysis, its Applications and Computation Congress (ISAAC 2015) , Aug 2015, Macao, China. pp.55 - 75,
⟨10.1007/978-3-319-41945-9_3⟩
Conference papers
hal-01474843v1
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Maximal regularity for the Lamé system in certain classes of non-smooth domains
Marius Mitrea
,
Sylvie Monniaux
Journal articles
hal-00535697v1
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THE NONLINEAR HODGE-NAVIER-STOKES EQUATIONS IN LIPSCHITZ DOMAINS
Marius Mitrea
,
Sylvie Monniaux
Differential and integral equations , 2009, 22 (3-4), pp.339-356
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hal-00535704v1
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Well-posedness for the Boussinesq system in critical spaces via maximal regularity
Lorenzo Brandolese
,
Sylvie Monniaux
2020
Preprints, Working Papers, ...
hal-03038112v2
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Le système de Navier-Stokes avec force de Coriolis dans un demi-espace à bord rugueux
Sylvie Monniaux
EDP Normandie , Oct 2013, Caen, France. pp.75-86
Conference papers
hal-01285372v1
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Well-posedness results for the Navier-Stokes equations in the rotational framework
Matthias Hieber
,
Sylvie Monniaux
Journal articles
hal-01285328v1
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Groupoid metrization theory
Dorina Mitrea
,
Irina Mitrea
,
Marius Mitrea
,
Sylvie Monniaux
Birkhaüser, pp.XII, 479, 2013, Applied and numerical harmonic analysis, John J. Benedetto, 978-0-8176-8396-2.
⟨10.1007/978-0-8176-8397-9⟩
Books
hal-01285362v1
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The regularity of the Stokes operator and the Fujita–Kato approach to the Navier–Stokes initial value problem in Lipschitz domains
Marius Mitrea
,
Sylvie Monniaux
Journal articles
hal-00535666v1
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Existence in critical spaces for the magnetohydrodynamical system in 3D bounded Lipschitz domains
Sylvie Monniaux
2021
Preprints, Working Papers, ...
hal-03158650v1
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The maximal regularity operator on tent spaces
Pascal Auscher
,
Sylvie Monniaux
,
Pierre Portal
Communications on Pure and Applied Analysis , 2012, 11 (6), pp.2213-2219
Journal articles
hal-00531814v3
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Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in L^p spaces on Lipschitz domains
Alan Mcintosh
,
Sylvie Monniaux
Revista Matemática Iberoamericana , 2018, 34 (4), pp.1711-1753
Journal articles
hal-01351604v1
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Heat-kernels and maximal Lp − Lq−estimates: the non-autonomous case
Matthias Hieber
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Sylvie Monniaux
Journal of Fourier Analysis and Applications , 2000, 6 (5), pp.467-482
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hal-00535645v1
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On the analyticity of the semigroups generated by the Hodge-Laplacian, and by the Stokes and Maxwell operators on Lipschitz subdomains of Riemannian manifolds
Marius Mitrea
,
Sylvie Monniaux
Transactions of the American Mathematical Society , 2009, 361 (6), pp.3125-3157
Journal articles
hal-00535701v1
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Traces of non regular vector fields on Lipschitz domains
Sylvie Monniaux
Operator semigroups meet complex analysis, harmonic analysis and mathematical physics , Jun 2013, Herrnhut, Germany. 250, Birkhaüser, pp.343-351, 2015, Operator Theory Advances and Applications
Proceedings
hal-00943142v1
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A three line proof for traces of H1 functions on special Lipschitz domains
Sylvie Monniaux
Ulmer Seminare , 2014, pp.355-356
Journal articles
hal-00984231v1
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The Poisson Problem for the Exterior Derivative Operator with Dirichlet Boundary Condition on Nonsmooth Domains
Dorina Mitrea
,
Marius Mitrea
,
Sylvie Monniaux
Journal articles
hal-00535692v1
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Behaviour of the Stokes operators under domain perturbation
Sylvie Monniaux
Science China Mathematics , 2019, 62 (6), pp.1167-1174
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hal-02071564v2
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On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients
Pascal Auscher
,
Sylvie Monniaux
,
Pierre Portal
Annali della Scuola Normale Superiore di Pisa , 2019, 19 (5), pp.387-471
Journal articles
hal-01228914v2
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Singular integral operators on tent spaces
Pascal Auscher
,
Christoph Kriegler
,
Sylvie Monniaux
,
Pierre Portal
Journal of Evolution Equations , 2012, 12 (4), pp.741-765
Journal articles
hal-00653244v2
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L p −BOUNDS FOR THE RIESZ TRANSFORMS ASSOCIATED WITH THE HODGE LAPLACIAN IN LIPSCHITZ SUBDOMAINS OF RIEMANNIAN MANIFOLDS
Steve Hofmann
,
Marius Mitrea
,
Sylvie Monniaux
Annales de l'Institut Fourier , 2011, 61 (4), pp.1323-1349
Journal articles
hal-01285349v1
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Stokes Problems in Irregular Domains with Various Boundary Conditions
Sylvie Monniaux
,
Zongwei Shen
Yoshikazu Giga, Antonin Novotny
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids , 59, Springer, pp.1-42, 2016, 978-3-319-10151-4.
⟨10.1007/978-3-319-10151-4_4-1⟩
Book sections
hal-01481981v1
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Maximal regularity for non-autonomous Robin boundary conditions
Wolfgang Arendt
,
Sylvie Monniaux
Mathematical News / Mathematische Nachrichten , 2016, 283 (11-12), pp.1325-1340
Journal articles
hal-01073811v2
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The Stokes operator with Neumann boundary conditions in Lipschitz domains
Marius Mitrea
,
Sylvie Monniaux
,
Matthew Wright
Journal articles
hal-01285354v1
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Navier-Stokes equations in arbitrary domains: the Fujita-Kato scheme
Sylvie Monniaux
Mathematical Research Letters , 2006, 13 (3), pp.455-461
Journal articles
hal-00535671v1
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Various boundary conditions for Navier-Stokes equations in bounded Lipschitz domains
Sylvie Monniaux
Discrete and Continuous Dynamical Systems - Series S , 2013, 6 (5), pp.1355-1369
Journal articles
hal-00651390v1
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The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions
Sylvie Monniaux
,
El Maati Ouhabaz
Journal of Mathematical Fluid Mechanics , 2015, 17, pp.707-722
Journal articles
hal-01006358v1
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