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Dorin BUCUR
Professeur Laboratoire de Mathématiques CNRS UMR 5127
e-mail dorin.bucur_at_univ-savoie.fr
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List of publications (on MathSciNet) Preprints Research Curriculum Vitae Teaching/Enseignement (French)
Recent papers:
A variational approach to the isoperimetric inequality for the Robin eigenvalue problem (with A. Giacomini), to appear in Arch. Ration. Mech. Anal. 2010.
On the characterization of the compact embedding of Sobolev spaces (with G. Buttazzo), Preprint CVGMT, Scuola Normale Superiore Pisa 2009.
Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions (with E. Feireisl, S. Necasova) to appear in Arch. Ration. Mech. Anal. 2009.
Optimal partitions for eigenvalues (with B. Bourdin, E. Oudet) to appear in SIAM J. of Scientific Computing 2009.
How to Choose Interpolation Data in Images (with Z. Belhachmi, B. Burgeth, J. Weickert), to appear in SIAM J. of Appl. Maths. 2009, Preprint version.
An alternative approach to the Faber-Krahn inequality for Robin problems (with D. Daners), to appear in Calculus of Variations and PDEs 2009, Preprint version.
Minimization of $\lambda_2 (\Omega)$ with a perimeter constraint (with G. Buttazzo and A. Henrot) to appear in Indiana University Mathematics Journal 2009, Preprint version.
The rugosity effect, Jindrich Necas Center for Mathematical Modeling Lecture Notes Volume 5 "Qualitative properties of solutions to partial differential equations", E. Feireisl, P. Kaplicky and J. Malek Editors, 1--24, 2009 (survey of the talks given at the Necas Center for Mathematical Modeling, Prague).
On the first eigenvalue of a fourth order Steklov problem (with A. Ferrero and F. Gazzola), Calculus of Variations and PDEs 35 (2009), 103--131. Preprint version.
On the asymptotic limit of the Navier-Stokes system with rough boundaries (with E. Feireisl, S. Necasova and J. Wolf), Journal of Differential Equations, 244 (2008), no. 11, 2890--2908. Preprint version.
Quasistatic Evolution in Debonding Problems via Capacitary Methods (with G. Buttazzo and A. Lux), Arch. Ration. Mech. Anal. 190 (2008), no. 2, 281--306. Preprint version.
On the asymptotic limit of flows past a ribbed boundary (with E. Feireisl and S. Necasova), J. Math. Fluid Mech. 10 (2008), no. 4, 554--568. Preprint version.
Influence of wall roughness on the slip behavior of viscous fluids (with E. Feireisl and S. Necasova), Proc. Royal Soc. Edinburgh Sec. A. 138 (2008), no. 5, 957--973.. Preprint version.Weak semi-continuity of the duality product
in Sobolev spaces ( J. Funct.
Anal. 236 (2006), no. 2, 712--725). Preprint version.
Shape optimization problems
for eigenvalues of
elliptic operators (Zeitschrift
für Angewandte Mathematik und Mechanik, 86
(2006),
no. 3, 171--184) (joint
paper with Z. Belhachmi, G.
Buttazzo and
J.-M. Sac-Epée). Please send an e-mail for a
reprint.
Asymptotic analysis and
scaling of friction
parameters (with Ioan R. Ionescu) (Zeitschrift für Angewandte
Mathematik und Physik, 2005). Please send
an
e-mail for a
reprint.
How to prove existence in shape optimization (Control and Cybernetics, 34 (2005), no. 1, 103--116). Preprint version.
Finite element approximation of the Neumann eigenvalue problem in domains with multiple cracks (with Z. Belhachmi and J.-M. Sac-Epée) ( IMA J. of Numerical Analysis, 26 (2006), no. 4, 790--810).![]() |
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