| 1. |
- Al Abdulaali, Ahmad, 1981-
(författare)
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The extendability of S-plurisubharmonic currents : = Sur le prolongement des courants S-plurisousharmoniques
- 2012
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Ingår i: Comptes rendus. Mathematique. - : Elsevier BV. - 1631-073X .- 1778-3569. ; 350:23-24, s. 1023-1026
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- This paper studies the extendability of negative S-plurisubharmonic current of bidimension (p,p) across a (2p-2)-dimensional closed set. Using only the positivity of S, we show that such extensions exist in the case when these obstacles are complete pluripolar, as well as zero sets of C2-plurisubharmoinc functions.
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| 2. |
- Becker, R., et al.
(författare)
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A finite element time relaxation method
- 2011
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Ingår i: Comptes Rendus Mathematique. - : Elsevier BV. - 1631-073X .- 1778-3569. ; 349:5-6, s. 353-356
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Tidskriftsartikel (refereegranskat)abstract
- We discuss a finite element time-relaxation method for high Reynolds number flows. The method uses local projections on polynomials defined on macroelements of each pair of two elements sharing a face. We prove that this method shares the optimal stability and convergence properties of the continuous interior penalty (CIP) method. We give the formulation both for the scalar convection-diffusion equation and the time-dependent incompressible Euler equations and the associated convergence results. This note finishes with some numerical illustrations. (C) 2010 Academic des sciences. Published by Elsevier Masson SAS. All rights reserved.
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| 3. |
- Borcea, Julius, et al.
(författare)
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Hyperbolicity preservers and majorization
- 2010
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Ingår i: Comptes rendus. Mathematique. - : Elsevier BV. - 1631-073X .- 1778-3569. ; 348:15-16, s. 843-846
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Tidskriftsartikel (refereegranskat)abstract
- The majorization order on R-n induces a natural partial ordering on the space of univariate hyperbolic polynomials of degree n. We characterize all linear operators on polynomials that preserve majorization, and show that it is sufficient (modulo obvious degree constraints) to preserve hyperbolicity.
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| 4. |
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| 5. |
- Evers, Joep, et al.
(författare)
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Well-posedness and approximation of a measure-valued mass evolution problem with flux boundary conditions
- 2014
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Ingår i: Comptes rendus. Mathematique. - : Elsevier. - 1631-073X .- 1778-3569. ; 352:1, s. 51-54
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Tidskriftsartikel (refereegranskat)abstract
- This Note deals with imposing a flux boundary condition on a non-conservative measure-valued mass evolution problem posed on a bounded interval. To establish the wellposedness of the problem, we exploit particle system approximations of the mass accumulation in a thin layer near the active boundary. We derive the convergence rate for the approximation procedure as well as the structure of the flux boundary condition in the limit problem.
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| 6. |
- Fan, Aihua, et al.
(författare)
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Multifractal analysis of multiple ergodic averages
- 2011
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Ingår i: Comptes Rendus Mathématique. - : Elsevier BV. - 1631-073X. ; 349:17-18, s. 961-964
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Tidskriftsartikel (refereegranskat)abstract
- In this Note we present a complete solution to the problem of multifractal analysis of multiple ergodic averages in the case of symbolic dynamics for functions of two variables depending on the first coordinate. (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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| 7. |
- Groves, Mark D., et al.
(författare)
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On the existence and conditional energetic stability of solitary water waves with weak surface tension
- 2010
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Ingår i: Comptes Rendus Mathématique. - : Elsevier BV. - 1631-073X. ; 348:7-8, s. 397-402
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Tidskriftsartikel (refereegranskat)abstract
- An existence and stability theory for solitary water waves with weak surface tension has recently been given by Buffoni (2005, 2009) [2,3]. The theory, which is variational in nature, relies upon the assumption that the infimum of the variational functional is strictly subhomogeneous with respect to a small parameter. In this Note we rigorously establish the relevant strict-subhomogeneity property and thus complete Buffoni's theory. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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| 8. |
- Katkova, Olga, et al.
(författare)
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MULTIPLIER SEQUENCES AND LOGARITHMIC MESH
- 2011
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Ingår i: Comptes rendus. Mathematique. - : Elsevier BV. - 1631-073X .- 1778-3569. ; 349:1-2, s. 35-38
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Tidskriftsartikel (refereegranskat)abstract
- In this note we prove a new result about (finite) multiplier sequences, i.e. linear operators acting diagonally in the standard monomial basis of R[x] and sending polynomials with all real roots to polynomials with all real roots. Namely, we show that any such operator does not decrease the logarithmic mesh when acting on an arbitrary polynomial having all roots real and of the same sign. The logarithmic mesh of such a polynomial is defined as the minimal quotient of its consecutive roots taken in the nondecreasing order of their absolute values.
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| 9. |
- Liu, Zhenxia, et al.
(författare)
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Probabilities of hitting a convex hull
- 2014
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Ingår i: Comptes rendus. Mathematique. - : Elsevier Masson. - 1631-073X .- 1778-3569. ; 352:11, s. 935-940
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Tidskriftsartikel (refereegranskat)abstract
- In this note, we consider the non-negative least-square method with a random matrix. This problem has connections with the probability that the origin is not in the convex hull of many random points. As related problems, suitable estimates are obtained as well on the probability that a small ball does not hit the convex hull.
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