| 1. |
- Constantin, Adrian, et al.
(författare)
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Exact periodic traveling water waves with vorticity
- 2002
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Ingår i: Comptes Rendus Mathématique. - 1631-073X. ; 335:10, s. 797-800
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Tidskriftsartikel (refereegranskat)abstract
- For the classical inviscid water wave problem under the influence of gravity, described by the Euler equation with a free surface over a flat bottom, we construct periodic traveling waves with vorticity. They are symmetric waves whose profiles are monotone between each crest and trough. We use global bifurcation theory to construct a connected set of such solutions. This set contains flat waves as well as waves that approach flows with stagnation points.
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| 2. |
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| 3. |
- Gustafsson, Björn, et al.
(författare)
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Explicit limits for nonperiodic homogenization and reduction of dimension
- 2002
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Ingår i: Comptes rendus. Mathematique. - 1631-073X .- 1778-3569. ; 334:11, s. 977-982
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Tidskriftsartikel (refereegranskat)abstract
- The aim of this Note is to give explicit limit expressions. for diffusion equations involving a small parameter E, describing both nonperiodic homogenization and reduction of dimension. We consider two kinds of reduction of dimension: the case of plates and the case of thin cylinders. In particular, we give the limit diffusion equation for stratified plates. This is completely explicit and requires no special assumption, except stratification. In the case of thin cylinders, the formulae are less explicit, but we also indicate some simple applications to fibered materials.
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| 4. |
- Borcea, Julius, et al.
(författare)
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Hyperbolic polynomials and spectral order
- 2003
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Ingår i: Comptes rendus. Mathematique. - : Elsevier BV. - 1631-073X .- 1778-3569. ; 337:11, s. 693-698
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Tidskriftsartikel (refereegranskat)
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| 5. |
- Coquand, Thierry, 1961
(författare)
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Sur un théorème de Kronecker concernant les variétés algébriques : On a theorem of Kronecker about algebraic sets
- 2004
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Ingår i: Comptes rendus. Mathematique. - : Elsevier BV. - 1631-073X. ; 338:4, s. 291-294
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Tidskriftsartikel (refereegranskat)abstract
- Résumé Un résultat classique de Kronecker, énoncé à la fin de la Section 10 de Kronecker (J. Reine Angew. Math. 92 (1882) 1–123), est que le radical d'un idéal de type fini dans un anneau de polynômes à n variables est le radical d'un idéal engendré par n+1 éléments. Nous présentons une preuve constructive et élémentaire d'une généralisation de ce théorème due à Heitmann (Michigan Math. J. 31 (1984) (2) 167–180) : dans un anneau de dimension de Krull ⩽n tout radical d'un idéal de type fini est le radical d'un idéal engendré par n+1 éléments. Abstract A classical result of Kronecker, stated at the end of the Section 10 of Kronecker (J. Reine Angew. Math. 92 (1882) 1–123), is that any radical of a finitely generated ideal in a polynomial ring of n variables is the radical of an ideal generated by n+1 elements. We give a constructive and elementary proof of a generalisation presented in (Michigan Math. J. 31 (1984) (2) 167–180): in a ring of Krull dimension ⩽n a radical of a finitely generated ideal is the radical of an ideal generated by n+1 elements.
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| 6. |
- Coquand, Thierry, 1961
(författare)
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Sur un théorème de Kronecker concernant les variétés algébriques
- 2004
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Ingår i: Comptes Rendus Mathematique. - : Elsevier BV. - 1631-073X. ; 338:4, s. 291-294
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Tidskriftsartikel (refereegranskat)abstract
- RésuméUn résultat classique de Kronecker, énoncé à la fin de la Section 10 de Kronecker (J. Reine Angew. Math. 92 (1882) 1–123), est que le radical d'un idéal de type fini dans un anneau de polynômes à n variables est le radical d'un idéal engendré par n+1 éléments. Nous présentons une preuve constructive et élémentaire d'une généralisation de ce théorème due à Heitmann (Michigan Math. J. 31 (1984) (2) 167–180) : dans un anneau de dimension de Krull ⩽n tout radical d'un idéal de type fini est le radical d'un idéal engendré par n+1 éléments.AbstractA classical result of Kronecker, stated at the end of the Section 10 of Kronecker (J. Reine Angew. Math. 92 (1882) 1–123), is that any radical of a finitely generated ideal in a polynomial ring of n variables is the radical of an ideal generated by n+1 elements. We give a constructive and elementary proof of a generalisation presented in (Michigan Math. J. 31 (1984) (2) 167–180): in a ring of Krull dimension ⩽n a radical of a finitely generated ideal is the radical of an ideal generated by n+1 elements.
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| 7. |
- Faber, Carel, et al.
(författare)
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On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces, I
- 2004
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Ingår i: Comptes Rendus Mathematique. - : Elsevier BV. - 1631-073X. ; 338:5, s. 381-384
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Tidskriftsartikel (refereegranskat)abstract
- We consider the cohomology of local systems on the moduli space of curves of genus 2 and the moduli space of Abelian surfaces. We give an explicit formula for the Eisenstein cohomology and a conjectural formula for the endoscopic contribution. We show how counting curves over finite fields provides us with detailed information about Siegel modular forms.
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| 8. |
- Faber, Carel, et al.
(författare)
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On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces, II
- 2004
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Ingår i: Comptes rendus. Mathematique. - : Elsevier BV. - 1631-073X .- 1778-3569. ; 338:6, s. 467-470
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Tidskriftsartikel (refereegranskat)abstract
- On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces, II. We consider the cohomology of local systems on the moduli space of curves of genus 2 and the moduli space of Abelian surfaces. We dive an explicit formula for the Eisenstein cohomology and a conjectural formula for the endoscopic contribution. We show how, counting curves over finite fields provides Lis with detailed information about Siegel modular forms.
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| 9. |
- Filippas, S, et al.
(författare)
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Sharp Hardy-Sobolev inequalities
- 2004
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Ingår i: Comptes rendus. Mathematique. - : Elsevier BV. - 1631-073X .- 1778-3569. ; 339:7, s. 483-486
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Tidskriftsartikel (refereegranskat)abstract
- Let Omega be a smooth bounded domain in R-N, N greater than or equal to 3. We show that Hardy's inequality involving the distance to the boundary, with best constant (1/4), may still be improved by adding a multiple of the critical Sobolev norm.
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| 10. |
- Samuelsson Kalm, Håkan, 1976
(författare)
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A regularisation of the Coleff-Herrera residue current
- 2004
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Ingår i: Comptes rendus. Mathematique. - : Elsevier BV. - 1631-073X. ; 339:4, s. 245-250
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Tidskriftsartikel (refereegranskat)abstract
- We prove that if a holomorphic mapping from some complex manifold to ℂ2 defines a complete intersection then the corresponding Coleff-Herrera residue current can be smoothly regularised by a (0, 2)-form depending on two parameters.
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