17,651 reputation
247127
bio website umpa.ens-lyon.fr/~serre
location Lyon, FRANCE
age 60
visits member for 4 years, 3 months
seen 12 hours ago
My research activity is mainly in PDEs, with applications to Physics, especially in Fluid Dynamics. I have written a 2-volume book on Conservation laws, and a book about the Hyperbolic IBVP (in collaboration with S. Benzoni-Gavage). I have edited in collaboration with S. Friedlander, a 4-volume Handbook of Mathematical Fluid Dynamics. I have a continuous interest in Matrix Analysis. I have written a Graduate Text about Matrices. The second edition has been released in November 2010.

1d
reviewed Close Finding an example for
1d
reviewed Close References: Solutions of the Bethe Ansatz Equations
1d
reviewed Close Prove that $\sum_{a<n\le b}\{f(n)\}=\frac{1}{2}(b-a)+O(\lambda^{1/3}(b-a)+\lambda^{-1/2})$
2d
reviewed Close Connected components $0-1$ matrices
2d
reviewed Close Complete solution set of a Convolutional Equation?
Dec
17
reviewed Close Equality in fraction of density
Dec
17
comment Entire function bounded at every line
@fedja. Do you have a reference for that ?
Dec
16
answered Entire function bounded at every line
Dec
16
comment System of linear first order PDE with constant coefficients
I apologize. I thought your equation was an evoluation equation. That is, I thought the left-hand side was $L\partial_t a$ for some matrix $L$. Forget it.
Dec
16
revised Numbers with all N-digit prefixes divisible by N
added 224 characters in body
Dec
16
comment Numbers with all N-digit prefixes divisible by N
@Alex. You're right. Actually, it is necessary that $n$ be even. See my answer below.
Dec
15
answered Numbers with all N-digit prefixes divisible by N
Dec
15
comment Numbers with all N-digit prefixes divisible by N
Is your list complete ? It seems that in base $4$, all six numbers $abc0$, with $\{a,b,c\}=\{1,2,3\}$ are solutions. In base $5$, I finds three solutions : $13240$, $31420$ and $42130$.
Dec
15
reviewed Close second fundamental form of boundary of convex subset non-negative?
Dec
15
reviewed Close when can I say that $UV^T$ is a permutation matrix?
Dec
15
reviewed Close Chebyshev polynomials and uniformly convergence
Dec
12
reviewed Close The singular value of $F(\theta)=\sin\theta\int_{-a}^{a}e^{-ikz\cos\theta}f(z)dz.$
Dec
12
reviewed Close Looking for the solution of first order non-linear differential equation ($y ′+y^{2}=f(x)$) without knowing a particular solution.
Dec
11
comment Examples of interesting false proofs
In the same vein, one "proves" in French the equality $\frac{\rm cheval}{\rm oiseau}=\pi$. Read $\frac{\rm horse}{\rm bird}=\pi$, although there is no such proof in English.
Dec
11
awarded  Necromancer