19,751 reputation
354137
bio website umpa.ens-lyon.fr/~serre
location Lyon, FRANCE
age 60
visits member for 4 years, 11 months
seen 13 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.


2d
awarded  Nice Answer
Jul
10
accepted Optimal Countdown
Jul
5
comment A question of Erdos on entire functions
Isn'it the property for which Konsevitch proved: - under CH, there exists an entire function satisfying the property, - under the negation of CH, such an entire function does not exist ?
Jul
4
revised Determining if a matrix is orthogonal
added 16 characters in body
Jul
3
revised Determining if a matrix is orthogonal
added 378 characters in body
Jul
3
revised Determining if a matrix is orthogonal
added 378 characters in body
Jul
3
answered Determining if a matrix is orthogonal
Jul
3
awarded  Nice Question
Jul
3
answered Are there any books that take a 'theorems as problems' approach?
Jul
3
revised Comparison of Lp norm of matrix and its entry wise norm.
added 434 characters in body
Jul
3
answered Comparison of Lp norm of matrix and its entry wise norm.
Jun
30
answered Determinant of block tridiagonal matrices
Jun
29
revised Maximum of the Vandermonde determinant / minimum of the logarithmic energy
added 1 character in body
Jun
29
comment Maximum of the Vandermonde determinant / minimum of the logarithmic energy
Yes, I have to edit my post !
Jun
29
answered Maximum of the Vandermonde determinant / minimum of the logarithmic energy
Jun
27
comment A curious determinantal inequality
I tried with the choice $A^{1/2}={\rm diag}(2,1)$ and $B^{1/2}=\begin{pmatrix} 1 & 1 \\ 1 & 2 \end{pmatrix}$, which fails to pass the test $D^2+E^2=1$.
Jun
27
comment A curious determinantal inequality
I doubt too that $D^2+E^2$ equals $1$. 14 votes pro without a verification ?
Jun
17
awarded  Good Answer
Jun
12
answered How much redundancy resides in an $n \times n$ orthogonal matrix?
Jun
9
comment Is there a big solvable subgroup in every finite group?
This definition might not be universally accepted. I have once learned that a proper subgroup $H$ of $G$ is big if it intersects every conjugacy class. For instance the triangular subgroup is big in ${\bf GL}_n(\mathbb C)$. In a finite group, there does not exist such a big subgroup.