bio  website  umpa.enslyon.fr/~serre 

location  Lyon, FRANCE  
age  60  
visits  member for  4 years, 11 months 
seen  13 hours ago  
stats  profile views  11,626 
My research activity is mainly in PDEs, with applications to Physics, especially in Fluid Dynamics. I have written a 2volume book on Conservation laws, and a book about the Hyperbolic IBVP (in collaboration with S. BenzoniGavage). I have edited in collaboration with S. Friedlander, a 4volume 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. 