bio  website  umpa.enslyon.fr/~serre 

location  Lyon, FRANCE  
age  59  
visits  member for  4 years, 2 months 
seen  2 hours ago  
stats  profile views  10,377 
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.
10h

reviewed  No Action Needed Curvatures preserved under the KahlerRicci flow 
10h

reviewed  Reviewed Lower bound for sum of binomial coefficients without summation 
10h

comment 
Lower bound for sum of binomial coefficients without summation
Something unclear: what is $q$ in the definition of $H$. Do you mean $H(q)=q\log q(1q)\log(1q)$ ? 
2d

reviewed  Close lower bound of a trace quadratic form 
2d

reviewed  Close Existence of minimizer in Sobolev space $H^{1,2}(\Omega)$ 
Oct 22 
reviewed  Close Comparing the inverse of a diagonally dominant matrix 
Oct 22 
comment 
Comparing the inverse of a diagonally dominant matrix
I feel that you make a confusion between two orderings : entrywise or Loewner. 
Oct 22 
reviewed  Reopen Obscure Names in Mathematics 
Oct 21 
comment 
Reference for existence results for 2D forced viscous Burgers equation
I suspected something like that. This paper considers the special case of irrotational solutions, that is when $u=\nabla \theta$ (incidentally, this assumes that the force is potential). Then the system reduces to a HamiltonJacobi equation for the unknown $\theta$. This being scalar, teh HopfCole transformation can be carried out. 
Oct 21 
comment 
Reference for existence results for 2D forced viscous Burgers equation
I am dubious about the HofCole transformation in this vectorvalued case. 
Oct 21 
comment 
Schrödinger operators on a sphere
@Tobias. Eigenvalues of secondorder onedimensional operators (linear ODE) are always simple. This is SturmLiouville theory, based upon the maximum principle. See for instance the book by Protter & Weinberger. 
Oct 20 
revised 
Why do roots of polynomials tend to have absolute value close to 1?
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Oct 20 
answered  Motivation for weak solution of a PDE (initial condition) 
Oct 20 
revised 
The limit of edgemidpoint convex polyhedra
added 226 characters in body 
Oct 20 
answered  The limit of edgemidpoint convex polyhedra 
Oct 18 
revised 
Operator norm versus Hlawka inequality
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Oct 17 
comment 
Operator norm versus Hlawka inequality
Thanks ! This must be wellknown from specialist, I presume. 
Oct 17 
accepted  Operator norm versus Hlawka inequality 
Oct 17 
asked  Operator norm versus Hlawka inequality 
Oct 17 
revised 
Schrödinger operators on a sphere
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