17,031 reputation
245120
bio website umpa.ens-lyon.fr/~serre
location Lyon, FRANCE
age 59
visits member for 4 years, 2 months
seen 2 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.

10h
reviewed No Action Needed Curvatures preserved under the Kahler-Ricci 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 $H(q)=-q\log q-(1-q)\log(1-q)$ ?
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 Hamilton-Jacobi equation for the unknown $\theta$. This being scalar, teh Hopf-Cole transformation can be carried out.
Oct
21
comment Reference for existence results for 2D forced viscous Burgers equation
I am dubious about the Hof-Cole transformation in this vector-valued case.
Oct
21
comment Schrödinger operators on a sphere
@Tobias. Eigenvalues of second-order one-dimensional operators (linear ODE) are always simple. This is Sturm-Liouville 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 edge-midpoint convex polyhedra
added 226 characters in body
Oct
20
answered The limit of edge-midpoint 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 well-known 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
added 444 characters in body