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Fall 1999 - Spring 2000 CNA Seminars
- 1:30 P.M., TUESDAY, August 31, 1999, in Room PPB 300
Philippe LeFloch Professor Ecole Polytechnique Palaiseau, France TITLE: "$L^1$-Continuous Dependence Property for Hyperbolic Systems of Conservation Laws"
$$ \partial_t u + \partial_x f(u) = 0, \qquad u(x,t) \in R^N, $$ has attracted a lot of attention. This activity was initiated in pioneering work by Bressan, Colombo, Crasta and Piccoli and continued with a fundamental contribution by Liu and Yang. This research culminated with two independent contributions by Bressan, Liu and Yang and by Hua and LeFloch, which now provide particularly simple proofs for the $L^1$-continuous dependence of entropy solutions. In our proof, we follow the standard Haar's method, which was previously assumed to apply only to scalar conservation laws or to special systems of equations or, else, to piecewise smooth solutions. The main difficulty is to obtain the uniqueness of (discontinuous) solutions for a suitably linearized version of the nonlinear problem. Our approach is based on the notion of admissible averaging matrix and on fine properties of shock waves in approximate solutions of strictly hyperbolic systems. It uses the classification of the propagating discontinuities into: Lax shocks, slow or fast under compressive shocks and rarefaction shocks. The approach also applies to solutions with large amplitude. - 1:30 P.M., TUESDAY, September 14, 1999, in Room PPB 300
Wen-Ching Lien Professor Carnegie Mellon University Department of Mathematical Sciences Pittsburgh, PA 15213 TITLE: "Stability of a Self-Similar 3-Dimensional Gas Flow"
- 4:30 P.M., FRIDAY, September 24, 1999, in Wean Hall 7500. Refreshments will be served at 4:00 P.M., in Wean Hall 6220.
Michel Chipot Professor Zurich, Switzerland TITLE: ""Continuity of the Free Boundary for Problems in Dimension 2""
- 3:30 P.M., FRIDAY, October 1, 1999, in Room PPB 300
Please note change of time due to homecoming events.
Epifanio Virga Professor University of Pavia, Italy TITLE: "Dynamics of Vesicles Subject to Adhesion"
- 1:30 P.M., TUESDAY, October 12, 1999, in Room PPB 300
Michal Kowalczyk Department of Mathematical Sciences Carnegie Mellon University TITLE: "Spikes and Bumps: Local Concentration Solutions in the Gierer-Meinhardt system "
- 1:30 P.M., TUESDAY, October 19, 1999, in PPB 300
Jan Kristensen Mathematical Institute Oxford, United Kingdom TITLE: "Mazur's Lemma for Quasiconvexity"
- 1:30 P.M., TUESDAY, November 2, 1999, in PPB 300
Adelia Sequeira Department of Mathematics Instituto Superior Tecnico, Lisbon, Portugal TITLE: "Mathematical Results and Numerical Methods for some non-Newtonian Fluid Models"
- 4:30 P.M., FRIDAY, November 12, 1999, in Wean Hall 7500. Refreshments will be served at 4:00 P.M., in Wean Hall 6220.
Anatole Katok Penn State University Park, PA TITLE: "Hyperbolic, Elliptic and Parabolic Paradigms in Dynamical Systems: Overview and Open Problems"
- 1:30 P.M., TUESDAY, November 16, 1999, in Room PPB 300
Harumi Hattori Department of Mathematics West Virginia University TITLE: "Entropy Rate Admissibility Criterion for a Phase Transition
Problem"
- 1:30 P.M., THURSDAY, December 2, 1999, in Room PPB 300
Michel Jabbour Department of Mathematical Sciences Carnegie Mellon University TITLE: "TBA"
- 1:30 P.M., TUESDAY, January 25, 2000, in Room PPB 300
John Nagle Physics Department/Biological Sciences Department Carnegie Mellon University TITLE: "Fluctuating Membranes "
- 1:30 P.M., TUESDAY, February 1, 2000, in Room PPB 300
Christian Klingenberg Applied Mathematics, Wuerzburg University presently visiting JPL and Applied Math California Institute of Technology TITLE: "Mathematical Modeling and Numerical Simulation of Star Formation"
- 1:30 P.M., TUESDAY, February 8, 2000 in Room PPB 300
Lukasz Kruk Department of Mathematical Sciences Carnegie Mellon University TITLE: "TBA"
- 1:30 P.M., TUESDAY, February 29, 2000 in Room PPB 300
Roger Lui Department of Mathematical Sciences Carnegie Mellon University TITLE: "TBA"
- 1:30 P.M., TUESDAY, April 4, 2000 in Room PPB 300
Dehua Wang Department of Mathematics University of Pittsburgh Pittsburgh, PA TITLE: "TBA"
- 1:30 P.M., TUESDAY, April 13, 2000 in Room PPB 300
Guy Bouchitte Department de Mathematiques, Universite de Toulon. Carnegie Mellon University TITLE: "TBA"
- 1:30 P.M., TUESDAY, April 18, 2000 in Room PPB 300
Luigi Ambrosio Scuola Normale Superiore, Scuola Normale Sup. Pisa. TITLE: "TBA"
- 1:30 P.M., TUESDAY, April 25, 2000 in Room PPB 300
Luisa Mascarenhas C.M.A.F. TITLE: "TBA"
- 4:30 P.M., FRIDAY, April 28, 2000, in WeH 7500. Refreshments will be served at 4:00 P.M., in Wean Hall 6220.
Patrick Gerard Department of Mathematics Universite de Paris Sud. TITLE: "TBA" |