Dr. Michael Westdickenberg

Contact Information

School of Mathematics
Georgia Institute of Technology
686 Cherry Street
Atlanta, GA 30332-0160

(+1) 404 894 6509 (phone)
(+1) 404 894 4409 (fax)
mwest (AT) math.gatech.edu

Curriculum Vitae (Updated November 2008)
 

Teaching

Fall 2009 Math 1502 Calculus II
Fall 2009 Math 8803 Special Topics Course: Optimal Transport

Research Interests

Hyperbolic conservation laws
Gradient flows and optimal transportation
Fluid dynamics, geophysical flows
Partial differential equations

Publications

Variational particle schemes for the porous medium equation and for the system
of isentropic Euler equations [ pdf ]
(with J. Wilkening)
Accepted M2AN, 2009

Optimal Transport for the system of isentropic Euler equations [ pdf ]
(with W. Gangbo)
Comm. PDE 34 (2009), 1041-1073

Finite energy solutions to the isentropic Euler equations with geometric effects [ pdf ]
(with P. G. LeFloch)
J. Math. Pures et Appl. 88 (2007), 389-429

Regularizing effect of nonlinearity in multidimensional scalar conservation laws [ pdf ]
(with G. Crippa and F. Otto)
Proceedings of the ''Lectures on Transport Equations and Multi-D Hyperbolic
Conservation Laws'', Bologna, January 17-20, 2005

Eulerian calculus for the contraction in the Wasserstein distance [ pdf ]
(with F. Otto)
SIAM J. Math. Anal. 37 (2005) 1227-1255

Total oscillation diminishing property for scalar conservation laws [ pdf ]
(with B. Perthame)
Numer. Math. 100 (2005) 331-349

Convergence of thin film approximation for a scalar conservation law [ pdf ]
(with F. Otto)
J. Hyperbolic Differ. Equ. 2 (2005) 183-199

Gravity driven shallow water models for arbitrary topography [ pdf ]
(with F. Bouchut)
Comm. Math. Sci. 2 (2004) 359-389

Minimal entropy conditions for Burgers equation [ pdf ]
(with C. De Lellis and F. Otto)
Quart. Appl. Math. 62 (2004) 687-700

Structure of entropy solutions for multi-dimensional scalar conservation laws [ pdf ]
(with C. De Lellis and F. Otto)
Arch. Ration. Mech. Anal. 170 (2003) 137-184

On the optimality of velocity averaging [ pdf ]
(with C. De Lellis)
Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (2003) 1075-108585

Convergence of Approximate Solutions of Conservation Laws
(with S. Noelle)
In ''Geometric Analysis and Nonlinear Partial Differential Equations'',
Springer, Berlin, 2003

Some new velocity averaging results [ pdf ]
SIAM J. Math. Anal. 33 (2002) 1007-1032

A new convergence proof for finite volume schemes using the kinetic formulation
of conservation laws [ pdf ]
(with S. Noelle)
SIAM J. Numer. Anal. 37 (2000) 742-757

Further Information

Academic Positions, Education, Grants, Invited Talks and Visits... (click here)

November 29, 2008