Dr. Michael Westdickenberg

PDE Seminar

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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 January 2008)
 

Teaching

Fall 2008 Math 4318 Analysis II
Fall 2008 Math 6337 Real Analysis I

Research Interests

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

Publications

Optimal Transport for the system of isentropic Euler equations [ pdf ]
(with W. Gangbo)
Submitted, 2008

Variational particle schemes for the porous medium equation and for the system
of isentropic Euler equations [ pdf ]
(with J. Wilkening)
Submitted, 2008

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)

August 16, 2008