Publications

Preprints


Fabio Cavalletti, Marc Sedjro, Michael Westdickenberg

A variational time discretization for the compressible Euler equations

Submitted

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Published Articles


Fabio Cavalletti, Marc Sedjro, Michael Westdickenberg

A Simple Proof of Global Existence for the 1D Pressureless Gas Dynamics Equations

SIAM J. Math. Anal. 47 (2015) 66-79

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Fabio Cavalletti, Michael Westdickenberg

The polar cone of the set of monotone maps

Proc. Amer. Math. Soc. 143 (2015) 781-787

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Yann Brenier, Wilfrid Gangbo, Giuseppe Savaré, Michael Westdickenberg

Sticky particle dynamics with interactions

J. Math. Pures Appl. 99 (2013) 577-617

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Michael Westdickenberg

Projections onto the cone of optimal transport maps and compressible fluid dynamics

J. Hyperbolic Differ. Equ. 7 (2010) 605-649

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Michael Westdickenberg, Jon Wilkening

Variational particle schemes for the porous medium equation and for the system of isentropic Euler equations

M2AN Math. Model. Numer. Anal. 44 (2010) 133-166

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Wilfrid Gangbo, Michael Westdickenberg

Optimal Transport for the system of isentropic Euler equations

Comm. PDE 34 (2009), 1041-1073

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Philippe G. LeFloch, Michael Westdickenberg

Finite energy solutions to the isentropic Euler equations with geometric effects

J. Math. Pures et Appl. 88 (2007), 389-429

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Felix Otto, Michael Westdickenberg

Eulerian calculus for the contraction in the Wasserstein distance

SIAM J. Math. Anal. 37 (2005) 1227-1255

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Benoît Perthame, Michael Westdickenberg

Total oscillation diminishing property for scalar conservation laws

Numer. Math. 100 (2005) 331-349

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Felix Otto, Michael Westdickenberg

Convergence of thin film approximation for a scalar conservation law

J. Hyperbolic Differ. Equ. 2 (2005) 183-199

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François Bouchut, Michael Westdickenberg

Gravity driven shallow water models for arbitrary topography

Comm. Math. Sci. 2 (2004) 359-389

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Camillo De Lellis, Felix Otto, Michael Westdickenberg

Minimal entropy conditions for Burgers equation

Quart. Appl. Math. 62 (2004) 687-700

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Camillo De Lellis, Felix Otto, Michael Westdickenberg

Structure of entropy solutions for multi-dimensional scalar conservation laws

Arch. Ration. Mech. Anal. 170 (2003) 137-184

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Camillo De Lellis, Michael Westdickenberg

On the optimality of velocity averaging lemmas

Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (2003) 1075-1085

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Michael Westdickenberg

Some new velocity averaging results

SIAM J. Math. Anal. 33 (2002) 1007-1032

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Sebastian Noelle, Michael Westdickenberg

A new convergence proof for finite volume schemes using the kinetic formulation of conservation laws

SIAM J. Numer. Anal. 37 (2000) 742-757

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Lecture Notes and Survey Articles


Michael Westdickenberg

Finite energy solutions to the isentropic Euler equations

Lecture Notes, Intensive Trimester ''Nonlinear Hyperbolic PDEs, Dispersive and Transport Equations: Analysis and Control'', SISSA Trieste, May 16-July 22, 2011

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Gianluca Crippa, Felix Otto, Michael Westdickenberg

Regularizing effect of nonlinearity in multidimensional scalar conservation laws

Proceedings of the ''Lectures on Transport Equations and Multi-D Hyperbolic Conservation Laws'', Bologna, January 17-20, 2005

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Sebastian Noelle, Michael Westdickenberg

Convergence of Approximate Solutions of Conservation Laws

In ''Geometric Analysis and Nonlinear Partial Differential Equations'', Springer, Berlin, 2003



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