Peter Markowich - Selected Publications#


P.A. Markowich, C. Schmeiser and C. Ringhofer, Semiconductor Equations, Springer Verlag, 1990. 2292 citations in Google Scholar, standard textbook on the subject.

P. Gerard, P. A. Markowich, N. J. Mauser and F. Poupaud, Homogenization Limits and Wigner Transforms, Comm. Pure and Appl. Math., Vol. 50, pp. 323-378, 1997. 640 citations in Google Scholar.

A. Arnold, P. A. Markowich, G. Toscani and A. Unterreiter, On Convex Sobolev Inequalities and the Rate of Convergence to Equilibrium for Fokker-Planck Type Equations, Comm. PDE, Vol. 26/1-2, 43-100, 2001. 442 citations in Google Scholar.

J. A. Carrillo, A. Jüngel, P. A. Markowich, G. Toscani and A. Unterreiter, Entropy Dissipation Methods for degenerate parabolic Problems and generalized Sobolev Inequalities, Monatshefte für Mathematik, Vol. 133, pp. 1-82, 2001. 374 citations in Google Scholar.

W. Bao, P. A. Markowich and S. Jin, Numerical Study of time-splitting spectral Discretisations of nonlinear Schrödinger Equations in the Semiclassical Regimes, SIAM J. Sci.Comput., Vol. 25, No. 1, pp 27-64, 2003. 396 citations in Google Scholar.

W. Bao, D. Jaksch and P. A. Markowich, Numerical solution of the Gross-Pitaevskii Equation for Bose-Einstein Condensation, JCP, Vol. 187, No. 1, pp. 318-342, 2003. 557 citations in Google Scholar.

A. Figalli, C. Klein, P.A. Markowich and C. Sparber, WKB Analysis of Bohmian Dynamics, Comm. Pure Appl. Math., vol. 67, pp. 581-620, 2014. 10 citations in Google Scholar.

J. Haskovec, P.A. Markowich and B. Perthame, Mathematical Analysis of a PDE System for Biological Network Formation, Comm. PDE, Volume 40, Issue 5, 2015. 31 citations in Google Scholar.

P.A. Markowich, E.S. Titi and S. Trabelsi, Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model, Nonlinearity, Vol. 29, Nr. 4, 2016. 58 citations in Google Scholar.

J. Haskovec, H. Jönsson, L.M. Kreusser, P.A. Markowich, Auxin Transport Model for Leaf Venation, Proceedings A of the Roy. Soc. , Vol. 475, 2019. 5 citations in Google Scholar.

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