Peter Markowich
Peter Markowich
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Semiconductor equations
PA Markowich, CA Ringhofer, C Schmeiser
Springer Science & Business Media, 2012
The stationary semiconductor device equations
PA Markowich
Springer Science & Business Media, 2013
Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation
W Bao, D Jaksch, PA Markowich
Journal of Computational Physics 187 (1), 318-342, 2003
Homogenization limits and Wigner transforms
P Gérard, PA Markowich, NJ Mauser, F Poupaud
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1997
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations
A Arnold, P Markowich, G Toscani, A Unterreiter
Taylor & Francis Group 26 (1-2), 43-100, 2001
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
W Bao, S Jin, PA Markowich
Journal of Computational Physics 175 (2), 487-524, 2002
Entropy dissipation methods for degenerate parabolicproblems and generalized sobolev inequalities
JA Carrillo, A Jüngel, PA Markowich, G Toscani, A Unterreiter
Monatshefte für Mathematik 133, 1-82, 2001
Global solutions to the coupled chemotaxis-fluid equations
R Duan, A Lorz, P Markowich
Communications in Partial Differential Equations 35 (9), 1635-1673, 2010
Kinetic models for chemotaxis and their drift-diffusion limits
FACC Chalub, PA Markowich, B Perthame, C Schmeiser
Nonlinear differential equation models, 123-141, 2004
Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes
W Bao, S Jin, PA Markowich
SIAM Journal on Scientific Computing 25 (1), 27-64, 2003
Semiconductor device modelling from the numerical point of view
SJ Polak, C Den Heijer, WHA Schilders, P Markowich
International Journal for Numerical Methods in Engineering 24 (4), 763-838, 1987
On the trend to equilibrium for the Fokker-Planck equation: an interplay between physics and functional analysis
PA Markowich, C Villani
Mat. Contemp 19, 1-29, 2000
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
M Di Francesco, A Lorz, P Markowich
Discrete Contin. Dyn. Syst 28 (4), 1437-1453, 2010
On a one-dimensional steady-state hydrodynamic model for semiconductors
P Degond, PA Markowich
Applied Mathematics Letters 3 (3), 25-29, 1990
Quantum hydrodynamics, Wigner transforms, the classical limit
I Gasser, PA Markowich
Asymptotic Analysis 14 (2), 97-116, 1997
Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders
B Düring, P Markowich, JF Pietschmann, MT Wolfram
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2009
Mathematical and computational methods for semiclassical Schrödinger equations
S Jin, P Markowich, C Sparber
Acta Numerica 20, 121-209, 2011
The three‐dimensional wigner‐poisson problem: Existence, uniqueness and approximation
F Brezzi, PA Markowich
Mathematical Methods in the Applied Sciences 14 (1), 35-61, 1991
A Wigner‐function approach to (semi) classical limits: Electrons in a periodic potential
PA Markowich, NJ Mauser, F Poupaud
Journal of Mathematical Physics 35 (3), 1066-1094, 1994
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates
W Bao, PA Markowich, H Wang
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