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51

Homogenization limits and Wigner transforms

Patrick Gérard, Peter A. Markowich, Norbert J. Mauser, Frédéric Poupaud

Journal:

Communications on Pure and Applied Mathematics

Year:

1997

Language:

english

File:

PDF, 369 KB

english, 1997

52

Erratum: Homogenization limits and Wigner transforms

Patrick Gérard, Peter A. Markowich, Norbert J. Mauser, Frédéric Poupaud

Journal:

Communications on Pure and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 142 KB

english, 2000

53

The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation

Franco Brezzi, Peter A. Markowich

Journal:

Mathematical Methods in the Applied Sciences

Year:

1991

Language:

english

File:

PDF, 930 KB

english, 1991

54

A non-isentropic Euler–Poisson model for a collisionless plasma

Peter A. Markowich, Paola Pietra

Journal:

Mathematical Methods in the Applied Sciences

Year:

1993

Language:

english

File:

PDF, 1.18 MB

english, 1993

55

Dispersion and Moment Lemmas Revisited

I Gasser, P.A Markowich, B Perthame

Journal:

Journal of Differential Equations

Year:

1999

Language:

english

File:

PDF, 207 KB

english, 1999

56

Quasi-neutral Limit of a Nonlinear Drift Diffusion Model for Semiconductors

Ingenuin Gasser, Ling Hsiao, Peter A. Markowich, Shu Wang

Journal:

Journal of Mathematical Analysis and Applications

Year:

2002

Language:

english

File:

PDF, 139 KB

english, 2002

57

The stationary semiconductor device equations: 1986. 40 figures. ix, 193 pages. Cloth öS 760, -, DM 109,-. ISBN 3-211-81892-8

Journal:

Microelectronics Journal

Year:

1995

Language:

english

File:

PDF, 172 KB

english, 1995

58

The Wigner-Poisson problem in a crystal

A. Arnold, P. Degond, P.A. Markowich, H. Steinrück

Journal:

Applied Mathematics Letters

Year:

1989

Language:

english

File:

PDF, 336 KB

english, 1989

59

On a one-dimensional steady-state hydrodynamic model for semiconductors

P. Degond, P.A. Markowich

Journal:

Applied Mathematics Letters

Year:

1990

Language:

english

File:

PDF, 285 KB

english, 1990

60

Quantum hydrodynamics for semiconductors in the high-field case

P. Markowich, C. Ringhofer

Journal:

Applied Mathematics Letters

Year:

1994

Language:

english

File:

PDF, 288 KB

english, 1994

61

The self-consistent Bloch-equation in one dimension

Norbert Mauser, Anton Arnold, Peter A. Markowich

Journal:

Computers & Mathematics with Applications

Year:

1991

Language:

english

File:

PDF, 294 KB

english, 1991

62

Convergence rate of dimension reduction in Bose–Einstein condensates

Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Markowich, Rada M. Weishäupl

Journal:

Computer Physics Communications

Year:

2007

Language:

english

File:

PDF, 561 KB

english, 2007

63

Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice: I. Homogeneous problems

Laurent Gosse, Peter A. Markowich

Journal:

Journal of Computational Physics

Year:

2004

Language:

english

File:

PDF, 520 KB

english, 2004

64

A time-splitting spectral scheme for the Maxwell–Dirac system

Zhongyi Huang, Shi Jin, Peter A. Markowich, Christof Sparber, Chunxiong Zheng

Journal:

Journal of Computational Physics

Year:

2005

Language:

english

File:

PDF, 1.28 MB

english, 2005

65

On the Hughes' model for pedestrian flow: The one-dimensional case

Marco Di Francesco, Peter A. Markowich, Jan-Frederik Pietschmann, Marie-Therese Wolfram

Journal:

Journal of Differential Equations

Year:

2011

Language:

english

File:

PDF, 458 KB

english, 2011

66

Bohmian measures and their classical limit

Peter Markowich, Thierry Paul, Christof Sparber

Journal:

Journal of Functional Analysis

Year:

2010

Language:

english

File:

PDF, 289 KB

english, 2010

67

Mathematical methods and modeling of biophysical phenomena

Benoit Perthame, Peter Markowich, Jorge P. Zubelli

Journal:

Mathematical and Computer Modelling

Year:

2008

Language:

english

File:

PDF, 130 KB

english, 2008

68

Mathematical methods and modelling of biophysical phenomena

Benoit Perthame, Peter Markowich, Jorge P. Zubelli

Journal:

Mathematical and Computer Modelling

Year:

2011

Language:

english

File:

PDF, 167 KB

english, 2011

69

The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors

Ling Hsiao, Peter A. Markowich, Shu Wang

Journal:

Journal of Differential Equations

Year:

2003

Language:

english

File:

PDF, 231 KB

english, 2003

70

The quantum Child-Langmuir problem

Naoufel Ben Abdallah, Pierre Degond, Peter A. Markowich

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1998

Language:

english

File:

PDF, 720 KB

english, 1998

71

A note on the entropy production of the radiative transfer equation

E. Gabetta, P.A. Markowich, A. Unterreiter

Journal:

Applied Mathematics Letters

Year:

1999

Language:

english

File:

PDF, 235 KB

english, 1999

72

A generalization of Cahn-Hilliard inpainting for grayvalue images

Martin Burger, Lin He, Peter Markowich, Carola-Bibiane Schönlieb

Journal:

Year:

2007

Language:

english

File:

PDF, 119 KB

english, 2007

73

Cahn-Hilliard inpainting and the Willmore functional

Martin Burger, Shun-Yin Chu, Peter Markowich, Carola-Bibiane Schönlieb

Journal:

Year:

2007

Language:

english

File:

PDF, 121 KB

english, 2007

74

Stability of the Linearized Transient Semiconductor Device Equations

Dr. P. A. Markowich, Dr. Ch. A. Ringhofer

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

1987

Language:

english

File:

PDF, 1.03 MB

english, 1987

75

An Analysis of the Quantum Liouville Equation

Univ.-Doz. Dr. P. A. Markowich, Dr. C. A. Ringhofer

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

1989

Language:

english

File:

PDF, 594 KB

english, 1989

76

A review of hydrodynamical models for semiconductors: Asymptotic behavior

Hailiang Li, Peter Markowich

Journal:

Bulletin of the Brazilian Mathematical Society, New Series

Year:

2001

Language:

english

File:

PDF, 1006 KB

english, 2001

77

High field approximations of the spherical harmonics expansion model for semiconductors

N. Ben Abdallah, P. Degond, P. Markowich, C. Schmeiser

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2001

Language:

english

File:

PDF, 250 KB

english, 2001

78

On Inverse Problems for Semiconductor Equations

M. Burger, H. W. Engl, A. Leitao, P. A. Markowich

Journal:

Milan Journal of Mathematics

Year:

2004

Language:

english

File:

PDF, 13.83 MB

english, 2004

79

Non linear Diffusions as Limit of Kinetic Equations with Relaxation Collision Kernels

Jean Dolbeault, Peter Markowich, Dietmar Oelz, Christian Schmeiser

Journal:

Archive for Rational Mechanics and Analysis

Year:

2007

Language:

english

File:

PDF, 255 KB

english, 2007

80

On Singular Limits of Mean-Field Equations

Jean Dolbeault, Peter A. Markowich, Andreas Unterreiter

Journal:

Archive for Rational Mechanics and Analysis

Year:

2001

Language:

english

File:

PDF, 217 KB

english, 2001

81

Fast conservative and entropic numerical methods for the Boson Boltzmann equation

Peter A Markowich, Lorenzo Pareschi

Journal:

Numerische Mathematik

Year:

2005

Language:

english

File:

PDF, 308 KB

english, 2005

82

Numerical Study of Oscillatory Regimes in

Christian Klein, Christof Sparber, Peter Markowich

Journal:

Journal of Nonlinear Science

Year:

2007

Language:

english

File:

PDF, 1.81 MB

english, 2007

83

On the Long-Time Behavior of the Quantum Fokker-Planck Equation

C. Sparber, J. A. Carrillo, J. Dolbeault, P. A. Markowich

Journal:

Monatshefte für Mathematik

Year:

2004

Language:

english

File:

PDF, 300 KB

english, 2004

84

Behavior of the Free Boundary Near Contact Points with the Fixed Boundary for Nonlinear Elliptic Equations

Norayr Matevosyan, Peter A. Markowich

Journal:

Monatshefte für Mathematik

Year:

2004

Language:

english

File:

PDF, 90 KB

english, 2004

85

Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research

A. Arnold, J. A. Carrillo, L. Desvillettes, J. Dolbeault, A. Jüngel, C. Lederman, P. A. Markowich, G. Toscani, C. Villani

Journal:

Monatshefte für Mathematik

Year:

2004

Language:

english

File:

PDF, 83 KB

english, 2004

86

Editorial

Peter A. Markowich

Journal:

Monatshefte für Mathematik

Year:

2004

Language:

english

File:

PDF, 43 KB

english, 2004

87

On Generalized Csiszár-Kullback Inequalitieys

Andreas Unterreiter, Anton Arnold, Peter Markowich, Giuseppe Toscani

Journal:

Monatshefte für Mathematik

Year:

2000

Language:

english

File:

PDF, 166 KB

english, 2000

88

The pseudo-differential approach¶to finite differences revisited

Peter A. Markowich, Frederic Poupaud

Journal:

Year:

1999

Language:

english

File:

PDF, 153 KB

english, 1999

89

Kinetic Relaxation Models for Energy Transport

Kazuo Aoki, Peter Markowich, Shigeru Takata

Journal:

Journal of Statistical Physics

Year:

2007

Language:

english

File:

PDF, 387 KB

english, 2007

90

Numerical simulation of a generalized Zakharov system

Shi Jin, Peter A. Markowich, Chunxiong Zheng

Journal:

Journal of Computational Physics

Year:

2004

Language:

english

File:

PDF, 518 KB

english, 2004

91

Existence and Nonlinear Stability of Stationary States of the Schrödinger–Poisson System

Peter A. Markowich, Gerhard Rein, Gershon Wolansky

Journal:

Journal of Statistical Physics

Year:

2002

Language:

english

File:

PDF, 149 KB

english, 2002

92

Semiclassical Asymptotics for Weakly Nonlinear Bloch Waves

Rémi Carles, Peter A. Markowich, Christof Sparber

Journal:

Journal of Statistical Physics

Year:

2004

Language:

english

File:

PDF, 237 KB

english, 2004

93

Quasineutral limit of a standard drift diffusion model for semiconductors

Ling (Hsiao Ling) Xiao, Peter A. Markowich, Wang Shu

Journal:

Science China Mathematics

Year:

2002

Language:

english

File:

PDF, 388 KB

english, 2002

94

A steady state potential flow model for semiconductors

Pierre Degond, Peter A. Markowich

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

1993

Language:

english

File:

PDF, 495 KB

english, 1993

95

A mathematical analysis of quantum transport in three-dimensional crystals

Pierre Degond, Peter A. Markowich

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

1991

Language:

english

File:

PDF, 874 KB

english, 1991

96

On a one-dimensional Schrödinger-Poisson scattering model

Ben Abdallah, N., Degond, P., Markowich, P. A.

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

1997

Language:

english

File:

PDF, 289 KB

english, 1997

97

A singular perturbation approach for the analysis of the fundamental semiconductor equations

Markowich, P.A., Ringhofer, C.A., Selberherr, S., Lentini, M.

Journal:

IEEE Transactions on Electron Devices

Year:

1983

Language:

english

File:

PDF, 1.34 MB

english, 1983

98

On a price formation free boundary model by Lasry and Lions: The Neumann problem

Luis A. Caffarelli, Peter A. Markowich, Marie-Therese Wolfram

Journal:

Comptes Rendus Mathematique

Year:

2011

File:

PDF, 139 KB

2011

99

A Wigner-Measure Analysis of the Dufort--Frankel Scheme for the Schrödinger Equation

Markowich, Peter A., Pietra, Paola, Pohl, Carsten, Stimming, Hans Peter

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 1.21 MB

english, 2002

100

A Bloch Decomposition–Based Split‐Step Pseudospectral Method for Quantum Dynamics with Periodic Potentials

Huang, Zhongyi, Jin, Shi, Markowich, Peter A., Sparber, Christof

Journal:

SIAM Journal on Scientific Computing

Year:

2007

Language:

english

File:

PDF, 1.72 MB

english, 2007

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