Markowich, Peter; Teichmann, Josef; Wolfram, Marie-Therese Parabolic free boundary price formation models under market size fluctuations. (English) Zbl 1355.35184 Multiscale Model. Simul. 14, No. 4, 1211-1237 (2016). Reviewer: Rodica Luca (Iaşi) MSC: 35Q91 35B40 60H15 91B24 PDFBibTeX XMLCite \textit{P. Markowich} et al., Multiscale Model. Simul. 14, No. 4, 1211--1237 (2016; Zbl 1355.35184) Full Text: DOI arXiv
Markowich, Peter A. Numerical analysis of Schrödinger equations in the highly oscillatory regime. (English) Zbl 1228.65146 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-34-2/hbk; 978-81-85931-08-3/hbk; 978-981-4324-31-1/set; 978-981-4324-35-9/ebook). 2776-2804 (2011). MSC: 65M06 65M70 35Q55 35Q41 65M12 PDFBibTeX XMLCite \textit{P. A. Markowich}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 2776--2804 (2011; Zbl 1228.65146) Full Text: Link
Di Francesco, Marco; Fellner, Klemens; Markowich, Peter A. The entropy dissipation method for spatially inhomogeneous reaction-diffusion-type systems. (English) Zbl 1186.35101 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2100, 3273-3300 (2008). MSC: 35K57 35B35 35K20 PDFBibTeX XMLCite \textit{M. Di Francesco} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2100, 3273--3300 (2008; Zbl 1186.35101) Full Text: DOI
Burger, Martin; Chu, Shun-Yin; Markowich, Peter A.; Schönlieb, Carola-Bibiane The Willmore functional and instabilities in the Cahn-Hilliard equation. (English) Zbl 1154.35009 Commun. Math. Sci. 6, No. 2, 309-329 (2008). Reviewer: Georgii Sviridyuk (Chelyabinsk) MSC: 35B35 35K57 PDFBibTeX XMLCite \textit{M. Burger} et al., Commun. Math. Sci. 6, No. 2, 309--329 (2008; Zbl 1154.35009) Full Text: DOI Euclid
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. (English) Zbl 1136.65093 SIAM J. Sci. Comput. 29, No. 2, 515-538 (2007). MSC: 65M70 35B27 65M20 35Q40 81Q20 81Q05 65M50 PDFBibTeX XMLCite \textit{Z. Huang} et al., SIAM J. Sci. Comput. 29, No. 2, 515--538 (2007; Zbl 1136.65093) Full Text: DOI arXiv
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong A time-splitting spectral scheme for the Maxwell-Dirac system. (English) Zbl 1070.81040 J. Comput. Phys. 208, No. 2, 761-789 (2005). MSC: 81Q05 81V10 81Q20 81-04 PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Comput. Phys. 208, No. 2, 761--789 (2005; Zbl 1070.81040) Full Text: DOI arXiv
Carles, Rémi; Markowich, Peter A.; Sparber, Christof Semiclassical asymptotics for weakly nonlinear Bloch waves. (English) Zbl 1104.81049 J. Stat. Phys. 117, No. 1-2, 343-375 (2004). Reviewer: Takashi Ichinose (Kanazawa) MSC: 81Q20 34E13 34E20 35Q55 PDFBibTeX XMLCite \textit{R. Carles} et al., J. Stat. Phys. 117, No. 1--2, 343--375 (2004; Zbl 1104.81049) Full Text: DOI arXiv
Lederman, Claudia; Markowich, Peter A. On fast-diffusion equations with infinite equilibrium entropy and finite equilibrium mass. (English) Zbl 1024.35040 Commun. Partial Differ. Equations 28, No. 1-2, 301-332 (2003). MSC: 35K57 35B40 35K15 PDFBibTeX XMLCite \textit{C. Lederman} and \textit{P. A. Markowich}, Commun. Partial Differ. Equations 28, No. 1--2, 301--332 (2003; Zbl 1024.35040) Full Text: DOI
Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G. Poincaré inequalities for linearizations of very fast diffusion equations. (English) Zbl 1011.35025 Nonlinearity 15, No. 3, 565-580 (2002). Reviewer: Gabriella Tarantello (Roma) MSC: 35B40 26D10 35K65 35K55 35B45 35R45 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Nonlinearity 15, No. 3, 565--580 (2002; Zbl 1011.35025) Full Text: DOI Link
Carrillo, J. A.; Jüngel, A.; Markowich, P. A.; Toscani, G.; Unterreiter, A. Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. (English) Zbl 0984.35027 Monatsh. Math. 133, No. 1, 1-82 (2001). Reviewer: Reinhard Illner (Victoria) MSC: 35B40 35K65 35Q35 35R45 35K55 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Monatsh. Math. 133, No. 1, 1--82 (2001; Zbl 0984.35027) Full Text: DOI
Ben Abdallah, N.; Degond, P.; Markowich, P.; Schmeiser, C. High field approximations of the spherical harmonics expansion model for semiconductors. (English) Zbl 1174.82345 Z. Angew. Math. Phys. 52, No. 2, 201-230 (2001). MSC: 82D37 82C70 33C90 78A35 PDFBibTeX XMLCite \textit{N. Ben Abdallah} et al., Z. Angew. Math. Phys. 52, No. 2, 201--230 (2001; Zbl 1174.82345) Full Text: DOI
Gasser, Ingenuin; Markowich, Peter A. Quantum hydrodynamics, Wigner transforms and the classical limit. (English) Zbl 0877.76087 Asymptotic Anal. 14, No. 2, 97-116 (1997). MSC: 76Y05 76A02 81Q20 PDFBibTeX XMLCite \textit{I. Gasser} and \textit{P. A. Markowich}, Asymptotic Anal. 14, No. 2, 97--116 (1997; Zbl 0877.76087)
Arnold, Anton; Bonilla, Luis L.; Markowich, Peter A. Liapunov functionals and large-time-asymptotics of mean-field nonlinear Fokker-Planck equations. (English) Zbl 1467.82062 Transp. Theory Stat. Phys. 25, No. 7, 733-751 (1996). MSC: 82C31 82C22 82D30 35B40 60H40 35Q84 PDFBibTeX XMLCite \textit{A. Arnold} et al., Transp. Theory Stat. Phys. 25, No. 7, 733--751 (1996; Zbl 1467.82062) Full Text: DOI
Markowich, P.; Ringhofer, C. Quantum hydrodynamic for semiconductors in the high-field case. (English) Zbl 0814.35128 Appl. Math. Lett. 7, No. 5, 37-41 (1994). MSC: 35Q60 76Y05 PDFBibTeX XMLCite \textit{P. Markowich} and \textit{C. Ringhofer}, Appl. Math. Lett. 7, No. 5, 37--41 (1994; Zbl 0814.35128) Full Text: DOI
Markowich, Peter A.; Renardy, M. A nonlinear Volterra integrodifferential equation describing the stretching of polymeric liquids. (English) Zbl 0507.45013 SIAM J. Math. Anal. 14, 66-97 (1983). MSC: 45J05 65R20 76A10 45M05 PDFBibTeX XMLCite \textit{P. A. Markowich} and \textit{M. Renardy}, SIAM J. Math. Anal. 14, 66--97 (1983; Zbl 0507.45013) Full Text: DOI Link