Lu, Yunguang; Tsuge, Naoki Uniformly time-independent \(L^\infty\) estimate for a one-dimensional hydrodynamic model of semiconductors. (English) Zbl 1527.35421 Front. Math. (Beijing) 18, No. 2, 385-394 (2023). MSC: 35Q81 35Q31 35Q60 35L45 35L60 35B45 35B50 78A35 82D37 PDFBibTeX XMLCite \textit{Y. Lu} and \textit{N. Tsuge}, Front. Math. (Beijing) 18, No. 2, 385--394 (2023; Zbl 1527.35421) Full Text: DOI
Cao, Yunbai; Kim, Chanwoo Lipschitz continuous solutions of the Vlasov-Maxwell systems with a conductor boundary condition. (English) Zbl 07746824 Commun. Math. Phys. 403, No. 1, 529-625 (2023). MSC: 35Q83 35Q60 35Q20 35Q35 35Q75 82D10 85A30 86A25 83C10 78A25 76Y05 76X05 76W05 35B65 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{C. Kim}, Commun. Math. Phys. 403, No. 1, 529--625 (2023; Zbl 07746824) Full Text: DOI arXiv
Choi, Young-Pil; Tse, Oliver Quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with singular interaction forces. (English) Zbl 1506.35236 J. Differ. Equations 330, 150-207 (2022). MSC: 35Q83 35Q84 35Q60 35Q31 78A30 76N10 82C40 PDFBibTeX XMLCite \textit{Y.-P. Choi} and \textit{O. Tse}, J. Differ. Equations 330, 150--207 (2022; Zbl 1506.35236) Full Text: DOI arXiv
Sadiq, Nauman; Ahmad, Mushtaq Quantum inertial Alfvén solitary waves: the effect of exchange-correlation and spin magnetization. (English) Zbl 1495.76138 Waves Random Complex Media 31, No. 6, 2058-2073 (2021). MSC: 76X05 76Y05 78A35 PDFBibTeX XMLCite \textit{N. Sadiq} and \textit{M. Ahmad}, Waves Random Complex Media 31, No. 6, 2058--2073 (2021; Zbl 1495.76138) Full Text: DOI
Adam, John A. Rays, waves, and scattering. Topics in classical mathematical physics. (English) Zbl 1386.00065 Princeton Series in Applied Mathematics. Princeton, NJ: Princeton University Press (ISBN 978-0-691-14837-3/hbk; 978-1-4008-8540-4/ebook). xv, 588 p. (2017). Reviewer: Georg Hebermehl (Berlin) MSC: 00A79 78-01 78A40 78A45 78A46 76B15 76B20 76B55 76B60 76B65 76E17 76Q05 74Jxx 81Q05 81U05 81U20 85A25 86A05 86A15 35Q60 35Q35 35Q74 PDFBibTeX XMLCite \textit{J. A. Adam}, Rays, waves, and scattering. Topics in classical mathematical physics. Princeton, NJ: Princeton University Press (2017; Zbl 1386.00065) Full Text: DOI
López, José Luis; Montejo-Gámez, Jesús On the derivation and mathematical analysis of some quantum-mechanical models accounting for Fokker-Planck type dissipation: phase space, Schrödinger and hydrodynamic descriptions. (English) Zbl 1273.81143 Nanoscale Syst., Math. Model. Theory Appl. 2, 49-80 (2013). MSC: 81S22 35G30 35Q55 76Y05 81Q05 81S30 78M05 PDFBibTeX XMLCite \textit{J. L. López} and \textit{J. Montejo-Gámez}, Nanoscale Syst., Math. Model. Theory Appl. 2, 49--80 (2013; Zbl 1273.81143) Full Text: DOI
Bartelmann, Matthias Theoretical astrophysics. An introduction. (English) Zbl 1269.85001 Physics Textbook. Weinheim: Wiley-VCH (ISBN 978-3-527-41004-0/pbk). xx, 320 p. (2013). Reviewer: Stephen Wollman (New York) MSC: 85-01 85A04 85A25 85A30 82D10 83A05 78A25 81T20 76P05 PDFBibTeX XMLCite \textit{M. Bartelmann}, Theoretical astrophysics. An introduction. Weinheim: Wiley-VCH (2013; Zbl 1269.85001)
Fleishman, Gregory D.; Toptygin, Igor N. Cosmic electrodynamics. Electrodynamics and magnetic hydrodynamics of cosmic plasmas. (English) Zbl 1269.85002 Astrophysics and Space Science Library 388. New York, NY: Springer (ISBN 978-1-4614-5781-7/hbk; 978-1-4614-5782-4/ebook). xxii, 712 p. (2013). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 85-02 85A40 78A25 85A30 85A25 85A15 82D10 PDFBibTeX XMLCite \textit{G. D. Fleishman} and \textit{I. N. Toptygin}, Cosmic electrodynamics. Electrodynamics and magnetic hydrodynamics of cosmic plasmas. New York, NY: Springer (2013; Zbl 1269.85002) Full Text: DOI
Narayanan, A. Satya An introduction to waves and oscillations in the sun. (English) Zbl 1262.85001 Astronomy and Astrophysics Library. New York, NY: Springer (ISBN 978-1-4614-4399-5/hbk; 978-1-4614-4400-8/ebook). xii, 222 p. (2013). Reviewer: Stephen Wollman (New York) MSC: 85-02 85A15 85A30 85-03 01A60 76W05 35L05 83C55 78A25 PDFBibTeX XMLCite \textit{A. S. Narayanan}, An introduction to waves and oscillations in the sun. New York, NY: Springer (2013; Zbl 1262.85001) Full Text: DOI
López, José Luis; Montejo-Gámez, Jesús On viscous quantum hydrodynamics associated with nonlinear Schrödinger-Doebner-Goldin models. (English) Zbl 1261.81065 Kinet. Relat. Models 5, No. 3, 517-536 (2012). MSC: 81Q05 76Y05 35Q30 81S30 78M05 35Q55 PDFBibTeX XMLCite \textit{J. L. López} and \textit{J. Montejo-Gámez}, Kinet. Relat. Models 5, No. 3, 517--536 (2012; Zbl 1261.81065) Full Text: DOI
Chen, H.; Liu, S. Q. Electron-acoustic solitary structures in two-electron-temperature plasma with superthermal electrons. (English) Zbl 1255.85022 Astrophys. Space Sci. 339, No. 1, 179-184 (2012). MSC: 85A30 78A25 35Q53 PDFBibTeX XMLCite \textit{H. Chen} and \textit{S. Q. Liu}, Astrophys. Space Sci. 339, No. 1, 179--184 (2012; Zbl 1255.85022) Full Text: DOI arXiv
Courvoisier, Thierry J.-L. High energy astrophysics. An introduction. (English) Zbl 1257.85001 Astronomy and Astrophysics Library. Berlin: Springer (ISBN 978-3-642-30969-4/hbk; 978-3-642-30970-0/ebook). xv, 332 p. (2012). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 85-02 85A25 85A40 83-02 83C15 83C57 83C35 85A30 78A25 PDFBibTeX XMLCite \textit{T. J. L. Courvoisier}, High energy astrophysics. An introduction. Berlin: Springer (2012; Zbl 1257.85001) Full Text: DOI
El-Labany, S. K.; Moslem, W. M.; El-Bedwehy, N. A.; Sabry, R.; El-Razek, H. N. Abd Rogue wave in Titan’s atmosphere. (English) Zbl 1238.85021 Astrophys. Space Sci. 338, No. 1, 3-8 (2012). MSC: 85A20 85A30 35L05 35Q53 81S10 78A25 83C50 PDFBibTeX XMLCite \textit{S. K. El-Labany} et al., Astrophys. Space Sci. 338, No. 1, 3--8 (2012; Zbl 1238.85021) Full Text: DOI
Masood, W.; Rizvi, H.; Jehan, N.; Siddiq, M. Dissipative cylindrical fast magnetoacoustic waves in planetary magnetospheres. (English) Zbl 1230.85017 Astrophys. Space Sci. 335, No. 2, 405-413 (2011). MSC: 85A20 85A15 78A25 85A30 76W05 PDFBibTeX XMLCite \textit{W. Masood} et al., Astrophys. Space Sci. 335, No. 2, 405--413 (2011; Zbl 1230.85017) Full Text: DOI
El-Bedwehy, N. A.; Moslem, W. M. Zakharov-Kuznetsov-Burgers equation in superthermal electron-positron-ion plasma. (English) Zbl 1232.85006 Astrophys. Space Sci. 335, No. 2, 435-442 (2011). MSC: 85A30 76W05 78A25 35Q51 PDFBibTeX XMLCite \textit{N. A. El-Bedwehy} and \textit{W. M. Moslem}, Astrophys. Space Sci. 335, No. 2, 435--442 (2011; Zbl 1232.85006) Full Text: DOI
Ilak, Miloš; Bagheri, Shervin; Brandt, Luca; Rowley, Clarence W.; Henningson, Dan S. Model reduction of the nonlinear complex Ginzburg-Landau equation. (English) Zbl 1202.76061 SIAM J. Appl. Dyn. Syst. 9, No. 4, 1284-1302 (2010). MSC: 76E15 78M34 PDFBibTeX XMLCite \textit{M. Ilak} et al., SIAM J. Appl. Dyn. Syst. 9, No. 4, 1284--1302 (2010; Zbl 1202.76061) Full Text: DOI
Portilheiro, Manuel; Tzavaras, Athanasios E. Hydrodynamic limits for kinetic equations and the diffusive approximation of radiative transport for acoustic waves. (English) Zbl 1120.35066 Trans. Am. Math. Soc. 359, No. 2, 529-565 (2007). Reviewer: Jacek Banasiak (Durban) MSC: 35L65 76Q05 78A40 82C40 PDFBibTeX XMLCite \textit{M. Portilheiro} and \textit{A. E. Tzavaras}, Trans. Am. Math. Soc. 359, No. 2, 529--565 (2007; Zbl 1120.35066) Full Text: DOI
Kemm, Friedemann Magnetic charges or why it is sometimes reasonable to model something mathematically that does not exist at all. (Magnetische Ladungen oder, warum es manchmal sinnvoll ist, etwas mathematisch zu modellieren, was es gar nicht gibt.) (German) Zbl 1134.78001 Math. Semesterber. 53, No. 2, 137-151 (2006). Reviewer: Georg Hebermehl (Berlin) MSC: 78A25 78M99 76W05 85A30 PDFBibTeX XMLCite \textit{F. Kemm}, Math. Semesterber. 53, No. 2, 137--151 (2006; Zbl 1134.78001) Full Text: DOI
Brazhe, R. A.; Kudelin, O. N. Semiconductor analog of the Lorenz turbulence model in a circular thermoconvective cell. (Russian) Zbl 1133.82332 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinein. Din. 13, No. 1-2, 114-122 (2005). Reviewer: Andrei Zemskov (Moskva) MSC: 82D37 76R05 76P05 78A25 82B40 PDFBibTeX XMLCite \textit{R. A. Brazhe} and \textit{O. N. Kudelin}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 13, No. 1--2, 114--122 (2005; Zbl 1133.82332)
Blokhin, A. M.; Bushmanov, R. S.; Romano, Vittorio Asymptotic stability of the equilibrium state for the macroscopic balance equations of charge transport in semiconductiors. (English. Russian summary) Zbl 1032.35034 Vychisl. Tekhnol. 8, No. 3, 7-22 (2003). MSC: 35B35 35Q60 35B40 82D37 78A35 PDFBibTeX XMLCite \textit{A. M. Blokhin} et al., Vychisl. Tekhnol. 8, No. 3, 7--22 (2003; Zbl 1032.35034) Full Text: Link
Pregla, A. V.; Zhugzhda, Y. D.; Staude, J. On nonadiabatic waves in the photospheres of cool stars. (English) Zbl 1036.76055 Astron. Nachr. 323, No. 5, 465-474 (2002). MSC: 76N15 85A30 78A40 85A15 PDFBibTeX XMLCite \textit{A. V. Pregla} et al., Astron. Nachr. 323, No. 5, 465--474 (2002; Zbl 1036.76055) Full Text: DOI
Yuang, Zhiliang; Jing, Hairong; Tian, Lirong The maintenance of magnetic field in moving plasma. (English) Zbl 1067.78500 J. Beijing Norm. Univ., Nat. Sci. 36, No. 4, 529-535 (2000). MSC: 78A25 85A30 76W05 PDFBibTeX XMLCite \textit{Z. Yuang} et al., J. Beijing Norm. Univ., Nat. Sci. 36, No. 4, 529--535 (2000; Zbl 1067.78500)
Völger, Hans Rainer; Sauermann, Herwig Analysis of a degenerate travelling wave instability. (English) Zbl 0960.76036 J. Phys. A, Math. Gen. 32, No. 3, 479-492 (1999). MSC: 76E30 78A40 82D45 82D40 PDFBibTeX XMLCite \textit{H. R. Völger} and \textit{H. Sauermann}, J. Phys. A, Math. Gen. 32, No. 3, 479--492 (1999; Zbl 0960.76036) Full Text: DOI
Chen, Gui-Qiang; Jerome, Joseph W.; Shu, Chi-Wang; Wang, Dehua Two-carrier semiconductor device models with geometric structure and symmetry properties. (English) Zbl 0926.65095 Jerome, Joseph W. (ed.), Modelling and computation for application in mathematics, science, and engineering. Workshop, Northwestern Univ., Evanston, IL, USA, May 3–4, 1996. Oxford: Clarendon Press. Numerical Mathematics and Scientific Computation. 103-140 (1998). MSC: 65M06 65C05 78M20 35Q60 78A55 PDFBibTeX XMLCite \textit{G.-Q. Chen} et al., in: Modelling and computation for application in mathematics, science, and engineering. Workshop, Northwestern Univ., Evanston, IL, USA, May 3--4, 1996. Oxford: Clarendon Press. 103--140 (1998; Zbl 0926.65095)
Fushchych, Wilhelm; Tsyfra, Ivan On new Galilei- and Poincaré-invariant nonlinear equations for electromagnetic field. (English) Zbl 0967.81033 J. Nonlinear Math. Phys. 4, No. 1-2, 44-48 (1997). MSC: 81R20 78A25 PDFBibTeX XMLCite \textit{W. Fushchych} and \textit{I. Tsyfra}, J. Nonlinear Math. Phys. 4, No. 1--2, 44--48 (1997; Zbl 0967.81033) Full Text: DOI
Klimov, O. V.; Tel’nikov, A. A. Self-adjustment effects in a laser driven burning. (English. Russian original) Zbl 0944.78019 Prikl. Mekh. Tekh. Fiz. 38, No. 6, 3-9 (1997); translation in J. Appl. Mech. Tech. Phys. 38, No. 6, 815-820 (1997). Reviewer: Yu.A.Bogan (Novosibirsk) MSC: 78A60 76E99 PDFBibTeX XMLCite \textit{O. V. Klimov} and \textit{A. A. Tel'nikov}, Prikl. Mekh. Tekh. Fiz. 38, No. 6, 3--9 (1997; Zbl 0944.78019); translation in J. Appl. Mech. Tech. Phys. 38, No. 6, 815--820 (1997)
Fedorov, Yu. I.; Stehlik, M. Description of anisotropic particle pulse transport based on the kinetic equation. (English) Zbl 0916.76074 Astrophys. Space Sci. 253, No. 1, 55-72 (1997). MSC: 76P05 78A35 85A30 PDFBibTeX XMLCite \textit{Yu. I. Fedorov} and \textit{M. Stehlik}, Astrophys. Space Sci. 253, No. 1, 55--72 (1997; Zbl 0916.76074) Full Text: DOI
Shakhov, B. A.; Stehlik, M. Three-dimensional energetic particle distribution past an instantaneous uni-directional injection. (English) Zbl 0894.76074 Astrophys. Space Sci. 250, No. 1, 75-91 (1997). MSC: 76P05 85A30 78A35 PDFBibTeX XMLCite \textit{B. A. Shakhov} and \textit{M. Stehlik}, Astrophys. Space Sci. 250, No. 1, 75--91 (1997; Zbl 0894.76074) Full Text: DOI
Banasiak, J. Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer. (English) Zbl 0879.35146 J. Math. Anal. Appl. 205, No. 1, 216-238 (1997). Reviewer: Ll.G.Chambers (Bangor) MSC: 35Q60 78A35 76P05 PDFBibTeX XMLCite \textit{J. Banasiak}, J. Math. Anal. Appl. 205, No. 1, 216--238 (1997; Zbl 0879.35146) Full Text: DOI
Marrocco, Americo; Montarnal, Philippe Simulation of energy transport models via mixed finite elements. (Simulation de modèles “energy transport” à l’aide des éléments finis mixtes.) (French. Abridged English version) Zbl 0858.65111 C. R. Acad. Sci., Paris, Sér. I 323, No. 5, 535-541 (1996). MSC: 65N30 35J05 78A55 PDFBibTeX XMLCite \textit{A. Marrocco} and \textit{P. Montarnal}, C. R. Acad. Sci., Paris, Sér. I 323, No. 5, 535--541 (1996; Zbl 0858.65111)
Marcati, P. A.; Natalini, R. On the hydrodynamic model for semiconductors and the relaxation to the drift-diffusion equation. (English) Zbl 0919.35136 Glimm, J. (ed.) et al., Proceedings of the 5th international conference on hyperbolic problems: theory, numerics, applications, New York, NY, USA, June 13–17, 1994. Singapore: World Scientific. 198-206 (1996). MSC: 35Q60 35Q35 78A35 35J05 PDFBibTeX XMLCite \textit{P. A. Marcati} and \textit{R. Natalini}, in: Proceedings of the 5th international conference on hyperbolic problems: theory, numerics, applications, New York, NY, USA, June 13--17, 1994. Singapore: World Scientific. 198--206 (1996; Zbl 0919.35136)
Jüngel, A. A degenerate quasi-hydrodynamic model for semiconductor devices. (English) Zbl 0900.35401 Z. Angew. Math. Mech. 76, Suppl. 2, 563-564 (1996). MSC: 35Q60 78A55 PDFBibTeX XMLCite \textit{A. Jüngel}, Z. Angew. Math. Mech. 76, 563--564 (1996; Zbl 0900.35401)
Sumithra, G. V.; Ramaiah, M. G. Studies on force-free-magnetic fields. (English) Zbl 0855.76095 Bull. Pure Appl. Sci., Sect. E 14, No. 1, 11-16 (1995). MSC: 76W05 85A30 78A25 PDFBibTeX XMLCite \textit{G. V. Sumithra} and \textit{M. G. Ramaiah}, Bull. Pure Appl. Sci., Sect. E 14, No. 1, 11--16 (1995; Zbl 0855.76095)
Aluru, N. R.; Law, K. H.; Pinsky, P. M.; Dutton, R. W. An analysis of the hydrodynamic semiconductor device model – boundary conditions and simulations. (English) Zbl 0850.65298 COMPEL 14, No. 2-3, 157-185 (1995). MSC: 65Z05 65N38 78A55 35Q60 PDFBibTeX XMLCite \textit{N. R. Aluru} et al., COMPEL 14, No. 2--3, 157--185 (1995; Zbl 0850.65298) Full Text: DOI
Markowich, Peter A.; Schmeiser, Christian Relaxation time approximation for electron-phonon interaction in semiconductors. (English) Zbl 0832.65142 Math. Models Methods Appl. Sci. 5, No. 4, 519-527 (1995). Reviewer: H.Brunner (St.John’s) MSC: 65R20 45E10 45K05 78A55 PDFBibTeX XMLCite \textit{P. A. Markowich} and \textit{C. Schmeiser}, Math. Models Methods Appl. Sci. 5, No. 4, 519--527 (1995; Zbl 0832.65142) Full Text: DOI
Berezin, Yu. A.; Fedoruk, M. P. Modeling of nonstationary plasma processes. (Modelirovanie nestatsionarnykh plazmennykh protsessov.) (Russian) Zbl 0887.76002 Novosibirsk: VO “Nauka”. 357 p. (1993). Reviewer: Yu.S.Sayasov (MR 94k:76104) MSC: 76-02 76X05 76M20 76W05 78A55 82D10 85A30 PDFBibTeX XMLCite \textit{Yu. A. Berezin} and \textit{M. P. Fedoruk}, Modelirovanie nestatsionarnykh plazmennykh protsessov (Russian). Novosibirsk: VO ``Nauka'' (1993; Zbl 0887.76002)
Degtyarev, L. M.; Krylov, V. V. A method for the numerical solution of problems of the dynamics of wave fields with singularities. (English) Zbl 0399.65075 U.S.S.R. Comput. Math. Math. Phys. 17(1977), No. 6, 172-179 (1978). MSC: 65N22 65N12 35L05 78A25 78A40 PDFBibTeX XMLCite \textit{L. M. Degtyarev} and \textit{V. V. Krylov}, U.S.S.R. Comput. Math. Math. Phys. 17, No. 6, 172--179 (1978; Zbl 0399.65075) Full Text: DOI