Nutt, Richard; Schnaubelt, Roland Normal trace inequalities and decay of solutions to the nonlinear Maxwell system with absorbing boundary. (English) Zbl 07782562 J. Math. Anal. Appl. 532, No. 1, Article ID 127915, 35 p. (2024). Reviewer: Eric Stachura (Marietta) MSC: 35Q61 35L72 35B65 35B44 78A25 PDFBibTeX XMLCite \textit{R. Nutt} and \textit{R. Schnaubelt}, J. Math. Anal. Appl. 532, No. 1, Article ID 127915, 35 p. (2024; Zbl 07782562) Full Text: DOI
Druet, Pierre-Etienne A regularity result for quasilinear elliptic systems with an equation of energy-type. arXiv:2401.03309 Preprint, arXiv:2401.03309 [math.AP] (2024). MSC: 35J47 35J58 35J62 35D30 35B65 35R05 35R06 35A02 35Q60 35Q79 78A57 BibTeX Cite \textit{P.-E. Druet}, ``A regularity result for quasilinear elliptic systems with an equation of energy-type'', Preprint, arXiv:2401.03309 [math.AP] (2024) Full Text: arXiv OA License
Chen, Liang; Mei, Ming; Zhang, Guojing Radially symmetric spiral flows of the compressible Euler-Poisson system for semiconductors. (English) Zbl 1527.35419 J. Differ. Equations 373, 359-388 (2023). MSC: 35Q81 35Q31 35Q60 76L05 76J20 76H05 76N10 78A35 82D37 35L60 35B06 35B36 35B40 35B65 35A01 35A02 47H10 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Differ. Equations 373, 359--388 (2023; Zbl 1527.35419) Full Text: DOI
Zerulla, Konstantin; Jahnke, Tobias Analysis of a Peaceman-Rachford ADI scheme for Maxwell equations in heterogeneous media. (English) Zbl 1519.35313 J. Math. Anal. Appl. 527, No. 1, Part 1, Article ID 127355, 47 p. (2023). MSC: 35Q61 78A25 35B65 78M20 65M06 65N06 PDFBibTeX XMLCite \textit{K. Zerulla} and \textit{T. Jahnke}, J. Math. Anal. Appl. 527, No. 1, Part 1, Article ID 127355, 47 p. (2023; Zbl 1519.35313) Full Text: DOI arXiv
Wang, Guang-wu; Wang, You-de Global smooth solution to the incompressible Navier-Stokes-Landau-Lifshitz equations. (English) Zbl 1514.35366 Acta Math. Appl. Sin., Engl. Ser. 39, No. 1, 135-178 (2023). MSC: 35Q35 35Q30 35Q60 76D05 78A25 82D40 35B65 35A01 35A02 35B44 35L02 PDFBibTeX XMLCite \textit{G.-w. Wang} and \textit{Y.-d. Wang}, Acta Math. Appl. Sin., Engl. Ser. 39, No. 1, 135--178 (2023; Zbl 1514.35366) Full Text: DOI
Rozanova, Olga S.; Chizhonkov, Eugeniy V. The influence of an external magnetic field on cold plasma oscillations. (English) Zbl 1501.35385 Z. Angew. Math. Phys. 73, No. 6, Paper No. 249, 15 p. (2022). MSC: 35Q60 35L60 35L67 34M10 35B65 35B44 35C07 76X05 76W05 78A60 78A30 65L06 PDFBibTeX XMLCite \textit{O. S. Rozanova} and \textit{E. V. Chizhonkov}, Z. Angew. Math. Phys. 73, No. 6, Paper No. 249, 15 p. (2022; Zbl 1501.35385) Full Text: DOI arXiv
Schippa, Robert; Schnaubelt, Roland On quasilinear Maxwell equations in two dimensions. (English) Zbl 1508.35177 Pure Appl. Anal. 4, No. 2, 313-365 (2022). Reviewer: Catalin Popa (Iaşi) MSC: 35Q61 35B65 35L45 78A60 78A40 35A01 35A02 35S05 42B10 PDFBibTeX XMLCite \textit{R. Schippa} and \textit{R. Schnaubelt}, Pure Appl. Anal. 4, No. 2, 313--365 (2022; Zbl 1508.35177) Full Text: DOI arXiv
Ciarlet, Patrick jun. On the approximation of electromagnetic fields by edge finite elements. IV: Analysis of the model with one sign-changing coefficient. (English) Zbl 1502.65193 Numer. Math. 152, No. 2, 223-257 (2022). Reviewer: Vladimir Vasilyev (Belgorod) MSC: 65N30 78A25 78A48 78M10 35B65 35J57 35Q61 PDFBibTeX XMLCite \textit{P. Ciarlet jun.}, Numer. Math. 152, No. 2, 223--257 (2022; Zbl 1502.65193) Full Text: DOI
Pan, Xing-Bin Div-curl system with potential and Maxwell-Stokes system with natural boundary condition. (English) Zbl 1497.35452 J. Dyn. Differ. Equations 34, No. 3, 1769-1821 (2022). MSC: 35Q61 35Q60 35Q35 35A15 35J47 35J50 35J57 78A30 76W05 76D07 35B65 35A01 PDFBibTeX XMLCite \textit{X.-B. Pan}, J. Dyn. Differ. Equations 34, No. 3, 1769--1821 (2022; Zbl 1497.35452) Full Text: DOI
Cao, Shuhao; Wang, Chunmei; Wang, Junping A new numerical method for div-curl systems with low regularity assumptions. (English) Zbl 1524.65770 Comput. Math. Appl. 114, 47-59 (2022). MSC: 65N30 65N15 65N12 78M10 35J25 35B65 PDFBibTeX XMLCite \textit{S. Cao} et al., Comput. Math. Appl. 114, 47--59 (2022; Zbl 1524.65770) Full Text: DOI arXiv
Zhao, Zhiwen Asymptotic analysis for the electric field concentration with geometry of the core-shell structure. (English) Zbl 1487.78015 Commun. Pure Appl. Anal. 21, No. 4, 1109-1137 (2022). MSC: 78A48 35B44 35C20 35B65 35J25 78M35 35Q60 PDFBibTeX XMLCite \textit{Z. Zhao}, Commun. Pure Appl. Anal. 21, No. 4, 1109--1137 (2022; Zbl 1487.78015) Full Text: DOI
Ciarlet, Patrick; Kachanovska, Maryna A mathematical study of a hyperbolic metamaterial in free space. (English) Zbl 1500.35270 SIAM J. Math. Anal. 54, No. 2, 2216-2250 (2022). Reviewer: Morteza Shahpari (Adelaide) MSC: 35Q60 78A25 78A40 35B30 35B65 35L10 35A01 35A02 35J05 PDFBibTeX XMLCite \textit{P. Ciarlet} and \textit{M. Kachanovska}, SIAM J. Math. Anal. 54, No. 2, 2216--2250 (2022; Zbl 1500.35270) Full Text: DOI
Luo, Yongming On the local in time well-posedness of an elliptic-parabolic ferroelectric phase-field model. (English) Zbl 1507.35279 Nonlinear Anal., Real World Appl. 65, Article ID 103462, 30 p. (2022). MSC: 35Q74 74F15 78A25 82D40 35K61 35K58 35B44 35B65 35J47 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Luo}, Nonlinear Anal., Real World Appl. 65, Article ID 103462, 30 p. (2022; Zbl 1507.35279) Full Text: DOI arXiv
Chen, Liang; Mei, Ming; Zhang, Guojing; Zhang, Kaijun Transonic steady-states of Euler-Poisson equations for semiconductor models with sonic boundary. (English) Zbl 1487.35366 SIAM J. Math. Anal. 54, No. 1, 363-388 (2022). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q81 35G50 35B40 35B65 35C06 35L67 76H05 76L05 76J20 78A35 35A01 35Q35 35Q60 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Math. Anal. 54, No. 1, 363--388 (2022; Zbl 1487.35366) Full Text: DOI
Chen, Gang; Qiu, Weifeng; Xu, Liwei Analysis of an interior penalty DG method for the quad-curl problem. (English) Zbl 1511.65120 IMA J. Numer. Anal. 41, No. 4, 2990-3023 (2021). MSC: 65N30 65N25 65N12 65N15 78A46 76W05 35J48 35B65 35Q60 35Q35 PDFBibTeX XMLCite \textit{G. Chen} et al., IMA J. Numer. Anal. 41, No. 4, 2990--3023 (2021; Zbl 1511.65120) Full Text: DOI arXiv
Suzuki, Takashi Interface vanishing for nonstationary Maxwell equation. (English) Zbl 1489.35269 Adv. Math. Sci. Appl. 30, No. 2, 555-570 (2021). Reviewer: Eric Stachura (Marietta) MSC: 35Q61 78A25 35B65 35L40 PDFBibTeX XMLCite \textit{T. Suzuki}, Adv. Math. Sci. Appl. 30, No. 2, 555--570 (2021; Zbl 1489.35269) Full Text: Link
Zhao, Zhiwen; Hao, Xia Asymptotics for the concentrated field between closely located hard inclusions in all dimensions. (English) Zbl 1478.78042 Commun. Pure Appl. Anal. 20, No. 6, 2379-2398 (2021). MSC: 78A48 35B44 35B65 35J25 35C20 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{X. Hao}, Commun. Pure Appl. Anal. 20, No. 6, 2379--2398 (2021; Zbl 1478.78042) Full Text: DOI
Li, Yachun; Peng, Yue-Jun; Zhao, Liang Convergence rates in zero-relaxation limits for Euler-Maxwell and Euler-Poisson systems. (English. French summary) Zbl 1480.35331 J. Math. Pures Appl. (9) 154, 185-211 (2021). MSC: 35Q35 35Q60 35B25 35B10 35B65 35K45 35L45 76X05 78A25 82D37 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Math. Pures Appl. (9) 154, 185--211 (2021; Zbl 1480.35331) Full Text: DOI
Rozanova, Olga S.; Chizhonkov, Eugeniy V. On the conditions for the breaking of oscillations in a cold plasma. (English) Zbl 1464.35338 Z. Angew. Math. Phys. 72, No. 1, Paper No. 13, 15 p. (2021). MSC: 35Q60 35Q35 78A25 76X05 76Y05 76L05 35L60 35L67 35B20 35B65 35B44 35C07 35A01 34M10 PDFBibTeX XMLCite \textit{O. S. Rozanova} and \textit{E. V. Chizhonkov}, Z. Angew. Math. Phys. 72, No. 1, Paper No. 13, 15 p. (2021; Zbl 1464.35338) Full Text: DOI arXiv
Feng, Yue-Hong; Li, Xin; Wang, Shu Stability of non-constant equilibrium solutions for the full compressible Navier-Stokes-Maxwell system. (English) Zbl 1460.35282 J. Math. Fluid Mech. 23, No. 1, Paper No. 26, 18 p. (2021). MSC: 35Q35 35Q60 35L45 35L60 35L65 76X05 76N06 35B35 35B65 78A25 PDFBibTeX XMLCite \textit{Y.-H. Feng} et al., J. Math. Fluid Mech. 23, No. 1, Paper No. 26, 18 p. (2021; Zbl 1460.35282) Full Text: DOI
Romanov, Vladimir G. Regularization of a continuation problem for electrodynamic equations. (English) Zbl 1469.35197 J. Inverse Ill-Posed Probl. 28, No. 5, 751-760 (2020). Reviewer: Eric Stachura (Marietta) MSC: 35Q61 78A25 35B65 35F45 35L40 35R25 PDFBibTeX XMLCite \textit{V. G. Romanov}, J. Inverse Ill-Posed Probl. 28, No. 5, 751--760 (2020; Zbl 1469.35197) Full Text: DOI
Hamdache, Kamel; Hamroun, Djamila Existence of large solutions to the Landau-Lifshitz-Bloch equation. (English) Zbl 1462.35377 Commun. Math. Sci. 18, No. 2, 487-513 (2020). MSC: 35Q60 35A01 35B10 35D35 35B65 35G31 82D40 78A30 PDFBibTeX XMLCite \textit{K. Hamdache} and \textit{D. Hamroun}, Commun. Math. Sci. 18, No. 2, 487--513 (2020; Zbl 1462.35377) Full Text: DOI
Benoit, Antoine Weak well-posedness of hyperbolic boundary value problems in a strip: when instabilities do not reflect the geometry. (English) Zbl 1461.35149 Commun. Pure Appl. Anal. 19, No. 12, 5475-5486 (2020). MSC: 35L50 35B30 35B65 78A05 PDFBibTeX XMLCite \textit{A. Benoit}, Commun. Pure Appl. Anal. 19, No. 12, 5475--5486 (2020; Zbl 1461.35149) Full Text: DOI
Nicaise, Serge; Tomezyk, Jérôme The time-harmonic Maxwell equations with impedance boundary conditions in polyhedral domains. (English) Zbl 1445.78013 Langer, Ulrich (ed.) et al., Maxwell’s equations. Analysis and numerics. Contributions from the workshop on analysis and numerics of acoustic and electromagnetic problems, RICAM, Linz, Austria, October 17–22, 2016. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 24, 285-340 (2019). MSC: 78M10 35J57 35B65 65N12 65N30 65N50 78M30 35J05 35D30 35B35 35Q61 PDFBibTeX XMLCite \textit{S. Nicaise} and \textit{J. Tomezyk}, Radon Ser. Comput. Appl. Math. 24, 285--340 (2019; Zbl 1445.78013) Full Text: DOI
Bonnet-Ben Dhia, Anne-Sophie; Carvalho, Camille; Ciarlet, Patrick jun. Mesh requirements for the finite element approximation of problems with sign-changing coefficients. (English) Zbl 1384.78009 Numer. Math. 138, No. 4, 801-838 (2018). MSC: 78M10 65N30 78A48 35J20 35B65 PDFBibTeX XMLCite \textit{A.-S. Bonnet-Ben Dhia} et al., Numer. Math. 138, No. 4, 801--838 (2018; Zbl 1384.78009) Full Text: DOI HAL
Nicaise, Serge Singularities of the quad curl problem. (English) Zbl 1391.35365 J. Differ. Equations 264, No. 8, 5025-5069 (2018). Reviewer: Georg Hebermehl (Berlin) MSC: 35Q60 35B65 35A15 35B45 78A25 PDFBibTeX XMLCite \textit{S. Nicaise}, J. Differ. Equations 264, No. 8, 5025--5069 (2018; Zbl 1391.35365) Full Text: DOI HAL
Bauer, Sebastian A non-relativistic model of plasma physics containing a radiation reaction term. (English) Zbl 1379.35315 Kinet. Relat. Models 11, No. 1, 25-42 (2018). MSC: 35Q83 35B30 35L60 78A40 82C21 82C22 82D10 35B65 35Q60 PDFBibTeX XMLCite \textit{S. Bauer}, Kinet. Relat. Models 11, No. 1, 25--42 (2018; Zbl 1379.35315) Full Text: DOI arXiv
Hyvönen, Nuutti; Mustonen, Lauri Smoothened complete electrode model. (English) Zbl 1391.35364 SIAM J. Appl. Math. 77, No. 6, 2250-2271 (2017). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q60 35J25 65N21 35B65 35R30 78A25 PDFBibTeX XMLCite \textit{N. Hyvönen} and \textit{L. Mustonen}, SIAM J. Appl. Math. 77, No. 6, 2250--2271 (2017; Zbl 1391.35364) Full Text: DOI arXiv
Xu, Jiang; Kawashima, Shuichi The minimal decay regularity of smooth solutions to the Euler-Maxwell two-fluid system. (English) Zbl 1359.35160 J. Hyperbolic Differ. Equ. 13, No. 4, 719-733 (2016). MSC: 35Q35 35B40 35L45 82D10 76X05 35B65 76N10 78A25 35Q61 PDFBibTeX XMLCite \textit{J. Xu} and \textit{S. Kawashima}, J. Hyperbolic Differ. Equ. 13, No. 4, 719--733 (2016; Zbl 1359.35160) Full Text: DOI
Consiglieri, Luisa Radiative effects for some bidimensional thermoelectric problems. (English) Zbl 1354.80003 Adv. Nonlinear Anal. 5, No. 4, 347-366 (2016). MSC: 80A17 78A30 35R05 35J65 35J20 35B65 35D30 PDFBibTeX XMLCite \textit{L. Consiglieri}, Adv. Nonlinear Anal. 5, No. 4, 347--366 (2016; Zbl 1354.80003) Full Text: DOI arXiv
Kar, Manas; Sini, Mourad An \(H^{s,p}(\mathrm{curl};\Omega)\) estimate for the Maxwell system. (English) Zbl 1341.78006 Math. Ann. 364, No. 1-2, 559-587 (2016). Reviewer: Vladimir Čadež (Beograd) MSC: 78A25 35B45 35Q61 35D30 35J25 35B65 PDFBibTeX XMLCite \textit{M. Kar} and \textit{M. Sini}, Math. Ann. 364, No. 1--2, 559--587 (2016; Zbl 1341.78006) Full Text: DOI arXiv
Yamamoto, Masakazu Spatial analyticity of solutions to the drift-diffusion equation with generalized dissipation. (English) Zbl 1225.35042 Arch. Math. 97, No. 3, 261-270 (2011). MSC: 35B65 35K45 35Q60 78A35 82D37 35R11 PDFBibTeX XMLCite \textit{M. Yamamoto}, Arch. Math. 97, No. 3, 261--270 (2011; Zbl 1225.35042) Full Text: DOI
Eller, Matthias On boundary regularity of solutions to Maxwell’s equations with a homogeneous conservative boundary condition. (English) Zbl 1181.35029 Discrete Contin. Dyn. Syst., Ser. S 2, No. 3, 473-481 (2009). MSC: 35B65 35L50 78A25 35Q61 PDFBibTeX XMLCite \textit{M. Eller}, Discrete Contin. Dyn. Syst., Ser. S 2, No. 3, 473--481 (2009; Zbl 1181.35029) Full Text: DOI
Latrach, Khalid; Megdiche, Hatem Spectral properties and regularity of solutions to transport equations in slab geometry. (English) Zbl 1107.47060 Math. Methods Appl. Sci. 29, No. 17, 2089-2121 (2006). MSC: 47N20 47G20 47D06 47A55 82C70 35B40 35B65 35F30 78A45 PDFBibTeX XMLCite \textit{K. Latrach} and \textit{H. Megdiche}, Math. Methods Appl. Sci. 29, No. 17, 2089--2121 (2006; Zbl 1107.47060) Full Text: DOI
Menon, Govind Gevrey class regularity for the attractor of the laser equations. (English) Zbl 0949.35026 Nonlinearity 12, No. 6, 1505-1510 (1999). Reviewer: L.Recke (Berlin) MSC: 35B65 35B41 78A60 35L60 35L50 37N20 PDFBibTeX XMLCite \textit{G. Menon}, Nonlinearity 12, No. 6, 1505--1510 (1999; Zbl 0949.35026) Full Text: DOI Link
Busenberg, Stavros; Fang, Weifu Identification of semiconductor contact resistivity. (English) Zbl 0749.35062 Q. Appl. Math. 49, No. 4, 639-649 (1991). Reviewer: G.Bruckner (Berlin) MSC: 35R30 35Q60 35J25 78A35 PDFBibTeX XMLCite \textit{S. Busenberg} and \textit{W. Fang}, Q. Appl. Math. 49, No. 4, 639--649 (1991; Zbl 0749.35062) Full Text: DOI
Martínez Gamba, Irene Behavior of the potential at the pn-junction for a model in semiconductor theory. (English) Zbl 0759.35048 Appl. Math. Lett. 3, No. 4, 59-63 (1990). Reviewer: S.Kichenassamy (Minneapolis) MSC: 35Q60 31A15 78A35 35B65 35J25 PDFBibTeX XMLCite \textit{I. Martínez Gamba}, Appl. Math. Lett. 3, No. 4, 59--63 (1990; Zbl 0759.35048) Full Text: DOI
Birman, M. Sh.; Solomyak, M. Z. Maxwell operator in regions with nonsmooth boundaries. (English. Russian original) Zbl 0655.35067 Sib. Math. J. 28, No. 1-2, 12-24 (1987); translation from Sib. Mat. Zh. 28, No. 1(161), 23-36 (1987). Reviewer: A.Borisov MSC: 35Q61 78A25 35J25 35J67 35B65 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{M. Z. Solomyak}, Sib. Math. J. 28, No. 1--2, 12--24 (1987; Zbl 0655.35067); translation from Sib. Mat. Zh. 28, No. 1(161), 23--36 (1987) Full Text: DOI
Heinrich, J. Globale Existenz und Eindeutigkeit starker Lösungen für ein Gleichungssystem, das den Ladungstransport in einem Halbleiter beschreibt. (Global existence and uniqueness of strong solutions for a system of equations which describes the carrier transport in a semiconductor). (German) Zbl 0653.35012 Z. Anal. Anwend. 6, 209-223 (1987). MSC: 35G30 35A05 78A25 35B65 PDFBibTeX XMLCite \textit{J. Heinrich}, Z. Anal. Anwend. 6, 209--223 (1987; Zbl 0653.35012) Full Text: DOI
Bloom, F. A condition implying the global existence of \(C^ 1\) solutions for a class of nonlinear transmission lines. (English) Zbl 0633.35048 Comput. Math. Appl. 13, 861-879 (1987). MSC: 35L60 35L67 78A25 35A05 35B65 PDFBibTeX XMLCite \textit{F. Bloom}, Comput. Math. Appl. 13, 861--879 (1987; Zbl 0633.35048) Full Text: DOI
Bloom, Frederick Nonexistence of smooth electromagnetic fields in nonlinear dielectrics. I: Infinite cylindrical dielectrics. (English) Zbl 0604.35056 Math. Modelling 6, 125-144 (1985). Reviewer: M.Idemen MSC: 35L70 78A25 78A40 35A05 35B65 PDFBibTeX XMLCite \textit{F. Bloom}, Math. Modelling 6, 125--144 (1985; Zbl 0604.35056) Full Text: DOI
Weder, R. Spectral analysis of strongly propagative systems. (English) Zbl 0541.35012 J. Reine Angew. Math. 354, 95-122 (1984). MSC: 35F05 35P05 35B65 76Q05 86A15 78A40 PDFBibTeX XMLCite \textit{R. Weder}, J. Reine Angew. Math. 354, 95--122 (1984; Zbl 0541.35012) Full Text: DOI Crelle EuDML
Milani, Albert Local in time existence for the complete Maxwell equations with monotone characteristic in a bounded domain. (English) Zbl 0498.35077 Ann. Mat. Pura Appl., IV. Ser. 131, 233-254 (1982). MSC: 35Q99 35L70 78A25 35A05 35A30 35B65 35B30 PDFBibTeX XMLCite \textit{A. Milani}, Ann. Mat. Pura Appl. (4) 131, 233--254 (1982; Zbl 0498.35077) Full Text: DOI
Saak, Eh. M. On a method for the solution of the problem of the diffraction of waves. (Russian) Zbl 0479.35029 Boundary value problems of mathematical physics, Collect. sci. Works, Kiev 1981, 113-114 (1981). MSC: 35J05 78A45 35J25 35A05 35A08 35A35 35B65 PDFBibTeX XML
Weber, C. Regularity theorems for Maxwell’s equations. (English) Zbl 0477.35020 Math. Methods Appl. Sci. 3, 523-536 (1981). MSC: 35B65 35G15 78A25 35Q99 78A45 PDFBibTeX XMLCite \textit{C. Weber}, Math. Methods Appl. Sci. 3, 523--536 (1981; Zbl 0477.35020) Full Text: DOI