Hudson, Thomas; Rindler, Filip Elasto-plastic evolution of single crystals driven by dislocation flow. (English) Zbl 1524.74087 Math. Models Methods Appl. Sci. 32, No. 5, 851-910 (2022). MSC: 74E15 74C15 74A60 PDFBibTeX XMLCite \textit{T. Hudson} and \textit{F. Rindler}, Math. Models Methods Appl. Sci. 32, No. 5, 851--910 (2022; Zbl 1524.74087) Full Text: DOI arXiv
Sysala, Stanislav; Haslinger, Jaroslav; Reddy, B. Daya; Repin, Sergey An abstract inf-sup problem inspired by limit analysis in perfect plasticity and related applications. (English) Zbl 1527.90251 Math. Models Methods Appl. Sci. 31, No. 8, 1593-1623 (2021). MSC: 90C46 90C25 74C05 74P99 PDFBibTeX XMLCite \textit{S. Sysala} et al., Math. Models Methods Appl. Sci. 31, No. 8, 1593--1623 (2021; Zbl 1527.90251) Full Text: DOI arXiv
Rossi, Riccarda Visco-energetic solutions to some rate-independent systems in damage, delamination, and plasticity. (English) Zbl 1425.35190 Math. Models Methods Appl. Sci. 29, No. 6, 1079-1138 (2019). MSC: 35Q74 49J40 74C05 74Rxx 74A45 74P10 PDFBibTeX XMLCite \textit{R. Rossi}, Math. Models Methods Appl. Sci. 29, No. 6, 1079--1138 (2019; Zbl 1425.35190) Full Text: DOI arXiv
Trélat, Emmanuel; Zhu, Jiamin; Zuazua, Enrique Allee optimal control of a system in ecology. (English) Zbl 1411.93198 Math. Models Methods Appl. Sci. 28, No. 9, 1665-1697 (2018). MSC: 93E20 93E03 92D40 35K57 90C15 PDFBibTeX XMLCite \textit{E. Trélat} et al., Math. Models Methods Appl. Sci. 28, No. 9, 1665--1697 (2018; Zbl 1411.93198) Full Text: DOI
Ciuperca, I. S.; Feireisl, E.; Jai, M.; Petrov, A. A rigorous derivation of the stationary compressible Reynolds equation via the Navier-Stokes equations. (English) Zbl 1393.35142 Math. Models Methods Appl. Sci. 28, No. 4, 697-732 (2018). MSC: 35Q30 76A20 76N10 PDFBibTeX XMLCite \textit{I. S. Ciuperca} et al., Math. Models Methods Appl. Sci. 28, No. 4, 697--732 (2018; Zbl 1393.35142) Full Text: DOI arXiv
Masmoudi, Nader; Tayeb, Mohamed Lazhar; Tlili, Abderraouf Homogenization of a spherical harmonics expansion model. (English) Zbl 1404.35259 Math. Models Methods Appl. Sci. 28, No. 3, 453-485 (2018). MSC: 35K57 35B27 76P05 33C55 PDFBibTeX XMLCite \textit{N. Masmoudi} et al., Math. Models Methods Appl. Sci. 28, No. 3, 453--485 (2018; Zbl 1404.35259) Full Text: DOI
Röger, Matthias; Schweizer, Ben Strain gradient visco-plasticity with dislocation densities contributing to the energy. (English) Zbl 1386.74034 Math. Models Methods Appl. Sci. 27, No. 14, 2595-2629 (2017). MSC: 74C10 49J45 PDFBibTeX XMLCite \textit{M. Röger} and \textit{B. Schweizer}, Math. Models Methods Appl. Sci. 27, No. 14, 2595--2629 (2017; Zbl 1386.74034) Full Text: DOI arXiv
Rindler, Filip; Schwarzacher, Sebastian; Süli, Endre Regularity and approximation of strong solutions to rate-independent systems. (English) Zbl 1379.49036 Math. Models Methods Appl. Sci. 27, No. 13, 2511-2556 (2017). MSC: 49N60 49J52 49M25 49S05 65J15 74C05 74H15 74H30 PDFBibTeX XMLCite \textit{F. Rindler} et al., Math. Models Methods Appl. Sci. 27, No. 13, 2511--2556 (2017; Zbl 1379.49036) Full Text: DOI arXiv
Knees, Dorothee; Negri, Matteo Convergence of alternate minimization schemes for phase-field fracture and damage. (English) Zbl 1376.49038 Math. Models Methods Appl. Sci. 27, No. 9, 1743-1794 (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 49M25 74R10 PDFBibTeX XMLCite \textit{D. Knees} and \textit{M. Negri}, Math. Models Methods Appl. Sci. 27, No. 9, 1743--1794 (2017; Zbl 1376.49038) Full Text: DOI
Pinnau, René; Totzeck, Claudia; Tse, Oliver; Martin, Stephan A consensus-based model for global optimization and its mean-field limit. (English) Zbl 1388.90098 Math. Models Methods Appl. Sci. 27, No. 1, 183-204 (2017). MSC: 90C26 34F05 35B40 PDFBibTeX XMLCite \textit{R. Pinnau} et al., Math. Models Methods Appl. Sci. 27, No. 1, 183--204 (2017; Zbl 1388.90098) Full Text: DOI arXiv
Maggiani, Giovanni Battista; Mora, Maria Giovanna A dynamic evolution model for perfectly plastic plates. (English) Zbl 1346.74015 Math. Models Methods Appl. Sci. 26, No. 10, 1825-1864 (2016). MSC: 74C05 74K20 49J45 PDFBibTeX XMLCite \textit{G. B. Maggiani} and \textit{M. G. Mora}, Math. Models Methods Appl. Sci. 26, No. 10, 1825--1864 (2016; Zbl 1346.74015) Full Text: DOI
Marheineke, Nicole; Liljegren-Sailer, Björn; Lorenz, Maike; Wegener, Raimund Asymptotics and numerics for the upper-convected Maxwell model describing transient curved viscoelastic jets. (English) Zbl 1371.76003 Math. Models Methods Appl. Sci. 26, No. 3, 569-600 (2016). MSC: 76A05 76A10 76D25 35B25 35C20 35Q35 PDFBibTeX XMLCite \textit{N. Marheineke} et al., Math. Models Methods Appl. Sci. 26, No. 3, 569--600 (2016; Zbl 1371.76003) Full Text: DOI
Farshbaf-Shaker, M. Hassan; Heinemann, Christian A phase field approach for optimal boundary control of damage processes in two-dimensional viscoelastic media. (English) Zbl 1325.35212 Math. Models Methods Appl. Sci. 25, No. 14, 2749-2793 (2015). MSC: 35Q74 49J20 74A45 74D10 74R10 35A01 35A02 35D35 35M33 35M87 74H20 74H25 74P99 PDFBibTeX XMLCite \textit{M. H. Farshbaf-Shaker} and \textit{C. Heinemann}, Math. Models Methods Appl. Sci. 25, No. 14, 2749--2793 (2015; Zbl 1325.35212) Full Text: DOI arXiv
Roubíček, Tomáš; Panagiotopoulos, Christos G.; Mantič, Vladislav Local-solution approach to quasistatic rate-independent mixed-mode delamination. (English) Zbl 1321.35112 Math. Models Methods Appl. Sci. 25, No. 7, 1337-1364 (2015). MSC: 35K85 49S05 65Z05 74C05 74M15 74R20 PDFBibTeX XMLCite \textit{T. Roubíček} et al., Math. Models Methods Appl. Sci. 25, No. 7, 1337--1364 (2015; Zbl 1321.35112) Full Text: DOI arXiv
Guillod, Julien; Wittwer, Peter Asymptotic behaviour of solutions to the stationary Navier-Stokes equations in two-dimensional exterior domains with zero velocity at infinity. (English) Zbl 1308.76064 Math. Models Methods Appl. Sci. 25, No. 2, 229-253 (2015). MSC: 76D03 76D05 35Q30 76D10 76D25 74F10 76M10 PDFBibTeX XMLCite \textit{J. Guillod} and \textit{P. Wittwer}, Math. Models Methods Appl. Sci. 25, No. 2, 229--253 (2015; Zbl 1308.76064) Full Text: DOI arXiv
Andreianov, Boris; Donadello, Carlotta; Rosini, Massimiliano D. Crowd dynamics and conservation laws with nonlocal constraints and capacity drop. (English) Zbl 1307.35166 Math. Models Methods Appl. Sci. 24, No. 13, 2685-2722 (2014). MSC: 35L65 90B20 35L45 35R09 PDFBibTeX XMLCite \textit{B. Andreianov} et al., Math. Models Methods Appl. Sci. 24, No. 13, 2685--2722 (2014; Zbl 1307.35166) Full Text: DOI
Zampini, Stefano Dual-primal methods for the cardiac bidomain model. (English) Zbl 1291.92007 Math. Models Methods Appl. Sci. 24, No. 4, 667-696 (2014). MSC: 92-08 92C30 65M22 65N22 65F08 65F10 65Y05 PDFBibTeX XMLCite \textit{S. Zampini}, Math. Models Methods Appl. Sci. 24, No. 4, 667--696 (2014; Zbl 1291.92007) Full Text: DOI
Bertuzzi, Alessandro; Fasano, Antonio; Gandolfi, Alberto; Sinisgalli, Carmela Modeling the evolution of a tumoral multicellular spheroid as a two-fluid Bingham-like system. (English) Zbl 1280.92019 Math. Models Methods Appl. Sci. 23, No. 14, 2561-2602 (2013). MSC: 92C50 92C35 35Q92 92-08 PDFBibTeX XMLCite \textit{A. Bertuzzi} et al., Math. Models Methods Appl. Sci. 23, No. 14, 2561--2602 (2013; Zbl 1280.92019) Full Text: DOI
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara A vanishing viscosity approach to a rate-independent damage model. (English) Zbl 1262.74030 Math. Models Methods Appl. Sci. 23, No. 4, 565-616 (2013). MSC: 74R05 74C05 35D40 35K86 49J40 PDFBibTeX XMLCite \textit{D. Knees} et al., Math. Models Methods Appl. Sci. 23, No. 4, 565--616 (2013; Zbl 1262.74030) Full Text: DOI
Klar, Axel; Maringer, Johannes; Wegener, Raimund A 3D model for fiber lay-down in nonwoven production processes. (English) Zbl 1248.37046 Math. Models Methods Appl. Sci. 22, No. 9, 1250020, 18 p. (2012). MSC: 37H10 60H30 41A60 65C05 PDFBibTeX XMLCite \textit{A. Klar} et al., Math. Models Methods Appl. Sci. 22, No. 9, 1250020, 18 p. (2012; Zbl 1248.37046) Full Text: DOI
Autuori, Giuseppina; Colasuonno, Francesca; Pucci, Patrizia Lifespan estimates for solutions of polyharmonic Kirchhoff systems. (English) Zbl 1320.35092 Math. Models Methods Appl. Sci. 22, No. 2, 1150009, 36 p. (2012). MSC: 35B44 35L75 35L35 35L55 35Q74 PDFBibTeX XMLCite \textit{G. Autuori} et al., Math. Models Methods Appl. Sci. 22, No. 2, 1150009, 36 p. (2012; Zbl 1320.35092) Full Text: DOI
Costabel, Martin; Dauge, Monique; Nicaise, Serge Analytic regularity for linear elliptic systems in polygons and polyhedra. (English) Zbl 1257.35056 Math. Models Methods Appl. Sci. 22, No. 8, 1250015, 63 p. (2012). Reviewer: Vladimir Mityushev (Kraków) MSC: 35B65 35J25 65N30 PDFBibTeX XMLCite \textit{M. Costabel} et al., Math. Models Methods Appl. Sci. 22, No. 8, 1250015, 63 p. (2012; Zbl 1257.35056) Full Text: DOI arXiv
Arne, Walter; Marheineke, Nicole; Wegener, Raimund Asymptotic transition from Cosserat rod to string models for curved viscous inertial jets. (English) Zbl 1321.74034 Math. Models Methods Appl. Sci. 21, No. 10, 1987-2018 (2011). MSC: 74K10 74K05 74H10 76D25 76U05 PDFBibTeX XMLCite \textit{W. Arne} et al., Math. Models Methods Appl. Sci. 21, No. 10, 1987--2018 (2011; Zbl 1321.74034) Full Text: DOI
Liero, Matthias; Mielke, Alexander An evolutionary elastoplastic plate model derived via \(\Gamma\)-convergence. (English) Zbl 1232.35165 Math. Models Methods Appl. Sci. 21, No. 9, 1961-1986 (2011). MSC: 35Q74 49J45 74C05 74K20 PDFBibTeX XMLCite \textit{M. Liero} and \textit{A. Mielke}, Math. Models Methods Appl. Sci. 21, No. 9, 1961--1986 (2011; Zbl 1232.35165) Full Text: DOI
Preziosi, Luigi; Vitale, Guido A multiphase model of tumor and tissue growth including cell adhesion and plastic reorganization. (English) Zbl 1228.92021 Math. Models Methods Appl. Sci. 21, No. 9, 1901-1932 (2011). MSC: 92C37 92C50 35Q92 PDFBibTeX XMLCite \textit{L. Preziosi} and \textit{G. Vitale}, Math. Models Methods Appl. Sci. 21, No. 9, 1901--1932 (2011; Zbl 1228.92021) Full Text: DOI
Herty, Michael; Sandjo, Albert N. On optimal treatment planning in radiotherapy governed by transport equations. (English) Zbl 1227.49006 Math. Models Methods Appl. Sci. 21, No. 2, 345-359 (2011). MSC: 49J20 35R09 35Q20 49N60 92C50 PDFBibTeX XMLCite \textit{M. Herty} and \textit{A. N. Sandjo}, Math. Models Methods Appl. Sci. 21, No. 2, 345--359 (2011; Zbl 1227.49006) Full Text: DOI
Arne, Walter; Marheineke, Nicole; Meister, Andreas; Wegener, Raimund Numerical analysis of Cosserat rod and string models for viscous jets in rotational spinning processes. (English) Zbl 1376.76012 Math. Models Methods Appl. Sci. 20, No. 10, 1941-1965 (2010). MSC: 76D25 65L60 74K10 76M25 76U05 PDFBibTeX XMLCite \textit{W. Arne} et al., Math. Models Methods Appl. Sci. 20, No. 10, 1941--1965 (2010; Zbl 1376.76012) Full Text: DOI
Knees, Dorothee On global spatial regularity and convergence rates for time-dependent elasto-plasticity. (English) Zbl 1207.35083 Math. Models Methods Appl. Sci. 20, No. 10, 1823-1858 (2010). Reviewer: M. Marin (Brasov) MSC: 35B65 49N60 74C05 74C10 74S05 65M55 PDFBibTeX XMLCite \textit{D. Knees}, Math. Models Methods Appl. Sci. 20, No. 10, 1823--1858 (2010; Zbl 1207.35083) Full Text: DOI
Haspot, Boris Cauchy problem for viscous shallow water equations with A term of capillarity. (English) Zbl 1425.76208 Math. Models Methods Appl. Sci. 20, No. 7, 1049-1087 (2010). MSC: 76N10 35B30 35Q35 PDFBibTeX XMLCite \textit{B. Haspot}, Math. Models Methods Appl. Sci. 20, No. 7, 1049--1087 (2010; Zbl 1425.76208) Full Text: DOI arXiv
Baffico, Leonardo; Grandmont, Céline; Maury, Bertrand Multiscale modeling of the respiratory tract. (English) Zbl 1423.76515 Math. Models Methods Appl. Sci. 20, No. 1, 59-93 (2010). MSC: 76Z05 35Q30 35A01 76S05 PDFBibTeX XMLCite \textit{L. Baffico} et al., Math. Models Methods Appl. Sci. 20, No. 1, 59--93 (2010; Zbl 1423.76515) Full Text: DOI
Frehse, Jens; Löbach, Dominique Regularity results for three-dimensional isotropic and kinematic hardening including boundary differentiability. (English) Zbl 1248.35207 Math. Models Methods Appl. Sci. 19, No. 12, 2231-2262 (2009). MSC: 35Q74 35B65 74C05 74G40 PDFBibTeX XMLCite \textit{J. Frehse} and \textit{D. Löbach}, Math. Models Methods Appl. Sci. 19, No. 12, 2231--2262 (2009; Zbl 1248.35207) Full Text: DOI
Brenner, Susanne C.; Li, Fengyan; Sung, Li-Yeng A nonconforming penalty method for a two-dimensional curl-curl problem. (English) Zbl 1168.78315 Math. Models Methods Appl. Sci. 19, No. 4, 651-668 (2009). MSC: 78M10 78A30 65N30 65N15 35Q60 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Math. Models Methods Appl. Sci. 19, No. 4, 651--668 (2009; Zbl 1168.78315) Full Text: DOI
Neff, Patrizio; Chełmiński, Krzysztof; Alber, Hans-Dieter Notes on strain gradient plasticity: finite strain covariant modelling and global existence in the infinitesimal rate-independent case. (English) Zbl 1160.74009 Math. Models Methods Appl. Sci. 19, No. 2, 307-346 (2009). MSC: 74C05 74A15 74H20 74H25 35Q72 PDFBibTeX XMLCite \textit{P. Neff} et al., Math. Models Methods Appl. Sci. 19, No. 2, 307--346 (2009; Zbl 1160.74009) Full Text: DOI
Bürger, Raimund; Garcia, Antonio; Kunik, Matthias A generalized kinetic model of sedimentation of polydisperse suspensions with a continuous particle size distribution. (English) Zbl 1156.82394 Math. Models Methods Appl. Sci. 18, No. 10, 1741-1785 (2008). MSC: 82C99 35L65 65N25 76T20 PDFBibTeX XMLCite \textit{R. Bürger} et al., Math. Models Methods Appl. Sci. 18, No. 10, 1741--1785 (2008; Zbl 1156.82394) Full Text: DOI
Neff, Patrizio; Chełmiński, Krzysztof; Müller, Wolfgang; Wieners, Christian A numerical solution method for an infinitesimal elasto-plastic Cosserat model. (English) Zbl 1137.74012 Math. Models Methods Appl. Sci. 17, No. 8, 1211-1239 (2007). MSC: 74C05 74S05 74H15 74A35 PDFBibTeX XMLCite \textit{P. Neff} et al., Math. Models Methods Appl. Sci. 17, No. 8, 1211--1239 (2007; Zbl 1137.74012) Full Text: DOI
Chen, Li; Dreher, Michael The viscous model of quantum hydrodynamics in several dimensions. (English) Zbl 1144.35012 Math. Models Methods Appl. Sci. 17, No. 7, 1065-1093 (2007). MSC: 35B40 35Q35 76Y05 35Q40 PDFBibTeX XMLCite \textit{L. Chen} and \textit{M. Dreher}, Math. Models Methods Appl. Sci. 17, No. 7, 1065--1093 (2007; Zbl 1144.35012) Full Text: DOI
Elschner, J.; Kaiser, H.-C.; Rehberg, J.; Schmidt, G. \(W^{1,q}\) regularity results for elliptic transmission problems on heterogeneous polyhedra. (English) Zbl 1206.35059 Math. Models Methods Appl. Sci. 17, No. 4, 593-615 (2007). MSC: 35B65 35J25 35Q40 35R05 PDFBibTeX XMLCite \textit{J. Elschner} et al., Math. Models Methods Appl. Sci. 17, No. 4, 593--615 (2007; Zbl 1206.35059) Full Text: DOI
Neff, Patrizio A geometrically exact planar Cosserat shell model with microstructure: Existence of minimizers for zero Cosserat couple modulus. (English) Zbl 1119.74029 Math. Models Methods Appl. Sci. 17, No. 3, 363-392 (2007). Reviewer: Igor Bock (Bratislava) MSC: 74K20 74G65 74G25 74A35 PDFBibTeX XMLCite \textit{P. Neff}, Math. Models Methods Appl. Sci. 17, No. 3, 363--392 (2007; Zbl 1119.74029) Full Text: DOI
Málek, J.; Růžička, M.; Shelukhin, V. V. Herschel-Bulkley fluids: existence and regularity of steady flows. (English) Zbl 1098.76008 Math. Models Methods Appl. Sci. 15, No. 12, 1845-1861 (2005). Reviewer: Valeriu Al. Sava (Iaşi) MSC: 76A05 35Q35 PDFBibTeX XMLCite \textit{J. Málek} et al., Math. Models Methods Appl. Sci. 15, No. 12, 1845--1861 (2005; Zbl 1098.76008) Full Text: DOI
Schäfer, Matthias; Frank, Martin; Pinnau, René A hierarchy of approximations to the radiative heat transfer equations: modelling, analysis and simulation. (English) Zbl 1085.85002 Math. Models Methods Appl. Sci. 15, No. 4, 643-665 (2005). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 85A25 35B30 PDFBibTeX XMLCite \textit{M. Schäfer} et al., Math. Models Methods Appl. Sci. 15, No. 4, 643--665 (2005; Zbl 1085.85002) Full Text: DOI
Brezzi, F.; Marini, L. D.; Süli, E. Discontinuous Galerkin methods for first-order hyperbolic problems. (English) Zbl 1070.65117 Math. Models Methods Appl. Sci. 14, No. 12, 1893-1903 (2004). MSC: 65N30 35L50 65N12 65N15 PDFBibTeX XMLCite \textit{F. Brezzi} et al., Math. Models Methods Appl. Sci. 14, No. 12, 1893--1903 (2004; Zbl 1070.65117) Full Text: DOI
Hlaváček, Ivan Reliable solution in strain space of elastoplastic problems with isotropic hardening and uncertain data. (English) Zbl 1027.74008 Math. Models Methods Appl. Sci. 12, No. 9, 1337-1357 (2002). MSC: 74C05 74G25 49J40 74G40 PDFBibTeX XMLCite \textit{I. Hlaváček}, Math. Models Methods Appl. Sci. 12, No. 9, 1337--1357 (2002; Zbl 1027.74008) Full Text: DOI