Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks. (English) Zbl 1495.35170 Math. Models Methods Appl. Sci. 32, No. 7, 1475-1492 (2022). MSC: 35Q74 35J88 49J52 74A20 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Models Methods Appl. Sci. 32, No. 7, 1475--1492 (2022; Zbl 1495.35170) Full Text: DOI
Burkovska, Olena; Gunzburger, Max On a nonlocal Cahn-Hilliard model permitting sharp interfaces. (English) Zbl 1484.35352 Math. Models Methods Appl. Sci. 31, No. 9, 1749-1786 (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q56 35K55 35B65 35D30 35A01 35A02 49J40 49M41 65M60 65M06 65N30 65K15 PDFBibTeX XMLCite \textit{O. Burkovska} and \textit{M. Gunzburger}, Math. Models Methods Appl. Sci. 31, No. 9, 1749--1786 (2021; Zbl 1484.35352) Full Text: DOI arXiv
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Lagrange multiplier approach to unilateral indentation problems: well-posedness and application to linearized viscoelasticity with non-invertible constitutive response. (English) Zbl 1473.35551 Math. Models Methods Appl. Sci. 31, No. 3, 649-674 (2021). MSC: 35Q74 49J40 74D99 74M15 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Models Methods Appl. Sci. 31, No. 3, 649--674 (2021; Zbl 1473.35551) Full Text: DOI
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Crack problem within the context of implicitly constituted quasi-linear viscoelasticity. (English) Zbl 1411.35249 Math. Models Methods Appl. Sci. 29, No. 2, 355-372 (2019). MSC: 35Q74 49J52 74D10 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Models Methods Appl. Sci. 29, No. 2, 355--372 (2019; Zbl 1411.35249) Full Text: DOI
Friedrich, Manuel A Korn-type inequality in SBD for functions with small jump sets. (English) Zbl 1386.74123 Math. Models Methods Appl. Sci. 27, No. 13, 2461-2484 (2017). MSC: 74R10 49J45 70G75 PDFBibTeX XMLCite \textit{M. Friedrich}, Math. Models Methods Appl. Sci. 27, No. 13, 2461--2484 (2017; Zbl 1386.74123) 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
Jesslé, Didier; Novotný, Antonín; Pokorný, Milan Steady Navier-Stokes-Fourier system with slip boundary conditions. (English) Zbl 1430.76409 Math. Models Methods Appl. Sci. 24, No. 4, 751-781 (2014). MSC: 76N10 35Q30 80A19 PDFBibTeX XMLCite \textit{D. Jesslé} et al., Math. Models Methods Appl. Sci. 24, No. 4, 751--781 (2014; Zbl 1430.76409) Full Text: DOI
Ciarlet, Philippe G.; Mardare, Sorin Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. (English) Zbl 1286.49053 Math. Models Methods Appl. Sci. 23, No. 12, 2293-2321 (2013). MSC: 49Q20 49J45 74B20 74G25 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{S. Mardare}, Math. Models Methods Appl. Sci. 23, No. 12, 2293--2321 (2013; Zbl 1286.49053) Full Text: DOI
Catto, I.; Dolbeault, J.; Sánchez, O.; Soler, J. Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle. (English) Zbl 1283.35117 Math. Models Methods Appl. Sci. 23, No. 10, 1915-1938 (2013). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q55 82D10 35A01 82D37 35Q60 PDFBibTeX XMLCite \textit{I. Catto} et al., Math. Models Methods Appl. Sci. 23, No. 10, 1915--1938 (2013; Zbl 1283.35117) Full Text: DOI arXiv
Burke, Siobhan; Ortner, Christoph; Süli, Endre An adaptive finite element approximation of a generalized Ambrosio-Tortorelli functional. (English) Zbl 1266.74044 Math. Models Methods Appl. Sci. 23, No. 9, 1663-1697 (2013). MSC: 74S05 65N30 74R10 74G65 74G15 PDFBibTeX XMLCite \textit{S. Burke} et al., Math. Models Methods Appl. Sci. 23, No. 9, 1663--1697 (2013; Zbl 1266.74044) Full Text: DOI
Amrouche, Chérif; Seloula, Nour El Houda \(L^p\)-theory for vector potentials and Sobolev’s inequalities for vector fields: application to the Stokes equations with pressure boundary conditions. (English) Zbl 1260.35101 Math. Models Methods Appl. Sci. 23, No. 1, 37-92 (2013). MSC: 35Q30 35J50 35J57 76D03 PDFBibTeX XMLCite \textit{C. Amrouche} and \textit{N. E. H. Seloula}, Math. Models Methods Appl. Sci. 23, No. 1, 37--92 (2013; Zbl 1260.35101) Full Text: DOI
Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea Modeling and analysis of an antiplane piezoelectric contact problem. (English) Zbl 1421.74077 Math. Models Methods Appl. Sci. 19, No. 8, 1295-1324 (2009). MSC: 74M15 74M10 74F15 74G25 49J40 PDFBibTeX XMLCite \textit{S. Migórski} et al., Math. Models Methods Appl. Sci. 19, No. 8, 1295--1324 (2009; Zbl 1421.74077) Full Text: DOI
Dolbeault, Jean; Felmer, Patricio; Lewin, Mathieu Orbitally stable states in generalized Hartree-Fock theory. (English) Zbl 1171.35454 Math. Models Methods Appl. Sci. 19, No. 3, 347-367 (2009). MSC: 35Q40 81V45 81Q10 82B10 35A15 35B35 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Math. Models Methods Appl. Sci. 19, No. 3, 347--367 (2009; Zbl 1171.35454) 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
Migórski, Stanisław; Ochal, Anna; Sofonea, Mircea Integrodifferential hemivariational inequalities with applications to viscoelastic frictional contact. (English) Zbl 1159.47038 Math. Models Methods Appl. Sci. 18, No. 2, 271-290 (2008). Reviewer: Petre P. Teodorescu (Bucureşti) MSC: 47J20 49J40 74M15 74M10 74H20 PDFBibTeX XMLCite \textit{S. Migórski} et al., Math. Models Methods Appl. Sci. 18, No. 2, 271--290 (2008; Zbl 1159.47038) Full Text: DOI
Vauchelet, Nicolas Diffusive transport of partially quantized particles: \(L \log L\) solutions. (English) Zbl 1159.35405 Math. Models Methods Appl. Sci. 18, No. 4, 489-510 (2008). MSC: 35Q40 35Q35 76R99 35B45 35B40 49K20 49S05 PDFBibTeX XMLCite \textit{N. Vauchelet}, Math. Models Methods Appl. Sci. 18, No. 4, 489--510 (2008; Zbl 1159.35405) 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
Bartier, Jean-Philippe; Dolbeault, Jean; Illner, Reinhard; Kowalczyk, Michał A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients. (English) Zbl 1117.35030 Math. Models Methods Appl. Sci. 17, No. 3, 327-362 (2007). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35K10 26D10 35K15 35K20 35K65 46E35 47J20 PDFBibTeX XMLCite \textit{J.-P. Bartier} et al., Math. Models Methods Appl. Sci. 17, No. 3, 327--362 (2007; Zbl 1117.35030) Full Text: DOI
Barboteu, M.; Fernández, J. R.; Hoarau-Mantel, T.-V. A class of evolutionary variational inequalities with applications in viscoelasticity. (English) Zbl 1082.49006 Math. Models Methods Appl. Sci. 15, No. 10, 1595-1617 (2005). MSC: 49J40 47J20 65M15 65M60 65N12 74D10 74M15 74S05 74S20 PDFBibTeX XMLCite \textit{M. Barboteu} et al., Math. Models Methods Appl. Sci. 15, No. 10, 1595--1617 (2005; Zbl 1082.49006) Full Text: DOI
Le Roux, C. Steady Stokes flows with threshold slip boundary conditions. (English) Zbl 1129.35424 Math. Models Methods Appl. Sci. 15, No. 8, 1141-1168 (2005). MSC: 35J85 35Q35 35B30 76D03 76D05 PDFBibTeX XMLCite \textit{C. Le Roux}, Math. Models Methods Appl. Sci. 15, No. 8, 1141--1168 (2005; Zbl 1129.35424) Full Text: DOI
Hlaváček, Ivan; Lovíšek, Ján Semi-coercive variational inequalities with uncertain input data. Applications to shallow shells. (English) Zbl 1071.49006 Math. Models Methods Appl. Sci. 15, No. 2, 273-299 (2005). Reviewer: Leszek Gasiński (Kraków) MSC: 49J40 93C73 74K25 PDFBibTeX XMLCite \textit{I. Hlaváček} and \textit{J. Lovíšek}, Math. Models Methods Appl. Sci. 15, No. 2, 273--299 (2005; Zbl 1071.49006) 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
Cecon, Barbara; Paolini, Maurizio; Romeo, Mariangela Optimal interface error estimates for a discrete double obstacle approximation to the prescribed curvature problem. (English) Zbl 0958.35059 Math. Models Methods Appl. Sci. 9, No. 6, 799-823 (1999). MSC: 35J85 65N15 74N99 35B25 35B50 PDFBibTeX XMLCite \textit{B. Cecon} et al., Math. Models Methods Appl. Sci. 9, No. 6, 799--823 (1999; Zbl 0958.35059) Full Text: DOI
Ben Belgacem, Faker; Hild, Patrick; Laborde, Patrick Extension of the mortar finite element method to a variational inequality modeling unilateral contact. (English) Zbl 0940.74056 Math. Models Methods Appl. Sci. 9, No. 2, 287-303 (1999). MSC: 74S05 74M15 49J40 65N30 PDFBibTeX XMLCite \textit{F. Ben Belgacem} et al., Math. Models Methods Appl. Sci. 9, No. 2, 287--303 (1999; Zbl 0940.74056) Full Text: DOI
Hlaváček, Ivan; Whiteman, John R. Existence and uniqueness of solutions in strain space of elastoplastic problems with isotropic hardening. (English) Zbl 0869.73078 Math. Models Methods Appl. Sci. 7, No. 1, 31-48 (1997). MSC: 74S30 74P10 74C99 49J40 PDFBibTeX XMLCite \textit{I. Hlaváček} and \textit{J. R. Whiteman}, Math. Models Methods Appl. Sci. 7, No. 1, 31--48 (1997; Zbl 0869.73078) Full Text: DOI
Johnson, Claes Adaptive finite element methods for the obstacle problem. (English) Zbl 0767.65056 Math. Models Methods Appl. Sci. 2, No. 4, 483-487 (1992). MSC: 65K10 49M15 35J85 49J40 PDFBibTeX XMLCite \textit{C. Johnson}, Math. Models Methods Appl. Sci. 2, No. 4, 483--487 (1992; Zbl 0767.65056) Full Text: DOI