Schmidt, Bernd; Zeman, Jiří A bending-torsion theory for thin and ultrathin rods as a \(\Gamma\)-limit of atomistic models. (English) Zbl 07777592 Multiscale Model. Simul. 21, No. 4, 1717-1745 (2023). MSC: 74K10 49J45 PDFBibTeX XMLCite \textit{B. Schmidt} and \textit{J. Zeman}, Multiscale Model. Simul. 21, No. 4, 1717--1745 (2023; Zbl 07777592) Full Text: DOI arXiv
Riva, Filippo; Scilla, Giovanni; Solombrino, Francesco The notions of inertial balanced viscosity and inertial virtual viscosity solution for rate-independent systems. (English) Zbl 1528.74041 Adv. Calc. Var. 16, No. 4, 903-934 (2023). MSC: 74H10 74H15 49S05 PDFBibTeX XMLCite \textit{F. Riva} et al., Adv. Calc. Var. 16, No. 4, 903--934 (2023; Zbl 1528.74041) Full Text: DOI arXiv OA License
Schmidt, Bernd; Zeman, Jiří A continuum model for brittle nanowires derived from an atomistic description by \(\Gamma \)-convergence. (English) Zbl 07748717 Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 243, 37 p. (2023). MSC: 74K10 49J45 74R10 70G75 82D77 PDFBibTeX XMLCite \textit{B. Schmidt} and \textit{J. Zeman}, Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 243, 37 p. (2023; Zbl 07748717) Full Text: DOI arXiv OA License
Cicalese, Marco; Kreutz, Leonard; Leonardi, Gian Paolo Emergence of Wulff-crystals from atomistic systems on the FCC and HCP lattices. (English) Zbl 07732082 Commun. Math. Phys. 402, No. 3, 2931-2978 (2023). MSC: 82Dxx 82Bxx 49Jxx PDFBibTeX XMLCite \textit{M. Cicalese} et al., Commun. Math. Phys. 402, No. 3, 2931--2978 (2023; Zbl 07732082) Full Text: DOI arXiv
Landstorfer, M.; Ohlberger, M.; Rave, S.; Tacke, M. A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells. (English) Zbl 1515.78032 Eur. J. Appl. Math. 34, No. 3, 554-591 (2023). MSC: 78A57 49M37 35Q92 34B15 65K05 PDFBibTeX XMLCite \textit{M. Landstorfer} et al., Eur. J. Appl. Math. 34, No. 3, 554--591 (2023; Zbl 1515.78032) Full Text: DOI arXiv
Caroccia, Marco A compactness theorem for functions on Poisson point clouds. (English) Zbl 1512.49015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 231, Article ID 113032, 18 p. (2023). Reviewer: Savin Treanta (Bucureşti) MSC: 49J45 PDFBibTeX XMLCite \textit{M. Caroccia}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 231, Article ID 113032, 18 p. (2023; Zbl 1512.49015) Full Text: DOI arXiv
Knees, Dorothee; Thomas, Stephanie Optimal control of a rate-independent system constrained to parametrized balanced viscosity solutions. (English) Zbl 1512.49004 SIAM J. Control Optim. 61, No. 2, 723-754 (2023). MSC: 49J20 49J27 49J40 35D40 35Q74 74C05 PDFBibTeX XMLCite \textit{D. Knees} and \textit{S. Thomas}, SIAM J. Control Optim. 61, No. 2, 723--754 (2023; Zbl 1512.49004) Full Text: DOI arXiv
Engl, Dominik; Kreisbeck, Carolin On the interplay of anisotropy and geometry for polycrystals in single-slip crystal plasticity. (English) Zbl 07821845 ZAMM, Z. Angew. Math. Mech. 102, No. 11, Article ID e202100418, 26 p. (2022). MSC: 49S05 74Cxx 74E15 PDFBibTeX XMLCite \textit{D. Engl} and \textit{C. Kreisbeck}, ZAMM, Z. Angew. Math. Mech. 102, No. 11, Article ID e202100418, 26 p. (2022; Zbl 07821845) Full Text: DOI arXiv OA License
Herzog, Roland; Knees, Dorothee; Meyer, Christian; Sievers, Michael; Stötzner, Ailyn; Thomas, Stephanie Rate-independent systems and their viscous regularizations: analysis, simulation, and optimal control. (English) Zbl 1502.49016 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 121-144 (2022). MSC: 49J52 49J27 49J40 74C05 74H15 PDFBibTeX XMLCite \textit{R. Herzog} et al., ISNM, Int. Ser. Numer. Math. 172, 121--144 (2022; Zbl 1502.49016) Full Text: DOI
Del Nin, Giacomo; Petrache, Mircea Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings. (English) Zbl 1504.52019 Calc. Var. Partial Differ. Equ. 61, No. 6, Paper No. 226, 44 p. (2022). MSC: 52C23 49Q20 49J45 49Q10 52B11 52C07 52C22 PDFBibTeX XMLCite \textit{G. Del Nin} and \textit{M. Petrache}, Calc. Var. Partial Differ. Equ. 61, No. 6, Paper No. 226, 44 p. (2022; Zbl 1504.52019) Full Text: DOI arXiv
Braun, Julian; Schmidt, Bernd An atomistic derivation of von-Kármán plate theory. (English) Zbl 1502.70014 Netw. Heterog. Media 17, No. 4, 613-644 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 70C20 74K20 49J45 PDFBibTeX XMLCite \textit{J. Braun} and \textit{B. Schmidt}, Netw. Heterog. Media 17, No. 4, 613--644 (2022; Zbl 1502.70014) Full Text: DOI arXiv
García Trillos, Nicolás; Murray, Ryan; Thorpe, Matthew From graph cuts to isoperimetric inequalities: convergence rates of Cheeger cuts on data clouds. (English) Zbl 07525964 Arch. Ration. Mech. Anal. 244, No. 3, 541-598 (2022). MSC: 68Pxx 05C85 49Qxx 52Axx 62G05 PDFBibTeX XMLCite \textit{N. García Trillos} et al., Arch. Ration. Mech. Anal. 244, No. 3, 541--598 (2022; Zbl 07525964) Full Text: DOI arXiv
Bellova, Katarina; Julia, Antoine; Otto, Felix Uniform energy distribution in a pattern-forming system of surface charges. (English) Zbl 1487.49049 Rev. Mat. Iberoam. 38, No. 3, 783-822 (2022). MSC: 49Q10 35J50 49S05 49N60 PDFBibTeX XMLCite \textit{K. Bellova} et al., Rev. Mat. Iberoam. 38, No. 3, 783--822 (2022; Zbl 1487.49049) Full Text: DOI arXiv
Betz, Livia Vanishing-viscosity solutions to a rate-independent two-field gradient damage model. (English) Zbl 07813184 ZAMM, Z. Angew. Math. Mech. 101, No. 11, Article ID e201900226, 25 p. (2021). MSC: 74Rxx 74Axx 49Jxx PDFBibTeX XMLCite \textit{L. Betz}, ZAMM, Z. Angew. Math. Mech. 101, No. 11, Article ID e201900226, 25 p. (2021; Zbl 07813184) Full Text: DOI OA License
Bourne, David P.; Cristoferi, Riccardo Asymptotic optimality of the triangular lattice for a class of optimal location problems. (English) Zbl 1476.49054 Commun. Math. Phys. 387, No. 3, 1549-1602 (2021). MSC: 49Q20 49J45 52B20 82B20 82D60 PDFBibTeX XMLCite \textit{D. P. Bourne} and \textit{R. Cristoferi}, Commun. Math. Phys. 387, No. 3, 1549--1602 (2021; Zbl 1476.49054) Full Text: DOI arXiv
Kružík, Martin; Zeman, Jiří Elastoplasticity of gradient-polyconvex materials. (English) Zbl 1477.35262 Z. Angew. Math. Phys. 72, No. 5, Paper No. 174, 17 p. (2021). MSC: 35Q74 49J40 74C15 PDFBibTeX XMLCite \textit{M. Kružík} and \textit{J. Zeman}, Z. Angew. Math. Phys. 72, No. 5, Paper No. 174, 17 p. (2021; Zbl 1477.35262) Full Text: DOI arXiv
Davoli, Elisa; Ferreira, Rita; Kreisbeck, Carolin Homogenization in BV of a model for layered composites in finite crystal plasticity. (English) Zbl 1467.49044 Adv. Calc. Var. 14, No. 3, 441-473 (2021). MSC: 49S05 49J45 74E15 74C15 PDFBibTeX XMLCite \textit{E. Davoli} et al., Adv. Calc. Var. 14, No. 3, 441--473 (2021; Zbl 1467.49044) Full Text: DOI arXiv
Melching, David; Neunteufel, Michael; Schöberl, Joachim; Stefanelli, Ulisse A finite-strain model for incomplete damage in elastoplastic materials. (English) Zbl 1506.74075 Comput. Methods Appl. Mech. Eng. 374, Article ID 113571, 28 p. (2021). MSC: 74C15 35Q74 49J40 65N30 74A45 PDFBibTeX XMLCite \textit{D. Melching} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113571, 28 p. (2021; Zbl 1506.74075) Full Text: DOI arXiv
Rindler, Filip; Schwarzacher, Sebastian; Velázquez, Juan J. L. Two-speed solutions to non-convex rate-independent systems. (English) Zbl 1460.35016 Arch. Ration. Mech. Anal. 239, No. 3, 1667-1731 (2021). MSC: 35B25 35D35 35R70 49J45 PDFBibTeX XMLCite \textit{F. Rindler} et al., Arch. Ration. Mech. Anal. 239, No. 3, 1667--1731 (2021; Zbl 1460.35016) Full Text: DOI arXiv
Rossi, Riccarda; Stefanelli, Ulisse; Thomas, Marita Rate-independent evolution of sets. (English) Zbl 1458.35006 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 89-119 (2021). MSC: 35A15 35R37 74R10 49Q10 PDFBibTeX XMLCite \textit{R. Rossi} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 89--119 (2021; Zbl 1458.35006) Full Text: DOI arXiv
Conti, Sergio; Dolzmann, Georg Optimal laminates in single-slip elastoplasticity. (English) Zbl 1454.74021 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 1-16 (2021). MSC: 74C15 74B20 49J45 PDFBibTeX XMLCite \textit{S. Conti} and \textit{G. Dolzmann}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 1--16 (2021; Zbl 1454.74021) Full Text: DOI
Colombo, Giovanni; Gidoni, Paolo On the optimal control of rate-independent soft crawlers. (English. French summary) Zbl 1456.49007 J. Math. Pures Appl. (9) 146, 127-157 (2021). MSC: 49J21 49M25 70Q05 70E60 PDFBibTeX XMLCite \textit{G. Colombo} and \textit{P. Gidoni}, J. Math. Pures Appl. (9) 146, 127--157 (2021; Zbl 1456.49007) Full Text: DOI arXiv
Kubin, A.; Ponsiglione, M. Attractive Riesz potentials acting on hard spheres. (English) Zbl 1475.49020 Nonlinearity 34, No. 1, 350-371 (2021). Reviewer: Elvira Zappale (Roma) MSC: 49J45 49J10 PDFBibTeX XMLCite \textit{A. Kubin} and \textit{M. Ponsiglione}, Nonlinearity 34, No. 1, 350--371 (2021; Zbl 1475.49020) Full Text: DOI arXiv
Cristoferi, R.; Thorpe, M. Large data limit for a phase transition model with the \(p\)-Laplacian on point clouds. (English) Zbl 1503.49021 Eur. J. Appl. Math. 31, No. 2, 185-231 (2020). MSC: 49J55 49J45 62G20 PDFBibTeX XMLCite \textit{R. Cristoferi} and \textit{M. Thorpe}, Eur. J. Appl. Math. 31, No. 2, 185--231 (2020; Zbl 1503.49021) Full Text: DOI arXiv
Scilla, Giovanni Motion of discrete interfaces on the triangular lattice. (English) Zbl 1467.82027 Milan J. Math. 88, No. 2, 315-346 (2020). MSC: 82B20 82B24 82D40 74Q10 49M25 PDFBibTeX XMLCite \textit{G. Scilla}, Milan J. Math. 88, No. 2, 315--346 (2020; Zbl 1467.82027) Full Text: DOI arXiv
Melching, David; Stefanelli, Ulisse Well-posedness of a one-dimensional nonlinear kinematic hardening model. (English) Zbl 1444.74010 Discrete Contin. Dyn. Syst., Ser. S 13, No. 8, 2271-2284 (2020). MSC: 74C05 74P15 49J40 PDFBibTeX XMLCite \textit{D. Melching} and \textit{U. Stefanelli}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 8, 2271--2284 (2020; Zbl 1444.74010) Full Text: DOI
Dunlop, Matthew M.; Slepčev, Dejan; Stuart, Andrew M.; Thorpe, Matthew Large data and zero noise limits of graph-based semi-supervised learning algorithms. (English) Zbl 1442.62768 Appl. Comput. Harmon. Anal. 49, No. 2, 655-697 (2020). MSC: 62R07 62G20 49J45 62C10 62F15 90C20 90C48 68T05 PDFBibTeX XMLCite \textit{M. M. Dunlop} et al., Appl. Comput. Harmon. Anal. 49, No. 2, 655--697 (2020; Zbl 1442.62768) Full Text: DOI arXiv Link
Caroccia, Marco; Cristoferi, Riccardo On the Gamma convergence of functionals defined over pairs of measures and energy-measures. (English) Zbl 1444.49015 J. Nonlinear Sci. 30, No. 4, 1723-1769 (2020). Reviewer: Lakehal Belarbi (Mostaganem) MSC: 49Q20 28A25 49J45 PDFBibTeX XMLCite \textit{M. Caroccia} and \textit{R. Cristoferi}, J. Nonlinear Sci. 30, No. 4, 1723--1769 (2020; Zbl 1444.49015) Full Text: DOI arXiv
Conti, Sergio; Dolzmann, Georg Numerical study of microstructures in single-slip finite elastoplasticity. (English) Zbl 1433.49061 J. Optim. Theory Appl. 184, No. 1, 43-60 (2020). MSC: 49S05 49J45 74B20 74C15 PDFBibTeX XMLCite \textit{S. Conti} and \textit{G. Dolzmann}, J. Optim. Theory Appl. 184, No. 1, 43--60 (2020; Zbl 1433.49061) Full Text: DOI
Kružík, Martin; Pelech, Petr; Schlömerkemper, Anja Gradient polyconvexity in evolutionary models of shape-memory alloys. (English) Zbl 1432.49016 J. Optim. Theory Appl. 184, No. 1, 5-20 (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 35B05 35Q74 49J10 74A30 PDFBibTeX XMLCite \textit{M. Kružík} et al., J. Optim. Theory Appl. 184, No. 1, 5--20 (2020; Zbl 1432.49016) Full Text: DOI
Cazeaux, Paul; Luskin, Mitchell; Massatt, Daniel Energy minimization of two dimensional incommensurate heterostructures. (English) Zbl 1433.74051 Arch. Ration. Mech. Anal. 235, No. 2, 1289-1325 (2020). MSC: 74G65 49J45 82D25 37N15 PDFBibTeX XMLCite \textit{P. Cazeaux} et al., Arch. Ration. Mech. Anal. 235, No. 2, 1289--1325 (2020; Zbl 1433.74051) Full Text: DOI arXiv
Christowiak, Fabian; Kreisbeck, Carolin Asymptotic rigidity of layered structures and its application in homogenization theory. (English) Zbl 1437.49025 Arch. Ration. Mech. Anal. 235, No. 1, 51-98 (2020). MSC: 49J45 74B99 74Q99 PDFBibTeX XMLCite \textit{F. Christowiak} and \textit{C. Kreisbeck}, Arch. Ration. Mech. Anal. 235, No. 1, 51--98 (2020; Zbl 1437.49025) Full Text: DOI arXiv
Buet, Blanche; Mirebeau, Jean-Marie; van Gennip, Yves; Desquilbet, François; Dreo, Johann; Barbaresco, Frédéric; Leonardi, Gian Paolo; Masnou, Simon; Schönlieb, Carola-Bibiane Partial differential equations and variational methods for geometric processing of images. (English) Zbl 1476.49007 SMAI J. Comput. Math. S5, 109-128 (2019). Reviewer: Yekini Shehu (Nsukka) MSC: 49J20 49J35 68U10 PDFBibTeX XMLCite \textit{B. Buet} et al., SMAI J. Comput. Math. S5, 109--128 (2019; Zbl 1476.49007) Full Text: DOI
Dondl, Patrick; Frenzel, Thomas; Mielke, Alexander A gradient system with a wiggly energy and relaxed EDP-convergence. (English) Zbl 1444.35101 ESAIM, Control Optim. Calc. Var. 25, Paper No. 68, 45 p. (2019). MSC: 35K55 35B27 35A15 49S05 49J40 49J45 PDFBibTeX XMLCite \textit{P. Dondl} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 68, 45 p. (2019; Zbl 1444.35101) 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
De Luca, L.; Novaga, M.; Ponsiglione, M. \(\mathit\Gamma\)-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter. (English) Zbl 1425.74108 J. Nonlinear Sci. 29, No. 4, 1273-1299 (2019). MSC: 74C20 82B24 49J45 PDFBibTeX XMLCite \textit{L. De Luca} et al., J. Nonlinear Sci. 29, No. 4, 1273--1299 (2019; Zbl 1425.74108) Full Text: DOI arXiv
Slepčev, Dejan; Thorpe, Matthew Analysis of \(p\)-Laplacian regularization in semisupervised learning. (English) Zbl 1422.49020 SIAM J. Math. Anal. 51, No. 3, 2085-2120 (2019). MSC: 49J55 49J45 62G20 35J20 65N12 PDFBibTeX XMLCite \textit{D. Slepčev} and \textit{M. Thorpe}, SIAM J. Math. Anal. 51, No. 3, 2085--2120 (2019; Zbl 1422.49020) Full Text: DOI arXiv
Boussaid, Omar; Kreisbeck, Carolin; Schlömerkemper, Anja Characterizations of symmetric polyconvexity. (English) Zbl 1420.49004 Arch. Ration. Mech. Anal. 234, No. 1, 417-451 (2019). MSC: 49J10 49J45 74B05 74G65 PDFBibTeX XMLCite \textit{O. Boussaid} et al., Arch. Ration. Mech. Anal. 234, No. 1, 417--451 (2019; Zbl 1420.49004) Full Text: DOI arXiv
Thorpe, Matthew; Theil, Florian Asymptotic analysis of the Ginzburg-Landau functional on point clouds. (English) Zbl 1417.49013 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 2, 387-427 (2019). MSC: 49J45 49J55 62G20 PDFBibTeX XMLCite \textit{M. Thorpe} and \textit{F. Theil}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 2, 387--427 (2019; Zbl 1417.49013) Full Text: DOI arXiv
Akagi, Goro; Melchionna, Stefano Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint. (English) Zbl 1461.35165 NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 2, Paper No. 10, 33 p. (2019). MSC: 35M86 35B44 35B51 49J27 58E30 74R99 PDFBibTeX XMLCite \textit{G. Akagi} and \textit{S. Melchionna}, NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 2, Paper No. 10, 33 p. (2019; Zbl 1461.35165) Full Text: DOI arXiv
Goldman, Michael; Runa, Eris On the optimality of stripes in a variational model with non-local interactions. (English) Zbl 1415.49033 Calc. Var. Partial Differ. Equ. 58, No. 3, Paper No. 103, 26 p. (2019). MSC: 49S05 49N99 35B10 35A15 PDFBibTeX XMLCite \textit{M. Goldman} and \textit{E. Runa}, Calc. Var. Partial Differ. Equ. 58, No. 3, Paper No. 103, 26 p. (2019; Zbl 1415.49033) Full Text: DOI arXiv
Braun, Julian; Buze, Maciej; Ortner, Christoph The effect of crystal symmetries on the locality of screw dislocation cores. (English) Zbl 1428.35572 SIAM J. Math. Anal. 51, No. 2, 1108-1136 (2019). Reviewer: Adina Chirila (Brasov) MSC: 35Q74 49N60 70C20 74B20 74G10 74G65 74E15 PDFBibTeX XMLCite \textit{J. Braun} et al., SIAM J. Math. Anal. 51, No. 2, 1108--1136 (2019; Zbl 1428.35572) Full Text: DOI arXiv
Daneri, Sara; Runa, Eris Exact periodic stripes for minimizers of a local/nonlocal interaction functional in general dimension. (English) Zbl 1410.82005 Arch. Ration. Mech. Anal. 231, No. 1, 519-589 (2019). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 49Q99 PDFBibTeX XMLCite \textit{S. Daneri} and \textit{E. Runa}, Arch. Ration. Mech. Anal. 231, No. 1, 519--589 (2019; Zbl 1410.82005) Full Text: DOI arXiv
Conti, Sergio; Dolzmann, Georg An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. (English) Zbl 1441.74145 J. Mech. Phys. Solids 113, 126-143 (2018). MSC: 74N15 49M20 PDFBibTeX XMLCite \textit{S. Conti} and \textit{G. Dolzmann}, J. Mech. Phys. Solids 113, 126--143 (2018; Zbl 1441.74145) Full Text: DOI
Davis, Erik; Sethuraman, Sunder Consistency of modularity clustering on random geometric graphs. (English) Zbl 1402.60016 Ann. Appl. Probab. 28, No. 4, 2003-2062 (2018). MSC: 60D05 62G20 05C82 49J45 68R10 PDFBibTeX XMLCite \textit{E. Davis} and \textit{S. Sethuraman}, Ann. Appl. Probab. 28, No. 4, 2003--2062 (2018; Zbl 1402.60016) Full Text: DOI arXiv Euclid
Neukamm, Stefan; Schäffner, Mathias Quantitative homogenization in nonlinear elasticity for small loads. (English) Zbl 1401.74044 Arch. Ration. Mech. Anal. 230, No. 1, 343-396 (2018). MSC: 74B20 74Q05 49J45 PDFBibTeX XMLCite \textit{S. Neukamm} and \textit{M. Schäffner}, Arch. Ration. Mech. Anal. 230, No. 1, 343--396 (2018; Zbl 1401.74044) Full Text: DOI arXiv
Bétermin, Laurent Local variational study of 2d lattice energies and application to Lennard-Jones type interactions. (English) Zbl 1401.82008 Nonlinearity 31, No. 9, 3973-4005 (2018). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B20 35Q40 82D25 35Q82 49K20 PDFBibTeX XMLCite \textit{L. Bétermin}, Nonlinearity 31, No. 9, 3973--4005 (2018; Zbl 1401.82008) Full Text: DOI arXiv
García Trillos, Nicolás; Slepčev, Dejan A variational approach to the consistency of spectral clustering. (English) Zbl 1396.49013 Appl. Comput. Harmon. Anal. 45, No. 2, 239-281 (2018). MSC: 49J55 49J45 60D05 68R10 62G20 PDFBibTeX XMLCite \textit{N. García Trillos} and \textit{D. Slepčev}, Appl. Comput. Harmon. Anal. 45, No. 2, 239--281 (2018; Zbl 1396.49013) Full Text: DOI arXiv
Braides, Andrea; Kreutz, Leonard An integral-representation result for continuum limits of discrete energies with multibody interactions. (English) Zbl 1386.49017 SIAM J. Math. Anal. 50, No. 2, 1485-1520 (2018). MSC: 49J45 74Q99 49J27 PDFBibTeX XMLCite \textit{A. Braides} and \textit{L. Kreutz}, SIAM J. Math. Anal. 50, No. 2, 1485--1520 (2018; Zbl 1386.49017) Full Text: DOI arXiv
Bandegi, Mahdi; Shirokoff, David Approximate global minimizers to pairwise interaction problems via convex relaxation. (English) Zbl 1386.49014 SIAM J. Appl. Dyn. Syst. 17, No. 1, 417-456 (2018). MSC: 49J45 49M30 PDFBibTeX XMLCite \textit{M. Bandegi} and \textit{D. Shirokoff}, SIAM J. Appl. Dyn. Syst. 17, No. 1, 417--456 (2018; Zbl 1386.49014) Full Text: DOI arXiv
Cañizo, J. A.; Patacchini, F. S. Discrete minimisers are close to continuum minimisers for the interaction energy. (English) Zbl 1388.49030 Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 24, 35 p. (2018). Reviewer: Elvira Mascolo (Firenze) MSC: 49M25 49N60 35A15 35Q70 82B21 PDFBibTeX XMLCite \textit{J. A. Cañizo} and \textit{F. S. Patacchini}, Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 24, 35 p. (2018; Zbl 1388.49030) Full Text: DOI arXiv
Minotti, Luca; Savaré, Giuseppe Viscous corrections of the time incremental minimization scheme and visco-energetic solutions to rate-independent evolution problems. (English) Zbl 1387.74019 Arch. Ration. Mech. Anal. 227, No. 2, 477-543 (2018). MSC: 74B20 49J40 74R10 PDFBibTeX XMLCite \textit{L. Minotti} and \textit{G. Savaré}, Arch. Ration. Mech. Anal. 227, No. 2, 477--543 (2018; Zbl 1387.74019) Full Text: DOI arXiv
Davoli, Elisa; Piovano, Paolo; Stefanelli, Ulisse Sharp \(N^{3/4}\) law for the minimizers of the edge-isoperimetric problem on the triangular lattice. (English) Zbl 1383.82063 J. Nonlinear Sci. 27, No. 2, 627-660 (2017). MSC: 82D25 82B20 49Q05 PDFBibTeX XMLCite \textit{E. Davoli} et al., J. Nonlinear Sci. 27, No. 2, 627--660 (2017; Zbl 1383.82063) Full Text: DOI
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
Christowiak, Fabian; Kreisbeck, Carolin Homogenization of layered materials with rigid components in single-slip finite crystal plasticity. (English) Zbl 1375.49015 Calc. Var. Partial Differ. Equ. 56, No. 3, Paper No. 75, 28 p. (2017). MSC: 49J45 74Q05 74C15 PDFBibTeX XMLCite \textit{F. Christowiak} and \textit{C. Kreisbeck}, Calc. Var. Partial Differ. Equ. 56, No. 3, Paper No. 75, 28 p. (2017; Zbl 1375.49015) Full Text: DOI arXiv
Rossi, Riccarda; Thomas, Marita From adhesive to brittle delamination in visco-elastodynamics. (English) Zbl 1375.49019 Math. Models Methods Appl. Sci. 27, No. 8, 1489-1546 (2017). Reviewer: Alain Brillard (Riedisheim) MSC: 49J45 74R10 74M15 74H20 74C10 35Q74 49J53 PDFBibTeX XMLCite \textit{R. Rossi} and \textit{M. Thomas}, Math. Models Methods Appl. Sci. 27, No. 8, 1489--1546 (2017; Zbl 1375.49019) Full Text: DOI arXiv
Grandi, Diego; Stefanelli, Ulisse Existence and linearization for the Souza-Auricchio model at finite strains. (English) Zbl 1365.74038 Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1257-1280 (2017). MSC: 74C15 49J45 49S05 PDFBibTeX XMLCite \textit{D. Grandi} and \textit{U. Stefanelli}, Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1257--1280 (2017; Zbl 1365.74038) Full Text: DOI
Rossi, Riccarda; Thomas, Marita Coupling rate-independent and rate-dependent processes: existence results. (English) Zbl 1368.35009 SIAM J. Math. Anal. 49, No. 2, 1419-1494 (2017). MSC: 35A15 35Q74 35K85 49Q20 74C05 PDFBibTeX XMLCite \textit{R. Rossi} and \textit{M. Thomas}, SIAM J. Math. Anal. 49, No. 2, 1419--1494 (2017; Zbl 1368.35009) Full Text: DOI
Grandi, D.; Stefanelli, U. Finite plasticity in \(\boldsymbol P^\top\!\boldsymbol P\). II: Quasi-static evolution and linearization. (English) Zbl 1367.49006 SIAM J. Math. Anal. 49, No. 2, 1356-1384 (2017). MSC: 49J45 49S05 74C15 PDFBibTeX XMLCite \textit{D. Grandi} and \textit{U. Stefanelli}, SIAM J. Math. Anal. 49, No. 2, 1356--1384 (2017; Zbl 1367.49006) Full Text: DOI
Alicandro, Roberto; Lazzaroni, Giuliano; Palombaro, Mariapia On the effect of interactions beyond nearest neighbours on non-convex lattice systems. (English) Zbl 1362.74008 Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 42, 19 p. (2017). MSC: 74B20 74E15 74G65 74Q05 49J45 PDFBibTeX XMLCite \textit{R. Alicandro} et al., Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 42, 19 p. (2017; Zbl 1362.74008) Full Text: DOI Link
Schlömerkemper, Anja; Palombaro, Mariapia; Lazzaroni, Giuliano Rigidity of three-dimensional lattices and dimension reduction in heterogeneous nanowires. (English) Zbl 1353.74014 Discrete Contin. Dyn. Syst., Ser. S 10, No. 1, 119-139 (2017). MSC: 74B20 70G75 49J45 74K10 74N05 PDFBibTeX XMLCite \textit{A. Schlömerkemper} et al., Discrete Contin. Dyn. Syst., Ser. S 10, No. 1, 119--139 (2017; Zbl 1353.74014) Full Text: DOI arXiv
Knüpfer, Hans; Kružík, Martin A sharp interface evolutionary model for shape memory alloys. (English) Zbl 07775128 ZAMM, Z. Angew. Math. Mech. 96, No. 11, 1347-1355 (2016). MSC: 49Jxx 74Nxx 74Bxx PDFBibTeX XMLCite \textit{H. Knüpfer} and \textit{M. Kružík}, ZAMM, Z. Angew. Math. Mech. 96, No. 11, 1347--1355 (2016; Zbl 07775128) Full Text: DOI arXiv
Mielke, Alexander; Roubíček, Tomáš Rate-independent elastoplasticity at finite strains and its numerical approximation. (English) Zbl 1349.35371 Math. Models Methods Appl. Sci. 26, No. 12, 2203-2236 (2016). MSC: 35Q74 35K85 49S05 65M60 74A30 74C15 74M15 74S05 74B05 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{T. Roubíček}, Math. Models Methods Appl. Sci. 26, No. 12, 2203--2236 (2016; Zbl 1349.35371) Full Text: DOI
Liu, Jing; Lu, Xin Yang; Walkington, Noel J. Analysis of a dislocation model for earthquakes. (English) Zbl 1346.86006 Q. Appl. Math. 74, No. 4, 765-786 (2016). MSC: 86A17 74S05 49J45 PDFBibTeX XMLCite \textit{J. Liu} et al., Q. Appl. Math. 74, No. 4, 765--786 (2016; Zbl 1346.86006) Full Text: DOI Link
Larsson, Lisa J.; Choksi, Rustum; Nave, Jean-Christophe Geometric self-assembly of rigid shapes: a simple Voronoi approach. (English) Zbl 1382.65054 SIAM J. Appl. Math. 76, No. 3, 1101-1125 (2016). MSC: 65D18 65K10 68U05 49M15 PDFBibTeX XMLCite \textit{L. J. Larsson} et al., SIAM J. Appl. Math. 76, No. 3, 1101--1125 (2016; Zbl 1382.65054) Full Text: DOI
Carrillo, J. A.; Delgadino, M. G.; Mellet, A. Regularity of local minimizers of the interaction energy via obstacle problems. (English) Zbl 1337.49066 Commun. Math. Phys. 343, No. 3, 747-781 (2016). MSC: 49N60 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Commun. Math. Phys. 343, No. 3, 747--781 (2016; Zbl 1337.49066) Full Text: DOI arXiv
Chiricotto, Maria; Giacomelli, Lorenzo; Tomassetti, Giuseppe Dissipative scale effects in strain-gradient plasticity: the case of simple shear. (English) Zbl 1334.74019 SIAM J. Appl. Math. 76, No. 2, 688-704 (2016). MSC: 74C05 35K86 49J40 PDFBibTeX XMLCite \textit{M. Chiricotto} et al., SIAM J. Appl. Math. 76, No. 2, 688--704 (2016; Zbl 1334.74019) Full Text: DOI
Minh, Mach Nguyet BV solutions constructed using the epsilon-neighborhood method. (English) Zbl 1338.49025 ESAIM, Control Optim. Calc. Var. 22, No. 1, 188-207 (2016). MSC: 49J45 49J20 49M30 49M25 PDFBibTeX XMLCite \textit{M. N. Minh}, ESAIM, Control Optim. Calc. Var. 22, No. 1, 188--207 (2016; Zbl 1338.49025) Full Text: DOI arXiv
Roubíček, Tomáš; Valdman, Jan Perfect plasticity with damage and healing at small strains, its modeling, analysis, and computer implementation. (English) Zbl 1383.74016 SIAM J. Appl. Math. 76, No. 1, 314-340 (2016). Reviewer: Vinod K. Arya (Dallas) MSC: 74C05 35Q74 35K87 49N10 65K15 74A30 74R20 86A17 90C53 PDFBibTeX XMLCite \textit{T. Roubíček} and \textit{J. Valdman}, SIAM J. Appl. Math. 76, No. 1, 314--340 (2016; Zbl 1383.74016) Full Text: DOI arXiv
Friedrich, Manuel; Schmidt, Bernd On a discrete-to-continuum convergence result for a two dimensional brittle material in the small displacement regime. (English) Zbl 1332.74044 Netw. Heterog. Media 10, No. 2, 321-342 (2015). MSC: 74R10 49J45 70G75 PDFBibTeX XMLCite \textit{M. Friedrich} and \textit{B. Schmidt}, Netw. Heterog. Media 10, No. 2, 321--342 (2015; Zbl 1332.74044) Full Text: DOI arXiv
Brokate, Martin; Krejčí, Pavel Weak differentiability of scalar hysteresis operators. (English) Zbl 1338.47118 Discrete Contin. Dyn. Syst. 35, No. 6, 2405-2421 (2015). MSC: 47J40 34C55 49J52 PDFBibTeX XMLCite \textit{M. Brokate} and \textit{P. Krejčí}, Discrete Contin. Dyn. Syst. 35, No. 6, 2405--2421 (2015; Zbl 1338.47118) Full Text: DOI
Bourne, D. P.; Roper, S. M. Centroidal power diagrams, Lloyd’s algorithm, and applications to optimal location problems. (English) Zbl 1330.65096 SIAM J. Numer. Anal. 53, No. 6, 2545-2569 (2015). MSC: 65K10 65D99 49M05 90B85 PDFBibTeX XMLCite \textit{D. P. Bourne} and \textit{S. M. Roper}, SIAM J. Numer. Anal. 53, No. 6, 2545--2569 (2015; Zbl 1330.65096) Full Text: DOI arXiv Link
Pinski, F. J.; Simpson, G.; Stuart, A. M.; Weber, H. Kullback-Leibler approximation for probability measures on infinite dimensional spaces. (English) Zbl 1342.60049 SIAM J. Math. Anal. 47, No. 6, 4091-4122 (2015). MSC: 60F99 28C20 60G15 49K45 49K40 PDFBibTeX XMLCite \textit{F. J. Pinski} et al., SIAM J. Math. Anal. 47, No. 6, 4091--4122 (2015; Zbl 1342.60049) Full Text: DOI arXiv
Ball, J. M.; James, R. D. Incompatible sets of gradients and metastability. (English) Zbl 1343.49041 Arch. Ration. Mech. Anal. 218, No. 3, 1363-1416 (2015). Reviewer: Aygul Manapova (Ufa) MSC: 49K40 49J45 74N99 PDFBibTeX XMLCite \textit{J. M. Ball} and \textit{R. D. James}, Arch. Ration. Mech. Anal. 218, No. 3, 1363--1416 (2015; Zbl 1343.49041) Full Text: DOI arXiv
Cañizo, José A.; Carrillo, José A.; Patacchini, Francesco S. Existence of compactly supported global minimisers for the interaction energy. (English) Zbl 1317.82010 Arch. Ration. Mech. Anal. 217, No. 3, 1197-1217 (2015). MSC: 82B21 49S05 74G65 PDFBibTeX XMLCite \textit{J. A. Cañizo} et al., Arch. Ration. Mech. Anal. 217, No. 3, 1197--1217 (2015; Zbl 1317.82010) Full Text: DOI arXiv
Conti, Sergio; Dolzmann, Georg On the theory of relaxation in nonlinear elasticity with constraints on the determinant. (English) Zbl 1323.49010 Arch. Ration. Mech. Anal. 217, No. 2, 413-437 (2015). Reviewer: Igor Bock (Bratislava) MSC: 49J45 74B20 PDFBibTeX XMLCite \textit{S. Conti} and \textit{G. Dolzmann}, Arch. Ration. Mech. Anal. 217, No. 2, 413--437 (2015; Zbl 1323.49010) Full Text: DOI arXiv
Simione, Robert; Slepčev, Dejan; Topaloglu, Ihsan Existence of ground states of nonlocal-interaction energies. (English) Zbl 1328.82016 J. Stat. Phys. 159, No. 4, 972-986 (2015). MSC: 82B21 49J45 82B05 35R09 45K05 PDFBibTeX XMLCite \textit{R. Simione} et al., J. Stat. Phys. 159, No. 4, 972--986 (2015; Zbl 1328.82016) 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
Rossi, Riccarda; Thomas, Marita From an adhesive to a brittle delamination model in thermo-visco-elasticity. (English) Zbl 1323.35101 ESAIM, Control Optim. Calc. Var. 21, No. 1, 1-59 (2015). Reviewer: Igor Bock (Bratislava) MSC: 35K85 47J20 49J45 49S05 74F05 74R10 PDFBibTeX XMLCite \textit{R. Rossi} and \textit{M. Thomas}, ESAIM, Control Optim. Calc. Var. 21, No. 1, 1--59 (2015; Zbl 1323.35101) Full Text: DOI Link
Grandi, Diego; Stefanelli, Ulisse The Souza-Auricchio model for shape-memory alloys. (English) Zbl 1302.74026 Discrete Contin. Dyn. Syst., Ser. S 8, No. 4, 723-747 (2015). MSC: 74C05 35Q74 49J40 80A17 74F15 PDFBibTeX XMLCite \textit{D. Grandi} and \textit{U. Stefanelli}, Discrete Contin. Dyn. Syst., Ser. S 8, No. 4, 723--747 (2015; Zbl 1302.74026) Full Text: DOI
Roubíček, Tomáš Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problems. (English) Zbl 1304.35377 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, Part A, 33-50 (2015). MSC: 35K86 35M86 35Q74 49S05 65M12 74R20 74S30 35D30 PDFBibTeX XMLCite \textit{T. Roubíček}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, 33--50 (2015; Zbl 1304.35377) Full Text: DOI
Carrillo, José Antonio; Chipot, Michel; Huang, Yanghong On global minimizers of repulsive-attractive power-law interaction energies. (English) Zbl 1353.49002 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 372, No. 2028, Article ID 20130399, 13 p. (2014). MSC: 49J10 35Q92 35Q35 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 372, No. 2028, Article ID 20130399, 13 p. (2014; Zbl 1353.49002) Full Text: DOI arXiv
Eleuteri, Michela; Lussardi, Luca Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials. (English) Zbl 1310.74012 Evol. Equ. Control Theory 3, No. 3, 411-427 (2014). MSC: 74C05 49J20 PDFBibTeX XMLCite \textit{M. Eleuteri} and \textit{L. Lussardi}, Evol. Equ. Control Theory 3, No. 3, 411--427 (2014; Zbl 1310.74012) Full Text: DOI
Conti, Sergio; Dolzmann, Georg Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions. (English) Zbl 1304.49027 Math. Models Methods Appl. Sci. 24, No. 14, 2929-2942 (2014). MSC: 49J45 74B20 PDFBibTeX XMLCite \textit{S. Conti} and \textit{G. Dolzmann}, Math. Models Methods Appl. Sci. 24, No. 14, 2929--2942 (2014; Zbl 1304.49027) Full Text: DOI arXiv
Minh, Mach Nguyet Regularity of weak solutions to rate-independent systems in one-dimension. (English) Zbl 1301.49100 Math. Nachr. 287, No. 11-12, 1341-1362 (2014). MSC: 49N60 PDFBibTeX XMLCite \textit{M. N. Minh}, Math. Nachr. 287, No. 11--12, 1341--1362 (2014; Zbl 1301.49100) Full Text: DOI arXiv Link
Negri, M.; Zanini, C. From finite to linear elastic fracture mechanics by scaling. (English) Zbl 1297.49084 Calc. Var. Partial Differ. Equ. 50, No. 3-4, 525-548 (2014). Reviewer: Alain Brillard (Riedisheim) MSC: 49S05 49J45 74A45 PDFBibTeX XMLCite \textit{M. Negri} and \textit{C. Zanini}, Calc. Var. Partial Differ. Equ. 50, No. 3--4, 525--548 (2014; Zbl 1297.49084) Full Text: DOI Link
Alicandro, Roberto; Ansini, Nadia A variational model of interaction between continuum and discrete systems. (English) Zbl 1293.49028 Math. Models Methods Appl. Sci. 24, No. 10, 1957-2008 (2014). MSC: 49J45 74B20 74Q99 82B20 PDFBibTeX XMLCite \textit{R. Alicandro} and \textit{N. Ansini}, Math. Models Methods Appl. Sci. 24, No. 10, 1957--2008 (2014; Zbl 1293.49028) Full Text: DOI
Forclaz, Alain Local minimizers and the Schmid law in corner-shaped domains. (English) Zbl 1440.74264 Arch. Ration. Mech. Anal. 211, No. 2, 555-591 (2014). MSC: 74N05 74N30 74G65 49J40 PDFBibTeX XMLCite \textit{A. Forclaz}, Arch. Ration. Mech. Anal. 211, No. 2, 555--591 (2014; Zbl 1440.74264) Full Text: DOI
Goldman, Dorian; Muratov, Cyrill B.; Serfaty, Sylvia The \(\varGamma\)-limit of the two-dimensional Ohta-Kawasaki energy. I: Droplet density. (English) Zbl 1296.82018 Arch. Ration. Mech. Anal. 210, No. 2, 581-613 (2013). MSC: 82B21 35Q82 35Q56 35R09 82D60 49S05 PDFBibTeX XMLCite \textit{D. Goldman} et al., Arch. Ration. Mech. Anal. 210, No. 2, 581--613 (2013; Zbl 1296.82018) Full Text: DOI arXiv
Freddi, Lorenzo; Roubíček, Tomáš; Zanini, Chiara Quasistatic delamination of sandwich-like Kirchhoff-Love plates. (English) Zbl 1275.49019 J. Elasticity 113, No. 2, 219-250 (2013). MSC: 49J45 49S05 74K20 74R10 PDFBibTeX XMLCite \textit{L. Freddi} et al., J. Elasticity 113, No. 2, 219--250 (2013; Zbl 1275.49019) Full Text: DOI
Peletier, Mark A.; Renger, D. R. Michiel; Veneroni, Marco Variational formulation of the Fokker-Planck equation with decay: a particle approach. (English) Zbl 1280.35156 Commun. Contemp. Math. 15, No. 5, Article ID 1350017, 43 p. (2013). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q84 60F10 49K20 49S05 82C31 PDFBibTeX XMLCite \textit{M. A. Peletier} et al., Commun. Contemp. Math. 15, No. 5, Article ID 1350017, 43 p. (2013; Zbl 1280.35156) Full Text: DOI arXiv
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin Relaxation of a model in finite plasticity with two slip systems. (English) Zbl 1281.49006 Math. Models Methods Appl. Sci. 23, No. 11, 2111-2128 (2013). Reviewer: Marco Codegone (Torino) MSC: 49J45 74C15 PDFBibTeX XMLCite \textit{S. Conti} et al., Math. Models Methods Appl. Sci. 23, No. 11, 2111--2128 (2013; Zbl 1281.49006) Full Text: DOI
Buttà, P.; Esposito, R.; Giuliani, A.; Marra, R. Froth-like minimizers of a non-local free energy functional with competing interactions. (English) Zbl 1277.82065 Commun. Math. Phys. 322, No. 2, 593-632 (2013). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 82D40 49J10 PDFBibTeX XMLCite \textit{P. Buttà} et al., Commun. Math. Phys. 322, No. 2, 593--632 (2013; Zbl 1277.82065) Full Text: DOI arXiv
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
Benešová, B.; Kružík, M.; Roubíček, T. Thermodynamically consistent mesoscopic model of the ferro/paramagnetic transition. (English) Zbl 1261.35083 Z. Angew. Math. Phys. 64, No. 1, 1-28 (2013). MSC: 35K85 35Q60 49S05 78A30 78M30 80A17 PDFBibTeX XMLCite \textit{B. Benešová} et al., Z. Angew. Math. Phys. 64, No. 1, 1--28 (2013; Zbl 1261.35083) Full Text: DOI arXiv
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe Nonsmooth analysis of doubly nonlinear evolution equations. (English) Zbl 1270.35289 Calc. Var. Partial Differ. Equ. 46, No. 1-2, 253-310 (2013). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35K86 35A15 49Q20 35K51 47J35 PDFBibTeX XMLCite \textit{A. Mielke} et al., Calc. Var. Partial Differ. Equ. 46, No. 1--2, 253--310 (2013; Zbl 1270.35289) Full Text: DOI arXiv
Hackl, Klaus; Hoppe, Ulrich; Kochmann, Dennis M. Generation and evolution of inelastic microstructures – an overview. (English) Zbl 1255.74011 GAMM-Mitt. 35, No. 1, 91-106 (2012). MSC: 74C15 49S05 74M25 PDFBibTeX XMLCite \textit{K. Hackl} et al., GAMM-Mitt. 35, No. 1, 91--106 (2012; Zbl 1255.74011) Full Text: DOI
Paoli, Laetitia; Petrov, Adrien Thermodynamics of multiphase problems in viscoelasticity. (English) Zbl 1255.74012 GAMM-Mitt. 35, No. 1, 75-90 (2012). MSC: 74C15 49S05 PDFBibTeX XMLCite \textit{L. Paoli} and \textit{A. Petrov}, GAMM-Mitt. 35, No. 1, 75--90 (2012; Zbl 1255.74012) Full Text: DOI
Liero, Matthias; Roche, Thomas Rigorous derivation of a plate theory in linear elastoplasticity via \(\Gamma\)-convergence. (English) Zbl 1253.35180 NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 4, 437-457 (2012). MSC: 35Q74 49J45 74C05 74K20 PDFBibTeX XMLCite \textit{M. Liero} and \textit{T. Roche}, NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 4, 437--457 (2012; Zbl 1253.35180) Full Text: DOI
Choksi, Rustum On global minimizers for a variational problem with long-range interactions. (English) Zbl 1246.49042 Q. Appl. Math. 70, No. 3, 517-537 (2012). MSC: 49S05 49M30 35K30 35K55 74N15 PDFBibTeX XMLCite \textit{R. Choksi}, Q. Appl. Math. 70, No. 3, 517--537 (2012; Zbl 1246.49042) Full Text: DOI