Mielke, Alexander; Reichelt, Sina Traveling fronts in a reaction-diffusion equation with a memory term. (English) Zbl 07818501 J. Dyn. Differ. Equations 36, No. 1, Suppl., S487-S513 (2024). MSC: 35-XX 45-XX PDFBibTeX XMLCite \textit{A. Mielke} and \textit{S. Reichelt}, J. Dyn. Differ. Equations 36, No. 1, S487--S513 (2024; Zbl 07818501) Full Text: DOI arXiv OA License
Mielke, Alexander Non-equilibrium steady states as saddle points and EDP-convergence for slow-fast gradient systems. (English) Zbl 07783349 J. Math. Phys. 64, No. 12, Article ID 123502, 27 p. (2023). MSC: 82C35 82C31 PDFBibTeX XMLCite \textit{A. Mielke}, J. Math. Phys. 64, No. 12, Article ID 123502, 27 p. (2023; Zbl 07783349) Full Text: DOI arXiv
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe Fine properties of geodesics and geodesic \(\lambda\)-convexity for the Hellinger-Kantorovich distance. (English) Zbl 07782709 Arch. Ration. Mech. Anal. 247, No. 6, Paper No. 112, 73 p. (2023). Reviewer: Vyacheslav I. Maksimov (Yekaterinburg) MSC: 53C22 49L12 PDFBibTeX XMLCite \textit{M. Liero} et al., Arch. Ration. Mech. Anal. 247, No. 6, Paper No. 112, 73 p. (2023; Zbl 07782709) Full Text: DOI arXiv OA License
Mielke, Alexander; Rossi, Riccarda Balanced-viscosity solutions to infinite-dimensional multi-rate systems. (English) Zbl 1514.35107 Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 53, 100 p. (2023). MSC: 35D40 35A15 37B35 47J22 35Q74 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{R. Rossi}, Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 53, 100 p. (2023; Zbl 1514.35107) Full Text: DOI arXiv
Mielke, Alexander On two coupled degenerate parabolic equations motivated by thermodynamics. (English) Zbl 1512.35393 J. Nonlinear Sci. 33, No. 3, Paper No. 42, 55 p. (2023). MSC: 35K65 35K51 35K59 49S05 80M30 PDFBibTeX XMLCite \textit{A. Mielke}, J. Nonlinear Sci. 33, No. 3, Paper No. 42, 55 p. (2023; Zbl 1512.35393) Full Text: DOI arXiv
Mielke, Alexander; Rossi, Riccarda; Stephan, Artur On time-splitting methods for gradient flows with two dissipation mechanisms. arXiv:2307.16137 Preprint, arXiv:2307.16137 [math.AP] (2023). BibTeX Cite \textit{A. Mielke} et al., ``On time-splitting methods for gradient flows with two dissipation mechanisms'', Preprint, arXiv:2307.16137 [math.AP] (2023) Full Text: arXiv OA License
Mielke, Alexander An introduction to the analysis of gradients systems. arXiv:2306.05026 Preprint, arXiv:2306.05026 [math-ph] (2023). BibTeX Cite \textit{A. Mielke}, ``An introduction to the analysis of gradients systems'', Preprint, arXiv:2306.05026 [math-ph] (2023) Full Text: arXiv OA License
Mielke, Alexander; Roubicek, Tomas; Stefanelli, Ulisse A model of gravitational differentiation of compressible self-gravitating planets. arXiv:2305.06232 Preprint, arXiv:2305.06232 [math.AP] (2023). MSC: 35Q49 35Q74 65M60 74A30 74L10 76N06 76T30 86A17 BibTeX Cite \textit{A. Mielke} et al., ``A model of gravitational differentiation of compressible self-gravitating planets'', Preprint, arXiv:2305.06232 [math.AP] (2023) Full Text: arXiv OA License
Mielke, Alexander; Schindler, Stefanie Convergence to self-similar profiles in reaction-diffusion systems. arXiv:2303.01364 Preprint, arXiv:2303.01364 [math.AP] (2023). MSC: 35K57 35C06 35B45 BibTeX Cite \textit{A. Mielke} and \textit{S. Schindler}, ``Convergence to self-similar profiles in reaction-diffusion systems'', Preprint, arXiv:2303.01364 [math.AP] (2023) Full Text: arXiv OA License
Mielke, Alexander; Schindler, Stefanie Self-Similar Pattern in Coupled Parabolic Systems as Non-Equilibrium Steady States. arXiv:2302.00393 Preprint, arXiv:2302.00393 [math.AP] (2023). BibTeX Cite \textit{A. Mielke} and \textit{S. Schindler}, ``Self-Similar Pattern in Coupled Parabolic Systems as Non-Equilibrium Steady States'', Preprint, arXiv:2302.00393 [math.AP] (2023) Full Text: arXiv OA License
Mielke, Alexander; Schindler, Stefanie Existence of similarity profiles for diffusion equations and systems. arXiv:2301.10360 Preprint, arXiv:2301.10360 [math.AP] (2023). MSC: 35C06 35K40 35K57 35K65 80M30 BibTeX Cite \textit{A. Mielke} and \textit{S. Schindler}, ``Existence of similarity profiles for diffusion equations and systems'', Preprint, arXiv:2301.10360 [math.AP] (2023) Full Text: arXiv OA License
Mielke, Alexander; Naumann, Joachim On the existence of global-in-time weak solutions and scaling laws for Kolmogorov’s two-equation model for turbulence. (English) Zbl 07815610 ZAMM, Z. Angew. Math. Mech. 102, No. 9, Article ID e202000019, 31 p. (2022). MSC: 76F10 35Q30 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{J. Naumann}, ZAMM, Z. Angew. Math. Mech. 102, No. 9, Article ID e202000019, 31 p. (2022; Zbl 07815610) Full Text: DOI OA License
Mielke, Alexander Relating a rate-independent system and a gradient system for the case of one-homogeneous potentials. (English) Zbl 1509.37108 J. Dyn. Differ. Equations 34, No. 4, 3143-3164 (2022). Reviewer: Panagiotis Koumantos (Athína) MSC: 37L05 47H20 47J35 47J40 PDFBibTeX XMLCite \textit{A. Mielke}, J. Dyn. Differ. Equations 34, No. 4, 3143--3164 (2022; Zbl 1509.37108) Full Text: DOI arXiv
Eiter, Thomas; Hopf, Katharina; Mielke, Alexander Leray-Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress-strain relation. (English) Zbl 1481.35310 Nonlinear Anal., Real World Appl. 65, Article ID 103491, 30 p. (2022). MSC: 35Q30 76D05 76A10 35Q35 76D03 PDFBibTeX XMLCite \textit{T. Eiter} et al., Nonlinear Anal., Real World Appl. 65, Article ID 103491, 30 p. (2022; Zbl 1481.35310) Full Text: DOI arXiv
Fischer, Julian; Hopf, Katharina; Kniely, Michael; Mielke, Alexander Global existence analysis of energy-reaction-diffusion systems. (English) Zbl 1483.35262 SIAM J. Math. Anal. 54, No. 1, 220-267 (2022). MSC: 35Q79 35K51 35K57 35D30 35B45 35B65 35A01 80A19 82C35 PDFBibTeX XMLCite \textit{J. Fischer} et al., SIAM J. Math. Anal. 54, No. 1, 220--267 (2022; Zbl 1483.35262) Full Text: DOI arXiv
Bazaes, Rodrigo; Mielke, Alexander; Mukherjee, Chiranjib Stochastic homogenization for Hamilton-Jacobi-Bellman equations on continuum percolation clusters. arXiv:2208.07269 Preprint, arXiv:2208.07269 [math.AP] (2022). BibTeX Cite \textit{R. Bazaes} et al., ``Stochastic homogenization for Hamilton-Jacobi-Bellman equations on continuum percolation clusters'', Preprint, arXiv:2208.07269 [math.AP] (2022) Full Text: arXiv OA License
Mielke, Alexander; Roubíček, Tomáš Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults. arXiv:2207.11074 Preprint, arXiv:2207.11074 [math.AP] (2022). MSC: 35Q74 35Q86 74-10 74A55 74C10 74R20 86A15 BibTeX Cite \textit{A. Mielke} and \textit{T. Roubíček}, ``Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults'', Preprint, arXiv:2207.11074 [math.AP] (2022) Full Text: arXiv OA License
Laschos, Vaios; Mielke, Alexander Evolutionary Variational Inequalities on the Hellinger-Kantorovich and Spherical Hellinger-Kantorovich spaces. arXiv:2207.09815 Preprint, arXiv:2207.09815 [math.AP] (2022). MSC: 35A23 BibTeX Cite \textit{V. Laschos} and \textit{A. Mielke}, ``Evolutionary Variational Inequalities on the Hellinger-Kantorovich and Spherical Hellinger-Kantorovich spaces'', Preprint, arXiv:2207.09815 [math.AP] (2022) Full Text: arXiv OA License
Mielke, Alexander; Montefusco, Alberto; Peletier, Mark A. Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence. (English) Zbl 1521.37090 Contin. Mech. Thermodyn. 33, No. 3, 611-637 (2021). MSC: 37L05 PDFBibTeX XMLCite \textit{A. Mielke} et al., Contin. Mech. Thermodyn. 33, No. 3, 611--637 (2021; Zbl 1521.37090) Full Text: DOI arXiv
Abels, Helmut (ed.); Disser, Karoline (ed.); Kaiser, Hans-Christoph (ed.); Mielke, Alexander (ed.); Thomas, Marita (ed.) Preface. (English) Zbl 1476.00085 Discrete Contin. Dyn. Syst., Ser. S 14, No. 11, i-iii (2021). MSC: 00B25 35-06 74-06 76-06 PDFBibTeX XMLCite \textit{H. Abels} (ed.) et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 11, i-iii (2021; Zbl 1476.00085) Full Text: DOI
Mielke, Alexander; Netz, Roland R.; Zendehroud, Sina A rigorous derivation and energetics of a wave equation with fractional damping. (English) Zbl 1483.35165 J. Evol. Equ. 21, No. 3, 3079-3102 (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q74 74F10 74J15 74K15 35B40 35A01 26A33 35R11 PDFBibTeX XMLCite \textit{A. Mielke} et al., J. Evol. Equ. 21, No. 3, 3079--3102 (2021; Zbl 1483.35165) Full Text: DOI arXiv
Koprucki, Thomas; Maltsi, Anieza; Mielke, Alexander On the Darwin-Howie-Whelan equations for the scattering of fast electrons described by the Schrödinger equation. (English) Zbl 1473.35133 SIAM J. Appl. Math. 81, No. 4, 1552-1578 (2021). MSC: 35J10 74J20 PDFBibTeX XMLCite \textit{T. Koprucki} et al., SIAM J. Appl. Math. 81, No. 4, 1552--1578 (2021; Zbl 1473.35133) Full Text: DOI arXiv
Mielke, Alexander; Peletier, Mark A.; Stephan, Artur EDP-convergence for nonlinear fast-slow reaction systems with detailed balance. (English) Zbl 1475.35183 Nonlinearity 34, No. 8, 5762-5798 (2021). MSC: 35K57 35B25 47J30 92E20 34E13 PDFBibTeX XMLCite \textit{A. Mielke} et al., Nonlinearity 34, No. 8, 5762--5798 (2021; Zbl 1475.35183) Full Text: DOI arXiv
Mielke, Alexander (ed.); Peletier, Mark A. (ed.); Slepčev, Dejan (ed.) Variational methods for evolution. Abstracts from the workshop held September 6–12, 2020 (hybrid meeting). (English) Zbl 1469.00035 Oberwolfach Rep. 17, No. 2-3, 1391-1467 (2020). MSC: 00B05 00B25 49-06 35-06 70-06 58E30 60F10 82C05 PDFBibTeX XMLCite \textit{A. Mielke} (ed.) et al., Oberwolfach Rep. 17, No. 2--3, 1391--1467 (2020; Zbl 1469.00035) Full Text: DOI
Maas, Jan; Mielke, Alexander Modeling of chemical reaction systems with detailed balance using gradient structures. (English) Zbl 1462.80011 J. Stat. Phys. 181, No. 6, 2257-2303 (2020). MSC: 80A32 49J45 60J27 82C31 PDFBibTeX XMLCite \textit{J. Maas} and \textit{A. Mielke}, J. Stat. Phys. 181, No. 6, 2257--2303 (2020; Zbl 1462.80011) Full Text: DOI arXiv
Mielke, Alexander; Stephan, Artur Coarse-graining via EDP-convergence for linear fast-slow reaction systems. (English) Zbl 1454.60113 Math. Models Methods Appl. Sci. 30, No. 9, 1765-1807 (2020). MSC: 60J20 47D07 47J30 92E20 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{A. Stephan}, Math. Models Methods Appl. Sci. 30, No. 9, 1765--1807 (2020; Zbl 1454.60113) Full Text: DOI arXiv
Mielke, Alexander; Roubíček, Tomáš Thermoviscoelasticity in Kelvin-Voigt rheology at large strains. (English) Zbl 1444.74012 Arch. Ration. Mech. Anal. 238, No. 1, 1-45 (2020). MSC: 74D10 74F05 74H20 35Q74 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{T. Roubíček}, Arch. Ration. Mech. Anal. 238, No. 1, 1--45 (2020; Zbl 1444.74012) Full Text: DOI arXiv
Gussmann, Pascal; Mielke, Alexander Linearized elasticity as Mosco limit of finite elasticity in the presence of cracks. (English) Zbl 1431.49013 Adv. Calc. Var. 13, No. 1, 33-52 (2020). MSC: 49J45 74M15 35J86 49J40 74B20 49S05 35Q74 PDFBibTeX XMLCite \textit{P. Gussmann} and \textit{A. Mielke}, Adv. Calc. Var. 13, No. 1, 33--52 (2020; Zbl 1431.49013) Full Text: DOI
Kantner, Markus; Mielke, Alexander; Mittnenzweig, Markus; Rotundo, Nella Mathematical modeling of semiconductors: from quantum mechanics to devices. (English) Zbl 1447.35324 Hintermüller, Michael (ed.) et al., Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Cham: Springer. CIM Ser. Math. Sci, 269-293 (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q81 82D37 78A35 78A30 82C35 82C10 35Q82 PDFBibTeX XMLCite \textit{M. Kantner} et al., in: Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO'17, Lisbon, Portugal, December 6--8, 2017. Cham: Springer. 269--293 (2019; Zbl 1447.35324) 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
Bacho, Aras; Emmrich, Etienne; Mielke, Alexander An existence result and evolutionary \(\varGamma \)-convergence for perturbed gradient systems. (English) Zbl 1420.35029 J. Evol. Equ. 19, No. 2, 479-522 (2019). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35A15 35K85 49Q20 35K57 35D35 PDFBibTeX XMLCite \textit{A. Bacho} et al., J. Evol. Equ. 19, No. 2, 479--522 (2019; Zbl 1420.35029) Full Text: DOI arXiv
Laschos, Vaios; Mielke, Alexander Geometric properties of cones with applications on the Hellinger-Kantorovich space, and a new distance on the space of probability measures. (English) Zbl 1422.60009 J. Funct. Anal. 276, No. 11, 3529-3576 (2019). MSC: 60B05 28A33 46E30 PDFBibTeX XMLCite \textit{V. Laschos} and \textit{A. Mielke}, J. Funct. Anal. 276, No. 11, 3529--3576 (2019; Zbl 1422.60009) Full Text: DOI arXiv
Mielke, Alexander Three examples concerning the interaction of dry friction and oscillations. (English) Zbl 1407.49013 Rocca, Elisabetta (ed.) et al., Trends in applications of mathematics to mechanics. Proceedings of the INDAM symposium, STAMM, Rome, Italy, September 5–9, 2016. Cham: Springer. Springer INdAM Ser. 27, 159-177 (2018). MSC: 49J40 74M10 35B32 PDFBibTeX XMLCite \textit{A. Mielke}, Springer INdAM Ser. 27, 159--177 (2018; Zbl 1407.49013) Full Text: DOI
Burylko, Oleksandr; Mielke, Alexander; Wolfrum, Matthias; Yanchuk, Serhiy Coexistence of Hamiltonian-like and dissipative dynamics in rings of coupled phase oscillators with skew-symmetric coupling. (English) Zbl 1401.34040 SIAM J. Appl. Dyn. Syst. 17, No. 3, 2076-2105 (2018). Reviewer: Carlo Laing (Auckland) MSC: 34C15 34C14 34C28 34C23 PDFBibTeX XMLCite \textit{O. Burylko} et al., SIAM J. Appl. Dyn. Syst. 17, No. 3, 2076--2105 (2018; Zbl 1401.34040) Full Text: DOI
Becker, Maximilian; Frenzel, Thomas; Niedermayer, Thomas; Reichelt, Sina; Mielke, Alexander; Bär, Markus Local control of globally competing patterns in coupled Swift-Hohenberg equations. (English) Zbl 1394.35035 Chaos 28, No. 4, 043121, 11 p. (2018). MSC: 35B36 35K40 35Q56 PDFBibTeX XMLCite \textit{M. Becker} et al., Chaos 28, No. 4, 043121, 11 p. (2018; Zbl 1394.35035) Full Text: DOI
Mielke, Alexander; Mittnenzweig, Markus Convergence to equilibrium in energy-reaction-diffusion systems using vector-valued functional inequalities. (English) Zbl 1390.35156 J. Nonlinear Sci. 28, No. 2, 765-806 (2018). MSC: 35K57 35B40 35Q79 92E20 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{M. Mittnenzweig}, J. Nonlinear Sci. 28, No. 2, 765--806 (2018; Zbl 1390.35156) Full Text: DOI
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures. (English) Zbl 1412.49089 Invent. Math. 211, No. 3, 969-1117 (2018). Reviewer: Doina Carp (Constanta) MSC: 49Q20 90B06 PDFBibTeX XMLCite \textit{M. Liero} et al., Invent. Math. 211, No. 3, 969--1117 (2018; Zbl 1412.49089) Full Text: DOI arXiv Backlinks: MO
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe Global existence results for viscoplasticity at finite strain. (English) Zbl 1387.35574 Arch. Ration. Mech. Anal. 227, No. 1, 423-475 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q74 74D10 35A01 PDFBibTeX XMLCite \textit{A. Mielke} et al., Arch. Ration. Mech. Anal. 227, No. 1, 423--475 (2018; Zbl 1387.35574) Full Text: DOI arXiv
Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander Decay to equilibrium for energy-reaction-diffusion systems. (English) Zbl 1387.35352 SIAM J. Math. Anal. 50, No. 1, 1037-1075 (2018). MSC: 35K57 35B40 35Q79 PDFBibTeX XMLCite \textit{J. Haskovec} et al., SIAM J. Math. Anal. 50, No. 1, 1037--1075 (2018; Zbl 1387.35352) Full Text: DOI arXiv
Mielke, Alexander; Naumann, Joachim On the existence of global-in-time weak solutions and scaling laws for Kolmogorov’s two-equation model of turbulence. arXiv:1801.02039 Preprint, arXiv:1801.02039 [math.AP] (2018). MSC: 35Q30 35Q35 76F60 BibTeX Cite \textit{A. Mielke} and \textit{J. Naumann}, ``On the existence of global-in-time weak solutions and scaling laws for Kolmogorov's two-equation model of turbulence'', Preprint, arXiv:1801.02039 [math.AP] (2018) Full Text: arXiv OA License
Mielke, Alexander (ed.); Peletier, Mark (ed.); Slepcev, Dejan (ed.) Variational methods for evolution. Abstracts from the workshop held November 12–18, 2017. (English) Zbl 1409.00100 Oberwolfach Rep. 14, No. 4, 3185-3261 (2017). MSC: 00B05 00B25 49-06 35-06 70-06 58E30 60F10 82C05 49Jxx PDFBibTeX XMLCite \textit{A. Mielke} (ed.) et al., Oberwolfach Rep. 14, No. 4, 3185--3261 (2017; Zbl 1409.00100) Full Text: DOI
Mielke, Alexander; Patz, Carsten Uniform asymptotic expansions for the fundamental solution of infinite harmonic chains. (English) Zbl 1386.37074 Z. Anal. Anwend. 36, No. 4, 437-475 (2017). Reviewer: Luen-Chau Li (University Park) MSC: 37K60 41A60 42B20 34A33 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{C. Patz}, Z. Anal. Anwend. 36, No. 4, 437--475 (2017; Zbl 1386.37074) Full Text: DOI
Mittnenzweig, Markus; Mielke, Alexander An entropic gradient structure for Lindblad equations and couplings of quantum systems to macroscopic models. (English) Zbl 1376.82046 J. Stat. Phys. 167, No. 2, 205-233 (2017). MSC: 82C10 60K35 35Q82 47D07 PDFBibTeX XMLCite \textit{M. Mittnenzweig} and \textit{A. Mielke}, J. Stat. Phys. 167, No. 2, 205--233 (2017; Zbl 1376.82046) Full Text: DOI arXiv
Mielke, Alexander; Patterson, Robert I. A.; Peletier, Mark A.; Renger, D. R. Michiel Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics. (English) Zbl 1370.80001 SIAM J. Appl. Math. 77, No. 4, 1562-1585 (2017). MSC: 80A30 82C35 60F10 PDFBibTeX XMLCite \textit{A. Mielke} et al., SIAM J. Appl. Math. 77, No. 4, 1562--1585 (2017; Zbl 1370.80001) Full Text: DOI
Heida, Martin; Mielke, Alexander Averaging of time-periodic dissipation potentials in rate-independent processes. (English) Zbl 1426.34075 Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1303-1327 (2017). MSC: 34G25 34C55 47J20 74N30 PDFBibTeX XMLCite \textit{M. Heida} and \textit{A. Mielke}, Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1303--1327 (2017; Zbl 1426.34075) Full Text: DOI
Kaiser, Hans-Christoph (ed.); Knees, Dorothee (ed.); Mielke, Alexander (ed.); Rehberg, Joachim (ed.); Rocca, Elisabetta (ed.); Thomas, Marita (ed.); Valdinoci, Enrico (ed.) Preface. (English) Zbl 1365.00035 Discrete Contin. Dyn. Syst., Ser. S 10, No. 4, i-iv (2017). MSC: 00B15 00B25 35-06 PDFBibTeX XMLCite \textit{H.-C. Kaiser} (ed.) et al., Discrete Contin. Dyn. Syst., Ser. S 10, No. 4, i-iv (2017; Zbl 1365.00035) Full Text: DOI
Liero, Matthias; Mielke, Alexander; Peletier, Mark; Renger, D. R. Michiel On microscopic origins of generalized gradient structures. (English) Zbl 1515.35127 Discrete Contin. Dyn. Syst., Ser. S 10, No. 1, 1-35 (2017). MSC: 35K55 35Q82 49S05 49J40 49J45 60F10 60J25 PDFBibTeX XMLCite \textit{M. Liero} et al., Discrete Contin. Dyn. Syst., Ser. S 10, No. 1, 1--35 (2017; Zbl 1515.35127) Full Text: DOI arXiv
Heinz, Sebastian; Mielke, Alexander Existence, numerical convergence and evolutionary relaxation for a rate-independent phase-transformation model. (English) Zbl 1353.82054 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 374, No. 2066, Article ID 20150171, 23 p. (2016). MSC: 82C26 PDFBibTeX XMLCite \textit{S. Heinz} and \textit{A. Mielke}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 374, No. 2066, Article ID 20150171, 23 p. (2016; Zbl 1353.82054) Full Text: DOI
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
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe Balanced-viscosity solutions for multi-rate systems. (English) Zbl 1465.70060 J. Phys., Conf. Ser. 727, 26 p. (2016). MSC: 70G75 34A60 PDFBibTeX XMLCite \textit{A. Mielke} et al., J. Phys., Conf. Ser. 727, 26 p. (2016; Zbl 1465.70060) Full Text: DOI arXiv
Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. (English) Zbl 1347.49078 SIAM J. Math. Anal. 48, No. 4, 2869-2911 (2016). MSC: 49Q20 49K21 58E30 35K57 28A33 46E27 PDFBibTeX XMLCite \textit{M. Liero} et al., SIAM J. Math. Anal. 48, No. 4, 2869--2911 (2016; Zbl 1347.49078) Full Text: DOI arXiv
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems. (English) Zbl 1357.35007 J. Eur. Math. Soc. (JEMS) 18, No. 9, 2107-2165 (2016). MSC: 35A15 34A60 35D40 PDFBibTeX XMLCite \textit{A. Mielke} et al., J. Eur. Math. Soc. (JEMS) 18, No. 9, 2107--2165 (2016; Zbl 1357.35007) Full Text: DOI arXiv
Mielke, A. On thermodynamical couplings of quantum mechanics and macroscopic systems. (English) Zbl 1339.81060 Exner, Pavel (ed.) et al., Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10–13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4618-13-7/hbk; 978-981-4618-15-1/ebook). 331-348 (2015). MSC: 81S22 37N20 47N50 80A99 81V70 78A35 PDFBibTeX XMLCite \textit{A. Mielke}, in: Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10--13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific. 331--348 (2015; Zbl 1339.81060) Full Text: DOI
Mielke, Alexander; Haskovec, Jan; Markowich, Peter A. On uniform decay of the entropy for reaction-diffusion systems. (English) Zbl 1338.35245 J. Dyn. Differ. Equations 27, No. 3-4, 897-928 (2015). MSC: 35K57 35B40 92E20 PDFBibTeX XMLCite \textit{A. Mielke} et al., J. Dyn. Differ. Equations 27, No. 3--4, 897--928 (2015; Zbl 1338.35245) Full Text: DOI
Mielke, Alexander; Raugel, Geneviéve; Scheurle, Jürgen In memoriam: Klaus Kirchgässner. (English) Zbl 1336.01023 J. Dyn. Differ. Equations 27, No. 3-4, 335-342 (2015). MSC: 01A70 PDFBibTeX XMLCite \textit{A. Mielke} et al., J. Dyn. Differ. Equations 27, No. 3--4, 335--342 (2015; Zbl 1336.01023) Full Text: DOI
Mielke, Alexander Deriving amplitude equations via evolutionary \(\Gamma\)-convergence. (English) Zbl 1332.35347 Discrete Contin. Dyn. Syst. 35, No. 6, 2679-2700 (2015). MSC: 35Q56 35K55 76E30 47H20 PDFBibTeX XMLCite \textit{A. Mielke}, Discrete Contin. Dyn. Syst. 35, No. 6, 2679--2700 (2015; Zbl 1332.35347) Full Text: DOI
Mielke, Alexander Variational approaches and methods for dissipative material models with multiple scales. (English) Zbl 1365.74087 Conti, Sergio (ed.) et al., Analysis and computation of microstructure in finite plasticity. Cham: Springer (ISBN 978-3-319-18241-4/hbk; 978-3-319-18242-1/ebook). Lecture Notes in Applied and Computational Mechanics 78, 125-155 (2015). MSC: 74G65 74C15 PDFBibTeX XMLCite \textit{A. Mielke}, Lect. Notes Appl. Comput. Mech. 78, 125--155 (2015; Zbl 1365.74087) Full Text: DOI
Dreyer, Wolfgang; Huth, Robert; Mielke, Alexander; Rehberg, Joachim; Winkler, Michael Global existence for a nonlocal and nonlinear Fokker-Planck equation. (English) Zbl 1325.35227 Z. Angew. Math. Phys. 66, No. 2, 293-315 (2015). MSC: 35Q84 35A01 35C20 35B40 PDFBibTeX XMLCite \textit{W. Dreyer} et al., Z. Angew. Math. Phys. 66, No. 2, 293--315 (2015; Zbl 1325.35227) Full Text: DOI
Mielke, Alexander; Roubíček, Tomáš Rate-independent systems. Theory and application. (English) Zbl 1339.35006 Applied Mathematical Sciences 193. New York, NY: Springer (ISBN 978-1-4939-2705-0/hbk; 978-1-4939-2706-7/ebook). xxii, 660 p. (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35-02 35K85 35Q74 47J35 49J40 49J45 49S05 74-02 74C15 35B27 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{T. Roubíček}, Rate-independent systems. Theory and application. New York, NY: Springer (2015; Zbl 1339.35006) Full Text: DOI
Mielke, Alexander; Naumann, Joachim Global-in-time existence of weak solutions to Kolmogorov’s two-equation model of turbulence. (Sur l’existence globale en temps des solutions faibles pour le modèle de turbulence à deux équations de Kolmogorov.) (English. Abridged French version) Zbl 1320.35262 C. R., Math., Acad. Sci. Paris 353, No. 4, 321-326 (2015). Reviewer: Diego Chamorro (Evry) MSC: 35Q30 76D05 35D30 76F02 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{J. Naumann}, C. R., Math., Acad. Sci. Paris 353, No. 4, 321--326 (2015; Zbl 1320.35262) Full Text: DOI
Yanchuk, Serhiy; Lücken, Leonhard; Wolfrum, Matthias; Mielke, Alexander Spectrum and amplitude equations for scalar delay-differential equations with large delay. (English) Zbl 1312.34100 Discrete Contin. Dyn. Syst. 35, No. 1, 537-553 (2015). Reviewer: Giselle A. Monteiro (Prague) MSC: 34K08 34K20 34K25 34K18 34K06 PDFBibTeX XMLCite \textit{S. Yanchuk} et al., Discrete Contin. Dyn. Syst. 35, No. 1, 537--553 (2015; Zbl 1312.34100) Full Text: DOI
Mielke, A.; Peletier, M. A.; Renger, D. R. M. A generalization of Onsager’s reciprocity relations to gradient flows with nonlinear mobility. arXiv:1510.06219 Preprint, arXiv:1510.06219 [cond-mat.stat-mech] (2015). BibTeX Cite \textit{A. Mielke} et al., ``A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility'', Preprint, arXiv:1510.06219 [cond-mat.stat-mech] (2015) Full Text: DOI arXiv OA License
Ambrosio, Luigi (ed.); Mielke, Alexander (ed.); Peletier, Mark A. (ed.); Savaré, Giuseppe (ed.) Variational methods for evolution. Abstracts from the workshop held December 14–20, 2014. (English) Zbl 1349.00037 Oberwolfach Rep. 11, No. 4, 3177-3254 (2014). MSC: 00B05 00B25 49-06 35-06 49J35 35A15 49L25 60F10 60H15 35Qxx PDFBibTeX XMLCite \textit{L. Ambrosio} (ed.) et al., Oberwolfach Rep. 11, No. 4, 3177--3254 (2014; Zbl 1349.00037) Full Text: DOI
Mielke, Alexander; Reichelt, Sina; Thomas, Marita Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. (English) Zbl 1304.35052 Netw. Heterog. Media 9, No. 2, 353-382 (2014). MSC: 35B25 35A01 35K57 35K65 35K51 PDFBibTeX XMLCite \textit{A. Mielke} et al., Netw. Heterog. Media 9, No. 2, 353--382 (2014; Zbl 1304.35052) Full Text: DOI
Mielke, A.; Peletier, M. A.; Renger, D. R. M. On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion. (English) Zbl 1304.35692 Potential Anal. 41, No. 4, 1293-1327 (2014). Reviewer: Marin I. Marin (Braşov) MSC: 35Q82 35Q84 49S05 60F10 60J25 60J27 PDFBibTeX XMLCite \textit{A. Mielke} et al., Potential Anal. 41, No. 4, 1293--1327 (2014; Zbl 1304.35692) Full Text: DOI arXiv
Mielke, Alexander; Ortner, Christoph; Şengül, Yasemin An approach to nonlinear viscoelasticity via metric gradient flows. (English) Zbl 1317.74024 SIAM J. Math. Anal. 46, No. 2, 1317-1347 (2014). Reviewer: Vinod K. Arya (Dallas) MSC: 74D10 74G65 53C22 PDFBibTeX XMLCite \textit{A. Mielke} et al., SIAM J. Math. Anal. 46, No. 2, 1317--1347 (2014; Zbl 1317.74024) Full Text: DOI Link
Mielke, Alexander; Zelik, Sergey On the vanishing-viscosity limit in parabolic systems with rate-independent dissipation terms. (English) Zbl 1295.35036 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 13, No. 1, 67-135 (2014). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35B25 35K59 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{S. Zelik}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 13, No. 1, 67--135 (2014; Zbl 1295.35036) Full Text: DOI
Mielke, Alexander Dissipative quantum mechanics using GENERIC. (English) Zbl 1315.81061 Johann, Andreas (ed.) et al., Recent trends in dynamical systems. Proceedings of the international conference, Munich, Germany, January 11–13, 2012, in honor of Jürgen Scheurle on the occasion of his 60th birthday. Basel: Springer (ISBN 978-3-0348-0450-9/hbk; 978-3-0348-0451-6/ebook). Springer Proceedings in Mathematics & Statistics 35, 555-585 (2013). MSC: 81S22 37L50 82C31 82C35 82B30 PDFBibTeX XMLCite \textit{A. Mielke}, Springer Proc. Math. Stat. 35, 555--585 (2013; Zbl 1315.81061) Full Text: DOI
Liero, Matthias; Mielke, Alexander Gradient structures and geodesic convexity for reaction-diffusion systems. (English) Zbl 1292.35149 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 2005, 20120346, 28 p. (2013). MSC: 35K57 35K51 35K59 PDFBibTeX XMLCite \textit{M. Liero} and \textit{A. Mielke}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 2005, 20120346, 28 p. (2013; Zbl 1292.35149) Full Text: DOI
Mielke, Alexander Geodesic convexity of the relative entropy in reversible Markov chains. (English) Zbl 1282.60072 Calc. Var. Partial Differ. Equ. 48, No. 1-2, 1-31 (2013). Reviewer: Piotr Garbaczewski (Opole) MSC: 60J27 53C21 53C23 82C41 82C31 PDFBibTeX XMLCite \textit{A. Mielke}, Calc. Var. Partial Differ. Equ. 48, No. 1--2, 1--31 (2013; Zbl 1282.60072) Full Text: DOI
Mielke, Alexander; Stefanelli, Ulisse Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity. (English) Zbl 1334.74021 J. Eur. Math. Soc. (JEMS) 15, No. 3, 923-948 (2013). MSC: 74C05 49J45 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{U. Stefanelli}, J. Eur. Math. Soc. (JEMS) 15, No. 3, 923--948 (2013; Zbl 1334.74021) Full Text: DOI arXiv
Mielke, Alexander; Rohan, Eduard Homogenization of elastic waves in fluid-saturated porous media using the Biot model. (English) Zbl 1311.35017 Math. Models Methods Appl. Sci. 23, No. 5, 873-916 (2013). Reviewer: Sebastien Boyabal (Chaville) MSC: 35B27 35L05 35L51 74Q10 76S05 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{E. Rohan}, Math. Models Methods Appl. Sci. 23, No. 5, 873--916 (2013; Zbl 1311.35017) Full Text: DOI
Mielke, Alexander Thermomechanical modeling of energy-reaction-diffusion systems, including bulk-interface interactions. (English) Zbl 1262.35127 Discrete Contin. Dyn. Syst., Ser. S 6, No. 2, 479-499 (2013). MSC: 35K57 80A17 82B35 74F25 35K51 PDFBibTeX XMLCite \textit{A. Mielke}, Discrete Contin. Dyn. Syst., Ser. S 6, No. 2, 479--499 (2013; Zbl 1262.35127) Full Text: DOI
Glitzky, Annegret; Mielke, Alexander A gradient structure for systems coupling reaction-diffusion effects in bulk and interfaces. (English) Zbl 1270.35256 Z. Angew. Math. Phys. 64, No. 1, 29-52 (2013). Reviewer: Alexander Mikhajlovich Blokhin (Novosibirsk) MSC: 35K51 35K57 35K58 37L45 78A35 78A57 PDFBibTeX XMLCite \textit{A. Glitzky} and \textit{A. Mielke}, Z. Angew. Math. Phys. 64, No. 1, 29--52 (2013; Zbl 1270.35256) Full Text: DOI
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
Mielke, Alexander Emergence of rate-independent dissipation from viscous systems with wiggly energies. (English) Zbl 1258.74169 Contin. Mech. Thermodyn. 24, No. 4-6, 591-606 (2012). MSC: 74N30 74D10 PDFBibTeX XMLCite \textit{A. Mielke}, Contin. Mech. Thermodyn. 24, No. 4--6, 591--606 (2012; Zbl 1258.74169) Full Text: DOI
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe Variational convergence of gradient flows and rate-independent evolutions in metric spaces. (English) Zbl 1255.49078 Milan J. Math. 80, No. 2, 381-410 (2012). MSC: 49Q20 34A60 PDFBibTeX XMLCite \textit{A. Mielke} et al., Milan J. Math. 80, No. 2, 381--410 (2012; Zbl 1255.49078) Full Text: DOI arXiv
Mielke, Alexander; Roubíček, Tomáš; Thomas, Marita From damage to delamination in nonlinearly elastic materials at small strains. (English) Zbl 1253.74088 J. Elasticity 109, No. 2, 235-273 (2012). MSC: 74R05 74R10 49J45 49S05 PDFBibTeX XMLCite \textit{A. Mielke} et al., J. Elasticity 109, No. 2, 235--273 (2012; Zbl 1253.74088) Full Text: DOI
Hackl, K.; Heinz, S.; Mielke, A. A model for the evolution of laminates in finite-strain elastoplasticity. (English) Zbl 1348.74060 ZAMM, Z. Angew. Math. Mech. 92, No. 11-12, 888-909 (2012). MSC: 74C05 74A05 74H20 35Q74 PDFBibTeX XMLCite \textit{K. Hackl} et al., ZAMM, Z. Angew. Math. Mech. 92, No. 11--12, 888--909 (2012; Zbl 1348.74060) Full Text: DOI
Mielke, Alexander; Truskinovsky, Lev From discrete visco-elasticity to continuum rate-independent plasticity: rigorous results. (English) Zbl 1286.74024 Arch. Ration. Mech. Anal. 203, No. 2, 577-619 (2012). MSC: 74C05 74A25 74D99 35Q74 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{L. Truskinovsky}, Arch. Ration. Mech. Anal. 203, No. 2, 577--619 (2012; Zbl 1286.74024) Full Text: DOI
Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. (English) Zbl 1248.35105 SIAM J. Numer. Anal. 50, No. 2, 951-976 (2012). MSC: 35K65 35K85 49S05 65M60 74C05 PDFBibTeX XMLCite \textit{S. Bartels} et al., SIAM J. Numer. Anal. 50, No. 2, 951--976 (2012; Zbl 1248.35105) Full Text: DOI
Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction. (English) Zbl 1270.35055 Calc. Var. Partial Differ. Equ. 44, No. 3-4, 419-454 (2012). MSC: 35B27 35K67 35B25 35K20 35K57 60F10 70F40 70G75 37L05 35Q84 PDFBibTeX XMLCite \textit{S. Arnrich} et al., Calc. Var. Partial Differ. Equ. 44, No. 3--4, 419--454 (2012; Zbl 1270.35055) Full Text: DOI arXiv
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe BV solutions and viscosity approximations of rate-independent systems. (English) Zbl 1250.49041 ESAIM, Control Optim. Calc. Var. 18, No. 1, 36-80 (2012). Reviewer: Th. M. Rassias MSC: 49Q20 58E99 PDFBibTeX XMLCite \textit{A. Mielke} et al., ESAIM, Control Optim. Calc. Var. 18, No. 1, 36--80 (2012; Zbl 1250.49041) Full Text: DOI arXiv EuDML
Mielke, Alexander (ed.); Otto, Felix (ed.); Savaré, Giuseppe (ed.); Stefanelli, Ulisse (ed.) Variational methods for evolution. Abstracts from the workshop held December 4–10, 2011. (English) Zbl 1349.00226 Oberwolfach Rep. 8, No. 4, 3145-3216 (2011). MSC: 00B05 00B25 35-06 49-06 PDFBibTeX XMLCite \textit{A. Mielke} (ed.) et al., Oberwolfach Rep. 8, No. 4, 3145--3216 (2011; Zbl 1349.00226) Full Text: DOI
Mielke, Alexander Formulation of thermoelastic dissipative material behavior using GENERIC. (English) Zbl 1272.74137 Contin. Mech. Thermodyn. 23, No. 3, 233-256 (2011). MSC: 74F05 74A15 82C35 PDFBibTeX XMLCite \textit{A. Mielke}, Contin. Mech. Thermodyn. 23, No. 3, 233--256 (2011; Zbl 1272.74137) Full Text: DOI
Mielke, Alexander Differential, energetic, and metric formulations for rate-independent processes. (English) Zbl 1251.35003 Ambrosio, Luigi (ed.) et al., Nonlinear PDE’s and applications. C.I.M.E. summer school, Cetraro, Italy, June 23–28, 2008. Berlin: Springer (ISBN 978-3-642-21718-0/pbk; 978-3-642-21861-3/ebook). Lecture Notes in Mathematics 2028, 87-170 (2011). Reviewer: Adrian Muntean (Eindhoven) MSC: 35-02 35B27 35K15 47H04 PDFBibTeX XMLCite \textit{A. Mielke}, Lect. Notes Math. 2028, 87--170 (2011; Zbl 1251.35003) Full Text: DOI
Mielke, Alexander On thermodynamically consistent models and gradient structures for thermoplasticity. (English) Zbl 1279.74008 GAMM-Mitt. 34, No. 1, 51-58 (2011). MSC: 74C99 74A15 35Q74 PDFBibTeX XMLCite \textit{A. Mielke}, GAMM-Mitt. 34, No. 1, 51--58 (2011; Zbl 1279.74008) 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
Mielke, Alexander A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. (English) Zbl 1227.35161 Nonlinearity 24, No. 4, 1329-1346 (2011). Reviewer: Gisèle M. Mophou (Pointe-à-Pitre) MSC: 35K51 35K57 35K58 PDFBibTeX XMLCite \textit{A. Mielke}, Nonlinearity 24, No. 4, 1329--1346 (2011; Zbl 1227.35161) Full Text: DOI
Mielke, Alexander; Stefanelli, Ulisse Weighted energy-dissipation functionals for gradient flows. (English) Zbl 1218.35007 ESAIM, Control Optim. Calc. Var. 17, No. 1, 52-85 (2011). Reviewer: M. Marin (Brasov) MSC: 35A15 35K55 49K20 49K30 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{U. Stefanelli}, ESAIM, Control Optim. Calc. Var. 17, No. 1, 52--85 (2011; Zbl 1218.35007) Full Text: DOI EuDML
Mielke, Alexander Complete-damage evolution based on energies and stresses. (English) Zbl 1209.74010 Discrete Contin. Dyn. Syst., Ser. S 4, No. 2, 423-439 (2011). Reviewer: Alain Brillard (Riedisheim) MSC: 74C05 35K65 35K85 49S05 74R05 PDFBibTeX XMLCite \textit{A. Mielke}, Discrete Contin. Dyn. Syst., Ser. S 4, No. 2, 423--439 (2011; Zbl 1209.74010) Full Text: DOI
Mielke, Alexander; Roubíček, Tomáš; Zeman, Jan Complete damage in elastic and viscoelastic media and its energetics. (English) Zbl 1227.74058 Comput. Methods Appl. Mech. Eng. 199, No. 21-22, 1242-1253 (2010). MSC: 74R20 74B05 74D05 PDFBibTeX XMLCite \textit{A. Mielke} et al., Comput. Methods Appl. Mech. Eng. 199, No. 21--22, 1242--1253 (2010; Zbl 1227.74058) Full Text: DOI
Giannoulis, Johannes; Mielke, Alexander; Sparber, Christof High-frequency averaging in semi-classical Hartree-type equations. (English) Zbl 1229.35261 Asymptotic Anal. 70, No. 1-2, 87-100 (2010). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B25 35B40 81Q20 PDFBibTeX XMLCite \textit{J. Giannoulis} et al., Asymptotic Anal. 70, No. 1--2, 87--100 (2010; Zbl 1229.35261) Full Text: DOI arXiv
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien; Stefanelli, Ulisse Error estimates for space-time discretizations of a rate-independent variational inequality. (English) Zbl 1219.65059 SIAM J. Numer. Anal. 48, No. 5, 1625-1646 (2010). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 65K15 49J40 74C05 74N30 PDFBibTeX XMLCite \textit{A. Mielke} et al., SIAM J. Numer. Anal. 48, No. 5, 1625--1646 (2010; Zbl 1219.65059) Full Text: DOI Link
Mielke, Alexander (ed.); Ortiz, Michael (ed.) Microstructures in solids: from quantum models to continua. Abstracts from the workshop held March 14th – March 20th, 2010. (English) Zbl 1209.00066 Oberwolfach Rep. 7, No. 1, 733-798 (2010). MSC: 00B05 82-06 74-06 35-06 35Q74 82Dxx 49J45 74A60 74Cxx 74N15 PDFBibTeX XMLCite \textit{A. Mielke} (ed.) and \textit{M. Ortiz} (ed.), Oberwolfach Rep. 7, No. 1, 733--798 (2010; Zbl 1209.00066) Full Text: DOI Link
Mielke, Alexander; Patz, Carsten Dispersive stability of infinite-dimensional Hamiltonian systems on lattices. (English) Zbl 1200.37071 Appl. Anal. 89, No. 9, 1493-1512 (2010). Reviewer: Caidi Zhao (Wenzhou) MSC: 37K60 35Q41 41A60 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{C. Patz}, Appl. Anal. 89, No. 9, 1493--1512 (2010; Zbl 1200.37071) Full Text: DOI
Knees, Dorothee; Zanini, Chiara; Mielke, Alexander Crack growth in polyconvex materials. (English) Zbl 1201.49013 Physica D 239, No. 15, 1470-1484 (2010). MSC: 49J52 49J40 49L25 35K90 74B20 74G65 74R10 PDFBibTeX XMLCite \textit{D. Knees} et al., Physica D 239, No. 15, 1470--1484 (2010; Zbl 1201.49013) Full Text: DOI
Thomas, M.; Mielke, A. Damage of nonlinearly elastic materials at small strain – existence and regularity results. (English) Zbl 1191.35159 ZAMM, Z. Angew. Math. Mech. 90, No. 2, 88-112 (2010). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35K85 74C15 74R20 PDFBibTeX XMLCite \textit{M. Thomas} and \textit{A. Mielke}, ZAMM, Z. Angew. Math. Mech. 90, No. 2, 88--112 (2010; Zbl 1191.35159) Full Text: DOI
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien On existence and approximation for a 3D model of thermally induced phase transformations in shape-memory alloys. (English) Zbl 1201.49011 SIAM J. Math. Anal. 41, No. 4, 1388-1414 (2009). MSC: 49J40 74C05 74F05 74M05 74N30 49M25 49N60 PDFBibTeX XMLCite \textit{A. Mielke} et al., SIAM J. Math. Anal. 41, No. 4, 1388--1414 (2009; Zbl 1201.49011) Full Text: DOI HAL
Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš A complete-damage problem at small strains. (English) Zbl 1238.74005 Z. Angew. Math. Phys. 60, No. 2, 205-236 (2009). MSC: 74A45 74R20 74C05 74G65 35Q74 PDFBibTeX XMLCite \textit{G. Bouchitté} et al., Z. Angew. Math. Phys. 60, No. 2, 205--236 (2009; Zbl 1238.74005) Full Text: DOI