Morgan, Jeff; Tang, Bao Quoc Global well-posedness for volume-surface reaction-diffusion systems. (English) Zbl 1512.35368 Commun. Contemp. Math. 25, No. 4, Article ID 2250002, 63 p. (2023). MSC: 35K51 35A01 35K57 35K58 35Q92 PDFBibTeX XMLCite \textit{J. Morgan} and \textit{B. Q. Tang}, Commun. Contemp. Math. 25, No. 4, Article ID 2250002, 63 p. (2023; Zbl 1512.35368) Full Text: DOI arXiv
Ait Ben Hassi, El Mustapha; Chorfi, Salah-Eddine; Maniar, Lahcen Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions. (English) Zbl 1498.35611 Inverse Probl. 38, No. 11, Article ID 115007, 28 p. (2022). MSC: 35R30 35K51 35K58 93B07 PDFBibTeX XMLCite \textit{E. M. Ait Ben Hassi} et al., Inverse Probl. 38, No. 11, Article ID 115007, 28 p. (2022; Zbl 1498.35611) Full Text: DOI arXiv
Hopf, Katharina Weak-strong uniqueness for energy-reaction-diffusion systems. (English) Zbl 1491.35007 Math. Models Methods Appl. Sci. 32, No. 5, 1015-1069 (2022). MSC: 35A02 35D30 35D35 35K51 35K57 35Q79 PDFBibTeX XMLCite \textit{K. Hopf}, Math. Models Methods Appl. Sci. 32, No. 5, 1015--1069 (2022; Zbl 1491.35007) Full Text: DOI arXiv
Liu, Chun; Wang, Cheng; Wang, Yiwei; Wise, Steven M. Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. (English) Zbl 07516278 SIAM J. Numer. Anal. 60, No. 2, 781-803 (2022). MSC: 65-XX 35K35 35K55 49J40 65M06 65M12 PDFBibTeX XMLCite \textit{C. Liu} et al., SIAM J. Numer. Anal. 60, No. 2, 781--803 (2022; Zbl 07516278) Full Text: DOI arXiv
Bäcker, Jan-Phillip; Röger, Matthias Analysis and asymptotic reduction of a bulk-surface reaction-diffusion model of Gierer-Meinhardt type. (English) Zbl 1491.35271 Commun. Pure Appl. Anal. 21, No. 4, 1139-1155 (2022). Reviewer: Takashi Suzuki (Osaka) MSC: 35K57 35B36 35K51 58J35 92B05 PDFBibTeX XMLCite \textit{J.-P. Bäcker} and \textit{M. Röger}, Commun. Pure Appl. Anal. 21, No. 4, 1139--1155 (2022; Zbl 1491.35271) Full Text: DOI
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
Liu, Chun; Wang, Cheng; Wang, Yiwei A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance. (English) Zbl 07513840 J. Comput. Phys. 436, Article ID 110253, 22 p. (2021). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{C. Liu} et al., J. Comput. Phys. 436, Article ID 110253, 22 p. (2021; Zbl 07513840) Full Text: DOI arXiv
Monsaingeon, Léonard A new transportation distance with bulk/interface interactions and flux penalization. (English) Zbl 1471.49035 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 101, 49 p. (2021). Reviewer: Xin Yang Lu (Thunder Bay) MSC: 49Q22 PDFBibTeX XMLCite \textit{L. Monsaingeon}, Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 101, 49 p. (2021; Zbl 1471.49035) Full Text: DOI arXiv
Frenzel, Thomas; Liero, Matthias Effective diffusion in thin structures via generalized gradient systems and EDP-convergence. (English) Zbl 1458.35039 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 395-425 (2021). MSC: 35B27 35K20 35K10 35K57 35Q84 PDFBibTeX XMLCite \textit{T. Frenzel} and \textit{M. Liero}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 395--425 (2021; Zbl 1458.35039) Full Text: DOI
Disser, Karoline Global existence and uniqueness for a volume-surface reaction-nonlinear-diffusion system. (English) Zbl 1458.35232 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 321-330 (2021). MSC: 35K61 35K57 35B45 35A01 PDFBibTeX XMLCite \textit{K. Disser}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 321--330 (2021; Zbl 1458.35232) Full Text: DOI arXiv
Roubíček, Tomáš Cahn-Hilliard equation with capillarity in actual deforming configurations. (English) Zbl 1454.35378 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 41-55 (2021). MSC: 35Q74 37N15 65M60 74A30 74H20 76S05 PDFBibTeX XMLCite \textit{T. Roubíček}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 41--55 (2021; Zbl 1454.35378) 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
Disser, Karoline Global existence, uniqueness and stability for nonlinear dissipative bulk-interface interaction systems. (English) Zbl 1442.35229 J. Differ. Equations 269, No. 5, 4023-4044 (2020). MSC: 35K61 35K59 35A01 35B50 35B40 PDFBibTeX XMLCite \textit{K. Disser}, J. Differ. Equations 269, No. 5, 4023--4044 (2020; Zbl 1442.35229) Full Text: DOI arXiv
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
Voigt, Axel Fluid deformable surfaces. (English) Zbl 1430.76053 J. Fluid Mech. 878, 1-4 (2019). MSC: 76A20 74K15 76M10 PDFBibTeX XMLCite \textit{A. Voigt}, J. Fluid Mech. 878, 1--4 (2019; Zbl 1430.76053) Full Text: DOI
Torres-Sánchez, Alejandro; Millán, Daniel; Arroyo, Marino Modelling fluid deformable surfaces with an emphasis on biological interfaces. (English) Zbl 1430.76503 J. Fluid Mech. 872, 218-271 (2019). MSC: 76Z05 PDFBibTeX XMLCite \textit{A. Torres-Sánchez} et al., J. Fluid Mech. 872, 218--271 (2019; Zbl 1430.76503) Full Text: DOI arXiv
Hausberg, Stephan; Röger, Matthias Well-posedness and fast-diffusion limit for a bulk-surface reaction-diffusion system. (English) Zbl 1393.35085 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 3, Paper No. 17, 32 p. (2018). MSC: 35K51 35R01 35R35 35K20 92C37 PDFBibTeX XMLCite \textit{S. Hausberg} and \textit{M. Röger}, NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 3, Paper No. 17, 32 p. (2018; Zbl 1393.35085) Full Text: DOI
Disser, Karoline; Liero, Matthias; Zinsl, Jonathan Evolutionary \(\Gamma\)-convergence of gradient systems modeling slow and fast chemical reactions. (English) Zbl 1398.34085 Nonlinearity 31, No. 8, 3689-3706 (2018). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 49J40 49J45 80A30 92E20 PDFBibTeX XMLCite \textit{K. Disser} et al., Nonlinearity 31, No. 8, 3689--3706 (2018; Zbl 1398.34085) 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
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
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
Hoyuelos, Miguel GENERIC framework for the Fokker-Planck equation. (English) Zbl 1400.82192 Physica A 442, 350-358 (2016). MSC: 82C31 PDFBibTeX XMLCite \textit{M. Hoyuelos}, Physica A 442, 350--358 (2016; Zbl 1400.82192) Full Text: DOI
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
Morro, A. Diffusion in mixtures of reacting thermoelastic solids. (English) Zbl 1332.74004 J. Elasticity 123, No. 1, 59-84 (2016). MSC: 74A30 74A65 74F20 PDFBibTeX XMLCite \textit{A. Morro}, J. Elasticity 123, No. 1, 59--84 (2016; Zbl 1332.74004) Full Text: DOI
Grmela, Miroslav Geometry of multiscale nonequilibrium thermodynamcis. (English) Zbl 1338.80005 Entropy 17, No. 9, 5938-5964 (2015). MSC: 80A10 PDFBibTeX XMLCite \textit{M. Grmela}, Entropy 17, No. 9, 5938--5964 (2015; Zbl 1338.80005) 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
Disser, Karoline; Liero, Matthias On gradient structures for Markov chains and the passage to Wasserstein gradient flows. (English) Zbl 1372.35124 Netw. Heterog. Media 10, No. 2, 233-253 (2015). Reviewer: André Schlichting (Bonn) MSC: 35K10 35K20 37L05 49M25 60F99 65M08 60J27 70G75 82B35 PDFBibTeX XMLCite \textit{K. Disser} and \textit{M. Liero}, Netw. Heterog. Media 10, No. 2, 233--253 (2015; Zbl 1372.35124) Full Text: DOI
Zinsl, Jonathan; Matthes, Daniel Transport distances and geodesic convexity for systems of degenerate diffusion equations. (English) Zbl 1342.49067 Calc. Var. Partial Differ. Equ. 54, No. 4, 3397-3438 (2015). MSC: 49Q20 49K20 49J40 35K40 PDFBibTeX XMLCite \textit{J. Zinsl} and \textit{D. Matthes}, Calc. Var. Partial Differ. Equ. 54, No. 4, 3397--3438 (2015; Zbl 1342.49067) Full Text: DOI arXiv
Heida, Martin On systems of Cahn-Hilliard and Allen-Cahn equations considered as gradient flows in Hilbert spaces. (English) Zbl 1332.35192 J. Math. Anal. Appl. 423, No. 1, 410-455 (2015). Reviewer: Alpár R. Mészáros (Los Angeles) MSC: 35K86 35K57 35A15 49J40 PDFBibTeX XMLCite \textit{M. Heida}, J. Math. Anal. Appl. 423, No. 1, 410--455 (2015; Zbl 1332.35192) Full Text: DOI
Heida, Martin On thermodynamics of fluid interfaces. (English) Zbl 1423.80007 Int. J. Eng. Sci. 82, 178-195 (2014). MSC: 80A10 35Q35 76D27 76T99 80A17 80A20 82C24 PDFBibTeX XMLCite \textit{M. Heida}, Int. J. Eng. Sci. 82, 178--195 (2014; Zbl 1423.80007) Full Text: DOI Link
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, 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
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