Shao, J. Y.; Shu, C.; Wu, J.; Chew, Y. T. A stencil adaptive phase-field lattice Boltzmann method for two dimensional incompressible multiphase flows. (English) Zbl 1455.76152 Int. J. Numer. Methods Fluids 72, No. 6, 671-696 (2013). MSC: 76M28 76T99 PDFBibTeX XMLCite \textit{J. Y. Shao} et al., Int. J. Numer. Methods Fluids 72, No. 6, 671--696 (2013; Zbl 1455.76152) Full Text: DOI
Heida, Martin On the derivation of thermodynamically consistent boundary conditions for the Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1423.76094 Int. J. Eng. Sci. 62, 126-156 (2013). MSC: 76D05 35Q35 80A20 PDFBibTeX XMLCite \textit{M. Heida}, Int. J. Eng. Sci. 62, 126--156 (2013; Zbl 1423.76094) Full Text: DOI
Lee, Hyun Geun; Kim, Junseok Buoyancy-driven mixing of multi-component fluids in two-dimensional tilted channels. (English) Zbl 1408.76548 Eur. J. Mech., B, Fluids 42, 37-46 (2013). MSC: 76T30 76D05 PDFBibTeX XMLCite \textit{H. G. Lee} and \textit{J. Kim}, Eur. J. Mech., B, Fluids 42, 37--46 (2013; Zbl 1408.76548) Full Text: DOI
Wang, Fengwen; Schnack, Eckart; Zhu, Yaochan Discontinuous Galerkin solution of a phase-field model in isothermal chemical vapor infiltration of SiC. (English) Zbl 1365.76333 J. Eng. Math. 78, 261-274 (2013). MSC: 76V05 76M10 74S05 74A25 74A40 65M60 80A32 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Eng. Math. 78, 261--274 (2013; Zbl 1365.76333) Full Text: DOI
Verhoosel, Clemens V.; De Borst, René A phase-field model for cohesive fracture. (English) Zbl 1352.74029 Int. J. Numer. Methods Eng. 96, No. 1, 43-62 (2013). MSC: 74A45 74R10 74S05 PDFBibTeX XMLCite \textit{C. V. Verhoosel} and \textit{R. De Borst}, Int. J. Numer. Methods Eng. 96, No. 1, 43--62 (2013; Zbl 1352.74029) Full Text: DOI Link
Mahnken, R. Goal-oriented adaptive refinement for phase field modeling with finite elements. (English) Zbl 1352.80010 Int. J. Numer. Methods Eng. 94, No. 4, 418-440 (2013). MSC: 80M10 65M60 80A22 PDFBibTeX XMLCite \textit{R. Mahnken}, Int. J. Numer. Methods Eng. 94, No. 4, 418--440 (2013; Zbl 1352.80010) Full Text: DOI
Rosolen, A.; Millán, D.; Arroyo, M. Second-order convex maximum entropy approximants with applications to high-order PDE. (English) Zbl 1352.74177 Int. J. Numer. Methods Eng. 94, No. 2, 150-182 (2013). MSC: 74K25 74G15 74H45 74S05 65N30 PDFBibTeX XMLCite \textit{A. Rosolen} et al., Int. J. Numer. Methods Eng. 94, No. 2, 150--182 (2013; Zbl 1352.74177) Full Text: DOI Link
Wallin, Mathias; Ristinmaa, Matti Howard’s algorithm in a phase-field topology optimization approach. (English) Zbl 1352.74252 Int. J. Numer. Methods Eng. 94, No. 1, 43-59 (2013). MSC: 74P15 49Q12 PDFBibTeX XMLCite \textit{M. Wallin} and \textit{M. Ristinmaa}, Int. J. Numer. Methods Eng. 94, No. 1, 43--59 (2013; Zbl 1352.74252) Full Text: DOI
Hofacker, M.; Miehe, C. A phase field model of dynamic fracture: robust field updates for the analysis of complex crack patterns. (English) Zbl 1352.74022 Int. J. Numer. Methods Eng. 93, No. 3, 276-301 (2013). MSC: 74A45 PDFBibTeX XMLCite \textit{M. Hofacker} and \textit{C. Miehe}, Int. J. Numer. Methods Eng. 93, No. 3, 276--301 (2013; Zbl 1352.74022) Full Text: DOI
Zaeem, Mohsen Asle; Yin, Hebi; Felicelli, Sergio D. Modeling dendritic solidification of Al-3%Cu using cellular automaton and phase-field methods. (English) Zbl 1351.74070 Appl. Math. Modelling 37, No. 5, 3495-3503 (2013). MSC: 74N25 74S05 PDFBibTeX XMLCite \textit{M. A. Zaeem} et al., Appl. Math. Modelling 37, No. 5, 3495--3503 (2013; Zbl 1351.74070) Full Text: DOI
Liu, Ju; Gomez, Hector; Evans, John A.; Hughes, Thomas J. R.; Landis, Chad M. Functional entropy variables: a new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations. (English) Zbl 1349.76237 J. Comput. Phys. 248, 47-86 (2013). MSC: 76M10 65M60 65M12 76D05 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Comput. Phys. 248, 47--86 (2013; Zbl 1349.76237) Full Text: DOI
Baskaran, Arvind; Hu, Zhengzheng; Lowengrub, John S.; Wang, Cheng; Wise, Steven M.; Zhou, Peng Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation. (English) Zbl 1349.65265 J. Comput. Phys. 250, 270-292 (2013). MSC: 65M06 74E15 PDFBibTeX XMLCite \textit{A. Baskaran} et al., J. Comput. Phys. 250, 270--292 (2013; Zbl 1349.65265) Full Text: DOI arXiv
Wu, Bin; Chen, Qun; Wang, Zewen Uniqueness and stability of an inverse problem for a phase field model using data from one component. (English) Zbl 1346.35234 Comput. Math. Appl. 66, No. 10, 2126-2138 (2013). MSC: 35R30 PDFBibTeX XMLCite \textit{B. Wu} et al., Comput. Math. Appl. 66, No. 10, 2126--2138 (2013; Zbl 1346.35234) Full Text: DOI
van der Sman, R. G. M. Investigation of lattice Boltzmann wetting boundary conditions for capillaries with irregular polygonal cross-section. (English) Zbl 1344.76070 Comput. Phys. Commun. 184, No. 12, 2751-2760 (2013). MSC: 76M28 PDFBibTeX XMLCite \textit{R. G. M. van der Sman}, Comput. Phys. Commun. 184, No. 12, 2751--2760 (2013; Zbl 1344.76070) Full Text: DOI
Medvedev, D. A.; Ershov, A. P. Simulation of the ice formation on a underwater gas pipeline. (Russian) Zbl 1349.82039 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 13, No. 4, 96-101 (2013). MSC: 82C24 PDFBibTeX XMLCite \textit{D. A. Medvedev} and \textit{A. P. Ershov}, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 13, No. 4, 96--101 (2013; Zbl 1349.82039) Full Text: MNR
Omelchenko, E. A.; Plekhanova, M. V.; Davydov, P. N. Numerical solution of delayed linearized quasistationary phase-field system of equations. (Russian. English summary) Zbl 1331.65106 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 5, No. 2, 45-51 (2013). MSC: 65L12 47D06 34K06 34K30 PDFBibTeX XMLCite \textit{E. A. Omelchenko} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 5, No. 2, 45--51 (2013; Zbl 1331.65106) Full Text: MNR
Zhao, Jihong; Liu, Qiao Logarithmically improved blow-up criteria for a phase field Navier-Stokes vesicle-fluid interaction model. (English) Zbl 1306.35105 J. Math. Anal. Appl. 405, No. 2, 422-437 (2013). MSC: 35Q35 76Z05 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{Q. Liu}, J. Math. Anal. Appl. 405, No. 2, 422--437 (2013; Zbl 1306.35105) Full Text: DOI arXiv
Dhote, R. P.; Fabrizio, M.; Melnik, R. N. V.; Zu, J. Hysteresis phenomena in shape memory alloys by non-isothermal Ginzburg-Landau models. (English) Zbl 1328.74071 Commun. Nonlinear Sci. Numer. Simul. 18, No. 9, 2549-2561 (2013). MSC: 74N30 74F05 74B20 35Q74 PDFBibTeX XMLCite \textit{R. P. Dhote} et al., Commun. Nonlinear Sci. Numer. Simul. 18, No. 9, 2549--2561 (2013; Zbl 1328.74071) Full Text: DOI
Peco, C.; Rosolen, A.; Arroyo, M. An adaptive meshfree method for phase-field models of biomembranes. II: A Lagrangian approach for membranes in viscous fluids. (English) Zbl 06360931 J. Comput. Phys. 249, 320-336 (2013). MSC: 65-XX 74-XX 76-XX PDFBibTeX XMLCite \textit{C. Peco} et al., J. Comput. Phys. 249, 320--336 (2013; Zbl 06360931) Full Text: DOI
Zhang, Zhengru; Ma, Yuan; Qiao, Zhonghua An adaptive time-stepping strategy for solving the phase field crystal model. (English) Zbl 1305.82009 J. Comput. Phys. 249, 204-215 (2013). Reviewer: Eugene Postnikov (Kursk) MSC: 82-08 65M06 82D25 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Comput. Phys. 249, 204--215 (2013; Zbl 1305.82009) Full Text: DOI
Abe, Kazunobu; Kimura, Masato Vibration-fracture model for one dimensional spring-mass system. (English) Zbl 1299.74015 J. Math-for-Ind. 5, No. A, 25-32 (2013). MSC: 74A45 74H45 74R99 PDFBibTeX XMLCite \textit{K. Abe} and \textit{M. Kimura}, J. Math-for-Ind. 5, No. A, 25--32 (2013; Zbl 1299.74015)
Berti, A.; Berti, V.; Grandi, D. A thermodynamic approach to isotropic-nematic phase transitions in liquid crystals. (English) Zbl 1293.76037 Meccanica 48, No. 4, 983-991 (2013). MSC: 76A15 80A17 82D30 PDFBibTeX XMLCite \textit{A. Berti} et al., Meccanica 48, No. 4, 983--991 (2013; Zbl 1293.76037) Full Text: DOI
Schrade, D.; Müller, R.; Gross, D. On the physical interpretation of material parameters in phase field models for ferroelectrics. (English) Zbl 1293.74102 Arch. Appl. Mech. 83, No. 10, 1393-1413 (2013). MSC: 74F15 78A25 82D45 PDFBibTeX XMLCite \textit{D. Schrade} et al., Arch. Appl. Mech. 83, No. 10, 1393--1413 (2013; Zbl 1293.74102) Full Text: DOI
Schmitt, Regina; Müller, Ralf; Kuhn, Charlotte; Urbassek, Herbert M. A phase field approach for multivariant martensitic transformations of stable and metastable phases. (English) Zbl 1293.74338 Arch. Appl. Mech. 83, No. 6, 849-859 (2013). MSC: 74N05 74S05 PDFBibTeX XMLCite \textit{R. Schmitt} et al., Arch. Appl. Mech. 83, No. 6, 849--859 (2013; Zbl 1293.74338) Full Text: DOI
Fabrizio, Mauro; Mongiovì, Maria Stella Phase transition and \(\lambda\)-line in liquid helium. (English) Zbl 1291.82135 J. Non-Equilibrium Thermodyn. 38, No. 2, 185-200 (2013). MSC: 82D50 76Y05 82C26 82C10 PDFBibTeX XMLCite \textit{M. Fabrizio} and \textit{M. S. Mongiovì}, J. Non-Equilibrium Thermodyn. 38, No. 2, 185--200 (2013; Zbl 1291.82135) Full Text: DOI
Zheng, Jiashan; Liu, Junjun; Liu, Hao State-constrained optimal control of phase-field equations with obstacle. (English) Zbl 1292.49025 Bound. Value Probl. 2013, Paper No. 234, 13 p. (2013). MSC: 49K20 49J20 74N25 PDFBibTeX XMLCite \textit{J. Zheng} et al., Bound. Value Probl. 2013, Paper No. 234, 13 p. (2013; Zbl 1292.49025) Full Text: DOI
Ivanova, N. D. Inverse problem for linearized quasi-stationary phase field model with degeneracy. (English) Zbl 1298.35251 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 2, 128-132 (2013). MSC: 35R30 PDFBibTeX XMLCite \textit{N. D. Ivanova}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 2, 128--132 (2013; Zbl 1298.35251)
Tomashchuk, I.; Sallamand, P.; Jouvard, J. M. The modeling of dissimilar welding of immiscible materials by using a phase field method. (English) Zbl 1288.80015 Appl. Math. Comput. 219, No. 13, 7103-7114 (2013). MSC: 80M10 80A22 76T99 PDFBibTeX XMLCite \textit{I. Tomashchuk} et al., Appl. Math. Comput. 219, No. 13, 7103--7114 (2013; Zbl 1288.80015) Full Text: DOI
Zäh, Dominic; Miehe, Christian Computational homogenization in dissipative electro-mechanics of functional materials. (English) Zbl 1286.74086 Comput. Methods Appl. Mech. Eng. 267, 487-510 (2013). MSC: 74Q10 74S05 74F15 PDFBibTeX XMLCite \textit{D. Zäh} and \textit{C. Miehe}, Comput. Methods Appl. Mech. Eng. 267, 487--510 (2013; Zbl 1286.74086) Full Text: DOI
Yang, Xiaofeng; Forest, M. Gregory; Li, Huiyuan; Liu, Chun; Shen, Jie; Wang, Qi; Chen, Falai Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. (English) Zbl 1286.65112 J. Comput. Phys. 236, 1-14 (2013). MSC: 65M12 76A15 76T99 76D05 PDFBibTeX XMLCite \textit{X. Yang} et al., J. Comput. Phys. 236, 1--14 (2013; Zbl 1286.65112) Full Text: DOI
Amler, T. G.; Botkin, N. D.; Hoffmann, K.-H.; Ruf, K. A. Regularity of solutions of a phase field model. (English) Zbl 1288.35288 Dyn. Partial Differ. Equ. 10, No. 4, 353-365 (2013). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35K51 80A22 PDFBibTeX XMLCite \textit{T. G. Amler} et al., Dyn. Partial Differ. Equ. 10, No. 4, 353--365 (2013; Zbl 1288.35288) Full Text: DOI
Moroşanu, Costică; Moşneagu, Ana-Maria On the numerical approximation of the phase-field system with non-homogeneous Cauchy-Neumann boundary conditions. Case 1d. (English) Zbl 1299.65195 ROMAI J. 9, No. 1, 91-110 (2013). MSC: 65M06 65M12 65Y20 80A22 35K20 80M20 PDFBibTeX XMLCite \textit{C. Moroşanu} and \textit{A.-M. Moşneagu}, ROMAI J. 9, No. 1, 91--110 (2013; Zbl 1299.65195)
Scarbolo, Luca; Molin, Dafne; Perlekar, Prasad; Sbragaglia, Mauro; Soldati, Alfredo; Toschi, Federico Unified framework for a side-by-side comparison of different multicomponent algorithms: lattice Boltzmann vs. phase field model. (English) Zbl 1284.76308 J. Comput. Phys. 234, 263-279 (2013). MSC: 76M28 76M25 76T30 PDFBibTeX XMLCite \textit{L. Scarbolo} et al., J. Comput. Phys. 234, 263--279 (2013; Zbl 1284.76308) Full Text: DOI arXiv
Guillén-González, F.; Tierra, G. On linear schemes for a Cahn-Hilliard diffuse interface model. (English) Zbl 1284.35025 J. Comput. Phys. 234, 140-171 (2013). MSC: 35A35 35K55 65M60 76R50 PDFBibTeX XMLCite \textit{F. Guillén-González} and \textit{G. Tierra}, J. Comput. Phys. 234, 140--171 (2013; Zbl 1284.35025) Full Text: DOI
Shao, J. Y.; Shu, C.; Chew, Y. T. Development of an immersed boundary-phase field-lattice Boltzmann method for Neumann boundary condition to study contact line dynamics. (English) Zbl 1284.76278 J. Comput. Phys. 234, 8-32 (2013). MSC: 76M15 76M28 74F10 76T99 PDFBibTeX XMLCite \textit{J. Y. Shao} et al., J. Comput. Phys. 234, 8--32 (2013; Zbl 1284.76278) Full Text: DOI
Yun, Ana; Lee, Soon-Hyuck; Kim, Junseok A phase-field model for articular cartilage regeneration in degradable scaffolds. (English) Zbl 1310.92030 Bull. Math. Biol. 75, No. 12, 2389-2409 (2013). MSC: 92C50 PDFBibTeX XMLCite \textit{A. Yun} et al., Bull. Math. Biol. 75, No. 12, 2389--2409 (2013; Zbl 1310.92030) Full Text: DOI
Wu, Hao; Xu, Xiang Analysis of a diffuse-interface model for the binary viscous incompressible fluids with thermo-induced Marangoni effects. (English) Zbl 1302.35327 Commun. Math. Sci. 11, No. 2, 603-633 (2013). MSC: 35Q35 35K55 76D05 PDFBibTeX XMLCite \textit{H. Wu} and \textit{X. Xu}, Commun. Math. Sci. 11, No. 2, 603--633 (2013; Zbl 1302.35327) Full Text: DOI arXiv
Otto, Felix; Seis, Christian; Slepčev, Dejan Crossover of the coarsening rates in demixing of binary viscous liquids. (English) Zbl 1325.35091 Commun. Math. Sci. 11, No. 2, 441-464 (2013). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K55 35B40 35Q35 35G20 82C24 PDFBibTeX XMLCite \textit{F. Otto} et al., Commun. Math. Sci. 11, No. 2, 441--464 (2013; Zbl 1325.35091) Full Text: DOI
Christlieb, Andrew; Promislov, Keith; Xu, Zhengfu On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method. (English) Zbl 1305.65250 Commun. Math. Sci. 11, No. 2, 345-360 (2013). MSC: 65T50 82C26 65M12 80A22 PDFBibTeX XMLCite \textit{A. Christlieb} et al., Commun. Math. Sci. 11, No. 2, 345--360 (2013; Zbl 1305.65250) Full Text: DOI
Fontelos, Marco A.; Grün, Gunther On uniqueness results for an elliptic-parabolic-system of partial differential equations arising in dynamic electrowetting. (English) Zbl 1432.35172 ZAMM, Z. Angew. Math. Mech. 93, No. 10-11, 777-788 (2013). MSC: 35Q35 35A02 35B65 35M33 76W05 PDFBibTeX XMLCite \textit{M. A. Fontelos} and \textit{G. Grün}, ZAMM, Z. Angew. Math. Mech. 93, No. 10--11, 777--788 (2013; Zbl 1432.35172) Full Text: DOI
Baskaran, A.; Lowengrub, J. S.; Wang, C.; Wise, S. M. Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation. (English) Zbl 1401.82046 SIAM J. Numer. Anal. 51, No. 5, 2851-2873 (2013). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D30 82-08 35G25 65M06 65M12 PDFBibTeX XMLCite \textit{A. Baskaran} et al., SIAM J. Numer. Anal. 51, No. 5, 2851--2873 (2013; Zbl 1401.82046) Full Text: DOI arXiv
Moroşanu, Costică The phase-field transition system with non-homogeneous Cauchy-Stefan-Boltzmann and homogeneous Neumann boundary conditions and non-constant thermal conductivity. (English) Zbl 1325.35090 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 87, 22-32 (2013). Reviewer: Josipa Pina Milišić (Zagreb) MSC: 35K55 35K61 35Q79 82C26 PDFBibTeX XMLCite \textit{C. Moroşanu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 87, 22--32 (2013; Zbl 1325.35090) Full Text: DOI
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. (English) Zbl 1325.35105 J. Differ. Equations 254, No. 11, 4217-4244 (2013). Reviewer: Josipa Pina Milišić (Zagreb) MSC: 35K61 35A01 35A02 74A15 74N25 35K65 35K67 PDFBibTeX XMLCite \textit{P. Colli} et al., J. Differ. Equations 254, No. 11, 4217--4244 (2013; Zbl 1325.35105) Full Text: DOI arXiv
Grandi, Diego A phase field approach to solidification and solute separation in water solutions. (English) Zbl 1294.35150 Z. Angew. Math. Phys. 64, No. 6, 1611-1624 (2013). Reviewer: Trung Thanh Nguyen (Ames) MSC: 35Q56 35Q79 80A22 35Q35 PDFBibTeX XMLCite \textit{D. Grandi}, Z. Angew. Math. Phys. 64, No. 6, 1611--1624 (2013; Zbl 1294.35150) Full Text: DOI
Sun, Pengtao; Zhang, Lixiang; Liu, Chun; Xu, Jinchao Full Eulerian modeling and effective numerical studies for the dynamic fluid-structure interaction problem. (English) Zbl 1408.74051 Li, Jichun (ed.) et al., Recent advances in scientific computing and applications. Eighth international conference on scientific computing and applications, University of Nevada, Las Vegas, NV, USA, April 1–4, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 586, 351-363 (2013). MSC: 74S30 65M60 74F10 76T99 PDFBibTeX XMLCite \textit{P. Sun} et al., Contemp. Math. 586, 351--363 (2013; Zbl 1408.74051) Full Text: DOI
She, Hui; Liu, Yulan; Wang, Biao; Ma, Decai Finite element simulation of phase field model for nanoscale martensitic transformation. (English) Zbl 1311.74129 Comput. Mech. 52, No. 4, 949-958 (2013). MSC: 74S05 PDFBibTeX XMLCite \textit{H. She} et al., Comput. Mech. 52, No. 4, 949--958 (2013; Zbl 1311.74129) Full Text: DOI
Garcke, Harald Curvature driven interface evolution. (English) Zbl 1279.53064 Jahresber. Dtsch. Math.-Ver. 115, No. 2, 63-100 (2013). MSC: 53C44 35K93 35K91 35R35 35K55 49Q20 53A10 80A22 82B24 PDFBibTeX XMLCite \textit{H. Garcke}, Jahresber. Dtsch. Math.-Ver. 115, No. 2, 63--100 (2013; Zbl 1279.53064) Full Text: DOI
Grasselli, Maurizio; Schimperna, Giulio Nonlocal phase-field systems with general potentials. (English) Zbl 1277.35065 Discrete Contin. Dyn. Syst. 33, No. 11-12, 5089-5106 (2013). MSC: 35B41 35Q79 37L30 80A22 PDFBibTeX XMLCite \textit{M. Grasselli} and \textit{G. Schimperna}, Discrete Contin. Dyn. Syst. 33, No. 11--12, 5089--5106 (2013; Zbl 1277.35065) Full Text: DOI arXiv
Shi, Yi; Bao, Kai; Wang, Xiao-Ping 3D adaptive finite element method for a phase field model for the moving contact line problems. (English) Zbl 1273.74549 Inverse Probl. Imaging 7, No. 3, 947-959 (2013). MSC: 74S05 76D45 PDFBibTeX XMLCite \textit{Y. Shi} et al., Inverse Probl. Imaging 7, No. 3, 947--959 (2013; Zbl 1273.74549) Full Text: DOI
Helmers, Michael Kinks in two-phase lipid bilayer membranes. (English) Zbl 1272.49091 Calc. Var. Partial Differ. Equ. 48, No. 1-2, 211-242 (2013). MSC: 49Q10 49J45 74K15 82B26 92C10 PDFBibTeX XMLCite \textit{M. Helmers}, Calc. Var. Partial Differ. Equ. 48, No. 1--2, 211--242 (2013; Zbl 1272.49091) Full Text: DOI arXiv
Franken, Martina; Rumpf, Martin; Wirth, Benedikt A phase field based PDE constrained optimization approach to time discrete Willmore flow. (English) Zbl 1267.53005 Int. J. Numer. Anal. Model. 10, No. 1, 116-138 (2013). MSC: 53A07 53C44 65D18 65M60 53C43 PDFBibTeX XMLCite \textit{M. Franken} et al., Int. J. Numer. Anal. Model. 10, No. 1, 116--138 (2013; Zbl 1267.53005) Full Text: Link
DeSimone, Antonio; Kružík, Martin Domain patterns and hysteresis in phase-transforming solids: analysis and numerical simulations of a sharp interface dissipative model via phase-field approximation. (English) Zbl 1264.74184 Netw. Heterog. Media 8, No. 2, 481-499 (2013). MSC: 74N30 49J45 74D10 74S05 PDFBibTeX XMLCite \textit{A. DeSimone} and \textit{M. Kružík}, Netw. Heterog. Media 8, No. 2, 481--499 (2013; Zbl 1264.74184) Full Text: DOI
Wu, Hao; Xu, Xiang Strong solutions, global regularity, and stability of a hydrodynamic system modeling vesicle and fluid interactions. (English) Zbl 1280.35026 SIAM J. Math. Anal. 45, No. 1, 181-214 (2013). Reviewer: Cheng He (Beijing) MSC: 35D35 35Q35 76D03 35B35 PDFBibTeX XMLCite \textit{H. Wu} and \textit{X. Xu}, SIAM J. Math. Anal. 45, No. 1, 181--214 (2013; Zbl 1280.35026) Full Text: DOI arXiv
Dmitrienko, G. S.; Uvarova, L. A. Modeling of dendritic growth in two dimensions. (English) Zbl 1262.82045 Int. J. Pure Appl. Math. 82, No. 4, 663-668 (2013). MSC: 82D25 82C80 PDFBibTeX XMLCite \textit{G. S. Dmitrienko} and \textit{L. A. Uvarova}, Int. J. Pure Appl. Math. 82, No. 4, 663--668 (2013; Zbl 1262.82045) Full Text: DOI Link
Canevari, Giacomo; Colli, Pierluigi Convergence properties for a generalization of the Caginalp phase field system. (English) Zbl 1278.35163 Asymptotic Anal. 82, No. 1-2, 139-162 (2013). MSC: 35M33 35B65 PDFBibTeX XMLCite \textit{G. Canevari} and \textit{P. Colli}, Asymptotic Anal. 82, No. 1--2, 139--162 (2013; Zbl 1278.35163) Full Text: DOI arXiv
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. (English) Zbl 1277.35201 Discrete Contin. Dyn. Syst., Ser. S 6, No. 2, 353-368 (2013). Reviewer: Dirk Blömker (Augsburg) MSC: 35K51 35B40 35K55 74A15 35A01 35K65 PDFBibTeX XMLCite \textit{P. Colli} et al., Discrete Contin. Dyn. Syst., Ser. S 6, No. 2, 353--368 (2013; Zbl 1277.35201) Full Text: DOI arXiv
Kundin, Julia; Siquieri, Ricardo; Emmerich, Heike A quantitative multi-phase-field modeling of the microstructure evolution in a peritectic Al–Ni alloy. (English) Zbl 1259.82032 Physica D 243, No. 1, 116-127 (2013). MSC: 82B26 82B30 PDFBibTeX XMLCite \textit{J. Kundin} et al., Physica D 243, No. 1, 116--127 (2013; Zbl 1259.82032) Full Text: DOI
Miranville, Alain On the conserved phase-field model. (English) Zbl 1308.35125 J. Math. Anal. Appl. 400, No. 1, 143-152 (2013). MSC: 35K52 35B41 35B30 PDFBibTeX XMLCite \textit{A. Miranville}, J. Math. Anal. Appl. 400, No. 1, 143--152 (2013; Zbl 1308.35125) Full Text: DOI