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Multi-Material Optimization of Magnetic Devices Using an Allen-Cahn EquationJAE SEOK CHOI; IZUI, Kazuhiro; NISHIWAKI, Shinji et al.IEEE transactions on magnetics. 2012, Vol 48, Num 11, pp 3579-3582, issn 0018-9464, 4 p.Conference Paper

Stability analysis for Allen-Cahn type equation associated with the total variation energySHIRAKAWA, Ken; KIMURA, Masato.Nonlinear analysis. 2005, Vol 60, Num 2, pp 257-282, issn 0362-546X, 26 p.Article

A modified phase field approximation for mean curvature flow with conservation of the volumeBRASSEL, M; BRETIN, E.Mathematical methods in the applied sciences. 2011, Vol 34, Num 10, pp 1157-1180, issn 0170-4214, 24 p.Article

Front-type solutions of fractional Allen-Cahn equationNEC, Y; NEPOMNYASHCHY, A. A; GOLOVIN, A. A et al.Physica. D. 2008, Vol 237, Num 24, pp 3237-3251, issn 0167-2789, 15 p.Article

Uniqueness and stability of saddle-shaped solutions to the Allen-Cahn equationCABRE, Xavier.Journal de mathématiques pures et appliquées. 2012, Vol 98, Num 3, pp 239-256, issn 0021-7824, 18 p.Article

A phase field model for stem cell differentiationWITTERSTEIN, Gabriele; HOFFMANN, K.-H.Mathematical methods in the applied sciences. 2008, Vol 31, Num 16, pp 1996-2012, issn 0170-4214, 17 p.Article

TRAVELING FRONTS OF PYRAMIDAL SHAPES IN THE ALLEN-CAHN EQUATIONSTANIGUCHI, Masaharu.SIAM journal on mathematical analysis. 2008, Vol 39, Num 1, pp 319-344, issn 0036-1410, 26 p.Article

On the well-posedness of the stochastic Allen-Cahn equation in two dimensionsRYSER, Marc D; NIGAM, Nilima; TUPPER, Paul F et al.Journal of computational physics (Print). 2012, Vol 231, Num 6, pp 2537-2550, issn 0021-9991, 14 p.Article

Mixed states for an allen-cahn type equationRABINOWITZ, Paul H; STREDULINSKY, Ed.Communications on pure and applied mathematics. 2003, Vol 56, Num 8, pp 1078-1134, issn 0010-3640, 57 p.Article

Semimartingale attractors for generalized Allen-Cahn SPDEs driven by space-time white noiseALLOUBA, Hassan; LANGA, José A.Comptes rendus. Mathématique. 2003, Vol 337, Num 3, pp 201-206, issn 1631-073X, 6 p.Article

Stability of the instanton under small random perturbationsBRASSESCO, S.Stochastic processes and their applications. 1994, Vol 54, Num 2, pp 309-330, issn 0304-4149Article

Geometrical image segmentation by the Allen-Cahn equationBENES, Michal; CHALUPECKY, Vladimir; MIKULA, Karol et al.Applied numerical mathematics. 2004, Vol 51, Num 2-3, pp 187-205, issn 0168-9274, 19 p.Article

Maximal attractor for an Ostwald ripening modelDA SILVAA, R. N; BOLDRINI, J. L.Journal of mathematical analysis and applications. 2009, Vol 351, Num 1, pp 107-119, issn 0022-247X, 13 p.Article

On the existence of a solution for a model of stem cell differentiationWITTERSTEIN, Gabriele; HOFFMANN, K.-H.Mathematical methods in the applied sciences. 2008, Vol 31, Num 16, pp 1972-1995, issn 0170-4214, 24 p.Article

Phase transitions and generalized motion by mean curvatureEVANS, L. C; SONER, H. M; SOUGANIDIS, P. E et al.Communications on pure and applied mathematics. 1992, Vol 45, Num 9, pp 1097-1123, issn 0010-3640Article

A conservative phase field method for solving incompressible two-phase flowsCHIU, Pao-Hsiung; LIN, Yan-Ting.Journal of computational physics (Print). 2011, Vol 230, Num 1, pp 185-204, issn 0021-9991, 20 p.Article

Electrochemical modeling of intercalation processes with phase field modelsHAN, B. C; VAN DER VEN, A; MORGAN, D et al.Electrochimica acta. 2004, Vol 49, Num 26, pp 4691-4699, issn 0013-4686, 9 p.Article

Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen-Cahn equationBATES, Peter W; FENGXIN CHEN.Journal of mathematical analysis and applications. 2002, Vol 273, Num 1, pp 45-57, issn 0022-247X, 13 p.Article

Finite element approximation of a degenerate Allen-Cahn/Cahn-Hilliard systemBARRETT, John W; BLOWEY, James F.SIAM journal on numerical analysis. 2002, Vol 39, Num 5, pp 1598-1624, issn 0036-1429Article

Internal layers, small eigenvalues, and the sensitivity of metastable motionWARD, M. J; REYNA, L. G.SIAM journal on applied mathematics (Print). 1995, Vol 55, Num 2, pp 425-445, issn 0036-1399Article

Surface embedding narrow volume reconstruction from unorganized pointsYIBAO LI; DONGSUN LEE; CHAEYOUNG LEE et al.Computer vision and image understanding (Print). 2014, Vol 121, pp 100-107, issn 1077-3142, 8 p.Article

Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limitsXIAOBING FENG; PROHL, Andreas.Mathematics of computation. 2004, Vol 73, Num 246, pp 541-567, issn 0025-5718, 27 p.Article

NUMERICAL STUDIES OF DISCRETE APPROXIMATIONS TO THE ALLEN―CAHN EQUATION IN THE SHARP INTERFACE LIMITJIAN ZHANG; QIANG DU.SIAM journal on scientific computing (Print). 2010, Vol 31, Num 4, pp 3042-3063, issn 1064-8275, 22 p.Article

Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flowsXIAOBING FENG; PROHL, Andreas.Numerische Mathematik. 2003, Vol 94, Num 1, pp 33-65, issn 0029-599X, 33 p.Article

Analysis and applications of the exponential time differencing schemes and their contour integration modificationQIANG DU; WENXIANG ZHU.BIT (Nordisk Tidskrift for Informationsbehandling). 2005, Vol 45, Num 2, pp 307-328, issn 0006-3835, 22 p.Article

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