Preprint server: Anisotropy
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[BPP13](R54)
- G. Bellettini ,
M. Paolini , and
F. Pasquarelli,
Nonconvex mean curvature flow as a formal singular limit of
the nonlinear bidomain model,
Adv. Differential Equations,
18 (2013),
895--934.
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[Pao11](C28)
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M. Paolini ,
Nonconvex anisotropy and the bidomain model,
Proc. Geometric Partial Differential Equations: Theory,
Numerics and Applications
(Oberwolfach, 2011),
Oberwolfach Reports,
54 (2011),
52--54.
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[NoPa07](R44)
- M. Novaga and
M. Paolini ,
Nonuniqueness for crystalline curvature flow,
Math. Models Methods Appl. Sci.,
17 (2007),
1307--1315.
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[Pao05](C26)
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M. Paolini ,
Capillarity and calibrability of sets in crystalline mean curvature flow,
Oberwolfach Reports,
2 (2005),
560--562.
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[Pao02](LN1)
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M. Paolini ,
From the Stefan problem to crystalline evolution,
FM-DM Lecture notes, Warsaw, july 2002 (2002),
1--31.
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[PaPa02](C25)
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M. Paolini and
F. Pasquarelli,
Unstable Crystalline Wulff Shapes in 3D,
Proceedings Variational methods for discontinuous structures, Progress in Nonlinear Differential Equations and Their Applications 51,
Birkhauser,
Basel (2002),
141--153.
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[GPR01](R42)
- Y. Giga ,
M. Paolini , and P. Rybka ,
On the motion by singular interfacial energy,
Japan J. Indust. Appl. Math.,
18 (2001),
47--64.
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[BNP01b](R41)
- G. Bellettini , M. Novaga , and
M. Paolini ,
On a crystalline variational problem, part II:
$BV$-regularity and structure of minimizers on facets,
Arch. Ration. Mech. Anal.,
3 (2001),
193--217.
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[BNP01c](R40)
- G. Bellettini , M. Novaga , and
M. Paolini ,
Characterization of facet--breaking for nonsmooth mean
curvature flow in the convex case,
Interfaces and Free Boundaries,
3 (2001),
415--446.
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[PaPa00](C24)
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M. Paolini and
F. Pasquarelli,
Numerical simulation of crystalline curvature
flow in 3D by interface diffusion,
Free Boundary Problems: theory and applications II, GAKUTO Internat. Ser. Math. Sci. Appl. 14
(N. Kenmochi ed.),
Gakk\"otosho,
Tokyo (2000),
376--389.
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[BNP01a](R38)
- G. Bellettini , M. Novaga , and
M. Paolini ,
On a crystalline variational problem, part I:
first variation and global $L^\infty$-regularity,
Arch. Ration. Mech. Anal.,
3 (2001),
165--191.
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[BNP99](R37)
- G. Bellettini , M. Novaga , and
M. Paolini ,
Facet-breaking for three dimensional crystals
evolving by mean curvature,
Interfaces and Free Boundaries,
1 (1999),
39--55.
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[Pao98](C23)
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M. Paolini ,
Fattening in two dimensions obtained with a
nonsymmetric anisotropy: numerical simulations,
Acta Math. Univ. Comenianae,
67 (1998),
43--55.
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[FGP98](R34)
- F. Fierro , R. Goglione, and
M. Paolini ,
Numerical simulations of mean curvature flow
in presence of a nonconvex anisotropy,
Math. Models Methods Appl. Sci.,
4 (1998),
573--601.
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[BCP97](R33)
- G. Bellettini , P. Colli Franzone , and
M. Paolini ,
Convergence of front propagation for anisotropic
bistable reaction-diffusion equations,
Asymptot. Anal.,
15 (1997),
325--358.
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[GoPa96](C22)
- R. Goglione and
M. Paolini ,
Numerical simulations of crystalline motion by
mean curvature with Allen-Cahn relaxation,
Free boundary problems, theory and applications, Pitman Res. Notes Math. Ser., 363
(M. Niezg\'odka and P. Strzelecki, eds.),
Longman Scientific \& Technical,
Harlow (1996),
203--216.
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[EPS96](R32)
- C.M. Elliott ,
M. Paolini , and R. Sch\"atzle ,
Interface estimates for the fully anisotropic Allen-Cahn
equation and anisotropic mean curvature flow,
Math. Models Methods Appl. Sci.,
6 (1996),
1103--1118.
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[Pao95](C21)
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M. Paolini ,
An efficient algorithm for computing
anisotropic evolution by mean curvature,
Curvature Flows and Related Topics, GAKUTO Internat. Ser. Math. Sci. Appl. 5
(A. Damlamian {\it et al.}, eds.),
Gakk\"otosho,
Tokyo (1995),
199--213.
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[FGP94](R29)
- F. Fierro , R. Goglione, and
M. Paolini ,
Finite element minimization of curvature
functionals with anisotropy,
Calcolo,
3-4 (1994),
191--210.
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[BePa96b](R28)
- G. Bellettini and
M. Paolini ,
Anisotropic motion by mean curvature
in the context of Finsler geometry,
Hokkaido Math. J.,
25 (1996),
537--566.
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[BPV96](R25)
- G. Bellettini ,
M. Paolini , and S. Venturini,
Some results on surface measures in Calculus of Variations,
Ann. Mat. Pura Appl.,
170 (1996),
329--359.
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[BePa94a](R20)
- G. Bellettini and
M. Paolini ,
Convex approximations of an inhomogeneous anisotropic
functional,
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. (9) Mat. Appl.,
5 (1994),
177--187.
MP
Mar 03, 24