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Yoshihiro Tonegawa
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Year
Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory
JE Hutchinson, Y Tonegawa
Calculus of Variations and Partial Differential Equations 10, 49-84, 2000
2362000
Existence an regularity of constant mean curvature hypersurfaces in hyperbolic space
Y Tonegawa
Mathematische Zeitschrift 221, 591-615, 1996
771996
A general regularity theory for weak mean curvature flow
K Kasai, Y Tonegawa
Calculus of Variations and Partial Differential Equations 50 (1), 1-68, 2014
742014
On the mean curvature flow of grain boundaries
L Kim, Y Tonegawa
Annales de l'Institut Fourier 67 (1), 43-142, 2017
662017
Stable phase interfaces in the van der Waals–Cahn–Hilliard theory
Y Tonegawa, N Wickramasekera
Journal für die reine und angewandte Mathematik (Crelles Journal) 2012 (668 …, 2012
652012
Convergence of phase-field approximations to the Gibbs–Thomson law
M Röger, Y Tonegawa
Calculus of Variations and Partial Differential Equations 32, 111-136, 2008
642008
Phase field model with a variable chemical potential
Y Tonegawa
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 132 (4 …, 2002
632002
On the convergence of stable phase transitions
P Padilla, Y Tonegawa
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1998
591998
Integrality of varifolds in the singular limit of reaction-diffusion equations
Y Tonegawa
Hiroshima mathematical journal 33 (3), 323-341, 2003
582003
Convergence of the Allen--Cahn equation with Neumann boundary conditions
M Mizuno, Y Tonegawa
SIAM Journal on Mathematical Analysis 47 (3), 1906-1932, 2015
572015
A second derivative Hölder estimate for weak mean curvature flow
Y Tonegawa
Advances in Calculus of Variations 7 (1), 91-138, 2014
522014
On stable critical points for a singular perturbation problem
Y Tonegawa
Communications in Analysis and Geometry 13 (2), 439-459, 2005
492005
Brakke's Mean Curvature Flow: An Introduction
Y Tonegawa
Springer, 2019
462019
Existence and regularity of mean curvature flow with transport term in higher dimensions
K Takasao, Y Tonegawa
Mathematische Annalen 364 (3), 857-935, 2016
442016
Sharp-interface limit of the Allen-Cahn action functional in one space dimension
RV Kohn, MG Reznikoff, Y Tonegawa
Calculus of variations and partial differential equations 25, 503-534, 2006
442006
A singular perturbation problem with integral curvature bound
Y Nagase, Y Tonegawa
Hiroshima mathematical journal 37 (3), 455-489, 2007
412007
Higher energy solutions in the theory of phase transitions: a variational approach
G Flores, P Padilla, Y Tonegawa
Journal of Differential Equations 169 (1), 190-207, 2001
372001
A diffused interface whose chemical potential lies in a Sobolev space
Y Tonegawa
Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 4 (3), 487-510, 2005
272005
On the existence of mean curvature flow with transport term
C Liu, N Sato, Y Tonegawa
Interfaces and Free Boundaries 12 (2), 251-277, 2010
262010
Coupled instabilities of surface crease and bulk bending during fast free swelling of hydrogels
R Takahashi, Y Ikura, DR King, T Nonoyama, T Nakajima, T Kurokawa, ...
Soft Matter 12 (23), 5081-5088, 2016
232016
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