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Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term 

SN Partial Differential Equations and Applications 1(6) 1-26 2020年10月15日  査読有り

Singular limit of the porous medium equation with a drift 

ADVANCES IN MATHEMATICS 349 682-732 2019年6月  査読有り

An efficient numerical method for estimating the average free boundary velocity in an inhomogeneous Hele-Shaw problem 

The Science Reports of Kanazawa University 62 69-86 2019年4月  査読有り

A numerical level set method for the Stefan problem with a crystalline Gibbs-Thomson law 

京都大学数理解析研究所講究録 2094 137-145 2018年11月  招待有り

LONG-TIME BEHAVIOR OF THE ONE-PHASE STEFAN PROBLEM IN PERIODIC AND RANDOM MEDIA 

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 11(5) 991-1010 2018年10月  査読有り

Approximation of General Facets by Regular Facets with Respect to Anisotropic Total Variation Energies and Its Application to Crystalline Mean Curvature Flow 

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 71(7) 1461-1491 2018年7月  査読有り

POROUS MEDIUM EQUATION TO HELE-SHAW FLOW WITH GENERAL INITIAL DENSITY 

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 370(2) 873-909 2018年2月  査読有り

A LEVEL SET CRYSTALLINE MEAN CURVATURE FLOW OF SURFACES 

ADVANCES IN DIFFERENTIAL EQUATIONS 21(7-8) 631-698 2016年7月  査読有り

Homogenization of the Hele-Shaw Problem in Periodic Spatiotemporal Media 

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 217(1) 155-230 2015年7月  査読有り

Periodic total variation flow of non-divergence type in R-n 

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 102(1) 203-233 2014年7月  査読有り

Nonlinear Elliptic-Parabolic Problems 

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 210(3) 975-1020 2013年12月  査読有り

Viscosity Solutions for the Two-Phase Stefan Problem 

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 36(1) 42-66 2011年  査読有り

Long-time behavior of a Hele-Shaw type problem in random media 

INTERFACES AND FREE BOUNDARIES 13(3) 373-395 2011年  査読有り