Geometric expansion of convex plane curves. Zbl 0872.58052
Chow, Bennett; Tsai, Dong-Ho |
|
1996
|
Application of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curves. Zbl 1266.53062
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2012
|
Expansion of convex hypersurfaces by nonhomogeneous functions of curvature. Zbl 0911.53004
Chow, Bennett; Tsai, Dong-Ho |
|
1997
|
On length-preserving and area-preserving nonlocal flow of convex closed plane curves. Zbl 1339.53066
Tsai, Dong-Ho; Wang, Xiao-Liu |
|
2015
|
On a simple maximum principle technique applied to equations on the circle. Zbl 1154.35012
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2008
|
Nonhomogeneous Gauss curvature flows. Zbl 0952.53032
Chow, Bennett; Tsai, Dong-Ho |
|
1998
|
Evolving a convex closed curve to another one via a length-preserving linear flow. Zbl 1187.35119
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2009
|
Expansion of embedded curves with turning angle greater than \(-\pi\). Zbl 0858.53001
Chow, Bennett; Liou, Lii-Perng; Tsai, Dong-Ho |
|
1996
|
On an area-preserving inverse curvature flow of convex closed plane curves. Zbl 1458.53096
Gao, Laiyuan; Pan, Shengliang; Tsai, Dong-Ho |
|
2021
|
Expanding convex immersed closed plane curves. Zbl 1177.35114
Lin, Tai-Chia; Poon, Chi-Cheung; Tsai, Dong-Ho |
|
2009
|
Geometric expansion of starshaped plane curves. Zbl 0938.35073
Tsai, Dong-Ho |
|
1996
|
Contracting convex immersed closed plane curves with slow speed of curvature. Zbl 1279.53066
Lin, Yu-Chu; Poon, Chi-Cheung; Tsai, Dong-Ho |
|
2012
|
Asymptotic closeness to limiting shapes for expanding embedded plane curves. Zbl 1083.35040
Tsai, Dong-Ho |
|
2005
|
The evolution of nonlocal curvature flow arising in a Hele-Shaw problem. Zbl 1392.35334
Tsai, Dong-Ho; Wang, Xiao-Liu |
|
2018
|
Behavior of the gradient for solutions of parabolic equations on the circle. Zbl 1163.35403
Tsai, Dong-Ho |
|
2005
|
Convex curves moving translationally in the plane. Zbl 1098.35080
Nien, Chia-Hsing; Tsai, Dong-Ho |
|
2006
|
On a length-preserving inverse curvature flow of convex closed plane curves. Zbl 1440.53107
Gao, Laiyuan; Pan, Shengliang; Tsai, Dong-Ho |
|
2020
|
\(C^{2,\alpha}\) estimate of a parabolic Monge-Ampère equation on \(S^{n}\). Zbl 1036.35107
Tsai, Dong-Ho |
|
2003
|
Contracting convex immersed closed plane curves with fast speed of curvature. Zbl 1216.53061
Poon, Chi-Cheung; Tsai, Dong-Ho |
|
2010
|
On the nonlinear parabolic equation \(\partial_ t u=F(\Delta u+nu)\) on \(S^ n\). Zbl 0874.58078
Chow, Bennett; Liou, Lii-Perng; Tsai, Dong-Ho |
|
1996
|
On a nonlinear parabolic equation arising from anisotropic plane curve evolution. Zbl 1308.53102
Poon, Chi-Cheung; Tsai, Dong-Ho |
|
2015
|
Blowup behavior of an equation arising from plane-curves expansion. Zbl 1150.35426
Tsai, Dong-Ho |
|
2004
|
Evolution of locally convex closed curves in the area-preserving and length-preserving curvature flows. Zbl 1459.53082
Sesum, Natasa; Tsai, Dong-Ho; Wang, Xiao-Liu |
|
2020
|
On the oscillation behavior of solutions to the heat equation on \(\mathbb{R}^n\). Zbl 1431.35052
Chang, Mao-Sheng; Tsai, Dong-Ho |
|
2020
|
Blowup and convergence of expanding immersed convex plane curves. Zbl 0991.53042
Tsai, Dong-Ho |
|
2000
|
On flows that preserve parallel curves and their formation of singularities. Zbl 1396.53092
Tsai, Dong-Ho |
|
2018
|
Using Aleksandrov reflection to estimate the location of the center of expansion. Zbl 1184.35165
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2010
|
On a third order flow of convex closed plane curves. Zbl 1357.53008
Gao, Laiyuan; Tsai, Dong-Ho |
|
2016
|
On space-time periodic solutions of the one-dimensional heat equation. Zbl 1439.35188
Tsai, Dong-Ho; Nien, Chia-Hsing |
|
2020
|
On some simple methods to derive the hairclip and paperclip solutions of the curve shortening flow. Zbl 1499.53014
Tsai, Dong-Ho; Wang, Xiaoliu |
|
2019
|
On the oscillation behavior of solutions to the one-dimensional heat equation. Zbl 1415.35144
Tsai, Dong-Ho; Nien, Chia-Hsing |
|
2019
|
Nonlocal flow driven by the radius of curvature with fixed curvature integral. Zbl 1508.53096
Gao, Laiyuan; Pan, Shengliang; Tsai, Dong-Ho |
|
2020
|
On the formation of singularities in the curve expanding flow. Zbl 1009.53005
Tsai, Dong-Ho |
|
2002
|
Expanding embedded plane curves. Zbl 1075.53065
Tsai, Dong-Ho |
|
2005
|
Asymptotic behavior of the isoperimetric deficit for expanding convex plane curves. Zbl 1319.52002
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2014
|
On some simple examples of non-parabolic curve flows in the plane. Zbl 1342.35044
Lin, Yu-Chu; Tsai, Dong-Ho; Wang, Xiao-Liu |
|
2015
|
Remarks on some isoperimetric properties of the \(k - 1\) flow. Zbl 1257.53096
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2012
|
On an area-preserving inverse curvature flow of convex closed plane curves. Zbl 1458.53096
Gao, Laiyuan; Pan, Shengliang; Tsai, Dong-Ho |
|
2021
|
On a length-preserving inverse curvature flow of convex closed plane curves. Zbl 1440.53107
Gao, Laiyuan; Pan, Shengliang; Tsai, Dong-Ho |
|
2020
|
Evolution of locally convex closed curves in the area-preserving and length-preserving curvature flows. Zbl 1459.53082
Sesum, Natasa; Tsai, Dong-Ho; Wang, Xiao-Liu |
|
2020
|
On the oscillation behavior of solutions to the heat equation on \(\mathbb{R}^n\). Zbl 1431.35052
Chang, Mao-Sheng; Tsai, Dong-Ho |
|
2020
|
On space-time periodic solutions of the one-dimensional heat equation. Zbl 1439.35188
Tsai, Dong-Ho; Nien, Chia-Hsing |
|
2020
|
Nonlocal flow driven by the radius of curvature with fixed curvature integral. Zbl 1508.53096
Gao, Laiyuan; Pan, Shengliang; Tsai, Dong-Ho |
|
2020
|
On some simple methods to derive the hairclip and paperclip solutions of the curve shortening flow. Zbl 1499.53014
Tsai, Dong-Ho; Wang, Xiaoliu |
|
2019
|
On the oscillation behavior of solutions to the one-dimensional heat equation. Zbl 1415.35144
Tsai, Dong-Ho; Nien, Chia-Hsing |
|
2019
|
The evolution of nonlocal curvature flow arising in a Hele-Shaw problem. Zbl 1392.35334
Tsai, Dong-Ho; Wang, Xiao-Liu |
|
2018
|
On flows that preserve parallel curves and their formation of singularities. Zbl 1396.53092
Tsai, Dong-Ho |
|
2018
|
On a third order flow of convex closed plane curves. Zbl 1357.53008
Gao, Laiyuan; Tsai, Dong-Ho |
|
2016
|
On length-preserving and area-preserving nonlocal flow of convex closed plane curves. Zbl 1339.53066
Tsai, Dong-Ho; Wang, Xiao-Liu |
|
2015
|
On a nonlinear parabolic equation arising from anisotropic plane curve evolution. Zbl 1308.53102
Poon, Chi-Cheung; Tsai, Dong-Ho |
|
2015
|
On some simple examples of non-parabolic curve flows in the plane. Zbl 1342.35044
Lin, Yu-Chu; Tsai, Dong-Ho; Wang, Xiao-Liu |
|
2015
|
Asymptotic behavior of the isoperimetric deficit for expanding convex plane curves. Zbl 1319.52002
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2014
|
Application of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curves. Zbl 1266.53062
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2012
|
Contracting convex immersed closed plane curves with slow speed of curvature. Zbl 1279.53066
Lin, Yu-Chu; Poon, Chi-Cheung; Tsai, Dong-Ho |
|
2012
|
Remarks on some isoperimetric properties of the \(k - 1\) flow. Zbl 1257.53096
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2012
|
Contracting convex immersed closed plane curves with fast speed of curvature. Zbl 1216.53061
Poon, Chi-Cheung; Tsai, Dong-Ho |
|
2010
|
Using Aleksandrov reflection to estimate the location of the center of expansion. Zbl 1184.35165
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2010
|
Evolving a convex closed curve to another one via a length-preserving linear flow. Zbl 1187.35119
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2009
|
Expanding convex immersed closed plane curves. Zbl 1177.35114
Lin, Tai-Chia; Poon, Chi-Cheung; Tsai, Dong-Ho |
|
2009
|
On a simple maximum principle technique applied to equations on the circle. Zbl 1154.35012
Lin, Yu-Chu; Tsai, Dong-Ho |
|
2008
|
Convex curves moving translationally in the plane. Zbl 1098.35080
Nien, Chia-Hsing; Tsai, Dong-Ho |
|
2006
|
Asymptotic closeness to limiting shapes for expanding embedded plane curves. Zbl 1083.35040
Tsai, Dong-Ho |
|
2005
|
Behavior of the gradient for solutions of parabolic equations on the circle. Zbl 1163.35403
Tsai, Dong-Ho |
|
2005
|
Expanding embedded plane curves. Zbl 1075.53065
Tsai, Dong-Ho |
|
2005
|
Blowup behavior of an equation arising from plane-curves expansion. Zbl 1150.35426
Tsai, Dong-Ho |
|
2004
|
\(C^{2,\alpha}\) estimate of a parabolic Monge-Ampère equation on \(S^{n}\). Zbl 1036.35107
Tsai, Dong-Ho |
|
2003
|
On the formation of singularities in the curve expanding flow. Zbl 1009.53005
Tsai, Dong-Ho |
|
2002
|
Blowup and convergence of expanding immersed convex plane curves. Zbl 0991.53042
Tsai, Dong-Ho |
|
2000
|
Nonhomogeneous Gauss curvature flows. Zbl 0952.53032
Chow, Bennett; Tsai, Dong-Ho |
|
1998
|
Expansion of convex hypersurfaces by nonhomogeneous functions of curvature. Zbl 0911.53004
Chow, Bennett; Tsai, Dong-Ho |
|
1997
|
Geometric expansion of convex plane curves. Zbl 0872.58052
Chow, Bennett; Tsai, Dong-Ho |
|
1996
|
Expansion of embedded curves with turning angle greater than \(-\pi\). Zbl 0858.53001
Chow, Bennett; Liou, Lii-Perng; Tsai, Dong-Ho |
|
1996
|
Geometric expansion of starshaped plane curves. Zbl 0938.35073
Tsai, Dong-Ho |
|
1996
|
On the nonlinear parabolic equation \(\partial_ t u=F(\Delta u+nu)\) on \(S^ n\). Zbl 0874.58078
Chow, Bennett; Liou, Lii-Perng; Tsai, Dong-Ho |
|
1996
|
