Ancient solutions for flow by powers of the curvature in R²

Citation

• Bourni, T., Clutterbuck, J., Nguyen, X. H., Stancu, A., Wei, G., & Wheeler, V. M. (2022). Ancient solutions for flow by powers of the curvature in R². Calculus of Variations and Partial Differential Equations, 61(2). doi:10.1007/s00526-021-02145-9

Digital Object Identifier (doi)

• 10.1007/s00526-021-02145-9

Scopus Eid

• 2-s2.0-85124389148

Web Of Science Accession Number

• WOS:000752536000007

Volume

• 61

Issue

• 2

Place Of Publication

Abstract

• We construct a new compact convex embedded ancient solution of the ���� flow in R2, �����(12,1) that lies between two parallel lines. Using this solution we classify all convex ancient solutions of the ���� flow in R2, for �����(23,1). Moreover, we show that any non-compact convex embedded ancient solution of the ���� flow in R2, �����(12,1) must be a translating solution.

UOW Authors

•   Wheeler, V.-M

Publication Date

• 2022

Publisher

• Springer Science and Business Media LLC 

Published In

• Calculus of Variations and Partial Differential Equations  Journal

Citation

• Bourni, T., Clutterbuck, J., Nguyen, X. H., Stancu, A., Wei, G., & Wheeler, V. M. (2022). Ancient solutions for flow by powers of the curvature in R². Calculus of Variations and Partial Differential Equations, 61(2). doi:10.1007/s00526-021-02145-9

Digital Object Identifier (doi)

• 10.1007/s00526-021-02145-9

Scopus Eid

• 2-s2.0-85124389148

Web Of Science Accession Number

• WOS:000752536000007

Volume

• 61

Issue

• 2

Place Of Publication