On a non-local perimeter-preserving curve evolution problem for convex plane curves

From MaRDI portal
Publication:1003142

DOI10.1007/s00229-008-0211-xzbMath1169.35033OpenAlexW2056460021MaRDI QIDQ1003142

Juanna Yang, Shengliang Pan

Publication date: 26 February 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0211-x



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (35)

On a nonlocal contracting flow for closed convex plane curvesOn a logarithmic type nonlocal plane curve flowGlobal existence of solutions of area-preserving curvature flow of a convex plane curve in an inhomogeneous mediumAN AREA-PRESERVING FLOW FOR CLOSED CONVEX PLANE CURVESA family of evolution equations connecting area-preserving to length-preserving curve flowsOn flows that preserve parallel curves and their formation of singularitiesEvolving convex curves to constant \(k\)-order width ones by a perimeter-preserving flowCurvature bound for a curve flow with a prescribed rate of change in enclosed areaConstruction of several second- and fourth-order geometric partial differential equations for space curvesOn a length-preserving inverse curvature flow of convex closed plane curvesNonlocal flow driven by the radius of curvature with fixed curvature integralA new isoperimetric-type inequality and its stabilityApplication of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curvesSnapshots of non-local constrained mean curvature-type flowsThe reverse isoperimetric inequality for convex plane curves through a length-preserving flowOn an area-preserving inverse curvature flow of convex closed plane curvesOn a length preserving curve flowA non-local expanding flow of convex closed curves in the planeOn a planar area-preserving curvature flowArea-preserving evolution of nonsimple symmetric plane curvesLength-preserving evolution of non-simple symmetric plane curvesBlow-up rates for the general curve shortening flowON A CURVE EXPANDING FLOW WITH A NON-LOCAL TERMOn a family of inverse curvature flows for closed convex plane curvesOn length-preserving and area-preserving nonlocal flow of convex closed plane curvesA non-local area preserving curve flowOn a class of generalized curve flows for planar convex curvesOn a non-local area-preserving curvature flow in the planeEvolving compact locally convex curves and convex hypersurfacesA note on the isoperimetric deficitMaximum curvature for curves in manifolds of sectional curvature at most zero or oneEvolving a convex closed curve to another one via a length-preserving linear flowAn extension of Rabinowitz's polynomial representation for convex curvesRepresentation formulae for higher order curvature flowsStationary solutions of an area-preserving curvature flow in an inhomogeneous medium



Cites Work


This page was built for publication: On a non-local perimeter-preserving curve evolution problem for convex plane curves