Mean curvature flow with a forcing term in minkowski space |
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Authors: | Mark A S Aarons |
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Institution: | (1) Albert Einstein Insitut (MPI für Gravitationsphysik) Am Mühlenburg 1, Potsdam 14476, Germany |
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Abstract: | We study the forced mean curvature flow of graphs in Minkowski space and prove longtime existence of solutions. When the forcing
term is a constant, we prove convergence to either a constant mean curvature hypersurface or a translating soliton – depending
on the boundary conditions at infinity.
It is a pleasure to thank my PhD advisors Klaus Ecker and Gerhard Huisken for their assistance and encouragement. I also thank
Maria Athanassenas, Oliver Schnürrer and Marty Ross for their interest and useful comments, and the Max Planck Gesellschaft
for financial support. |
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Keywords: | Mean curvature flow Constant mean curvature hypersurfaces |
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