Evolution of hypersurfaces in central force fields
| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Schnürer, Oliver C.; Smoczyk, Knut |
| Year of publication: | 2002 |
| Published in: | Journal für die reine und angewandte Mathematik ; 2002 (2002), 550. - pp. 77-95. - ISSN 0075-4102. - eISSN 1435-5345 |
| DOI (citable link): | https://dx.doi.org/10.1515/crll.2002.075 |
| Summary: |
We consider flows of hypersurfaces in Rn+1 decreasing the energyinduced byradiallysy mmetric potentials. These flows are similar to the mean curvature flow but di¤erent phenomena occur. We show for a natural class of potentials that hypersurfaces converge smoothlyto a uniquely determined sphere if theysatisfya strengthened starshapedness condition at the beginning.
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| Subject (DDC): | 510 Mathematics |
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SCHNÜRER, Oliver C., Knut SMOCZYK, 2002. Evolution of hypersurfaces in central force fields. In: Journal für die reine und angewandte Mathematik. 2002(550), pp. 77-95. ISSN 0075-4102. eISSN 1435-5345. Available under: doi: 10.1515/crll.2002.075
@article{Schnurer2002-01-26Evolu-41141, title={Evolution of hypersurfaces in central force fields}, year={2002}, doi={10.1515/crll.2002.075}, number={550}, volume={2002}, issn={0075-4102}, journal={Journal für die reine und angewandte Mathematik}, pages={77--95}, author={Schnürer, Oliver C. and Smoczyk, Knut} }
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