SIAM Journal on Mathematical Analysis


SIAM J. Math. Anal., 37(3), 996–1026. (31 pages)

Global Solutions of the Hunter--Saxton Equation

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Article Data

History

Published online: 04 August 2006

AMS Subject Headings

35D05, 49J20, 76A15

Publication Data

ISSN (print): 0036-1410
ISSN (online): 1095-7154
Publisher: Society for Industrial and Applied Mathematics
CODEN: sjmaah
Alberto Bressan and Adrian Constantin
https://doi.org/10.1137/050623036

We construct a continuous semigroup of weak, dissipative solutions to a nonlinear partial differential equation modeling nematic liquid crystals. A new distance functional, determined by a problem of optimal transportation, yields sharp estimates on the continuity of solutions with respect to the initial data.

Copyright © 2005 Society for Industrial and Applied Mathematics
Permalink: https://doi.org/10.1137/050623036

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