@Article{AAM-35-2,
author = {Shixia, Lv and Zenggui, Wang},
title = {The Cauchy Problems for Dissipative Hyperbolic Mean Curvature Flow},
journal = {Annals of Applied Mathematics},
year = {2019},
volume = {35},
number = {2},
pages = {159--179},
abstract = {<p style="text-align: justify;">In this paper, we investigate initial value problems for hyperbolic mean
curvature flow with a dissipative term. By means of support functions of
a convex curve, a hyperbolic Monge-Ampère equation is derived, and this
equation could be reduced to the first order quasilinear systems in Riemann
invariants. Using the theory of the local solutions of Cauchy problems for
quasilinear hyperbolic systems, we discuss lower bounds on life-span of classical
solutions to Cauchy problems for dissipative hyperbolic mean curvature flow.<br/></p>},
issn = {},
doi = {https://doi.org/2019-AAM-18075},
url = {https://global-sci.com/article/72693/the-cauchy-problems-for-dissipative-hyperbolic-mean-curvature-flow}
}