TY - JOUR
T1 - Existence of Physical Solutions to the Boundary Value Problem of an Equation in Modeling Oil Film Spreading Over a Solid Surface
JO - Journal of Partial Differential Equations
VL - 4
SP - 335
EP - 346
PY - 1998
DA - 1998/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5574.html
KW - Existence
KW - physical solution
KW - oil film
AB -  A boundary vaJue problem to a fourth order nonlinear degeneraw para-holic equation arising in modeling oil film spreading over a solid surface is studied in the present paper. Basing on the consideration of physical phenomenon describrd by the original model, the authors forcus mainly on the case of two-dimensional space. The existence of nonnegative and radial solutions is established for nonnegative initial datum.