TY - JOUR
T1 - The Cauchy problem for a tenth-order thin film equation I. Bifurcation of oscillatory fundamental solutions
AU - Álvarez-Caudevilla, Pablo
AU - Evans, Jonathan D.
AU - Galaktionov, Victor A.
PY - 2013/11
Y1 - 2013/11
N2 - Fundamental global similarity solutions of the tenth-order thin film equation
ut=∇.(|u|n∇Δ4u) in RN ×+, where n > 0 are studied. The main approach consists in passing to the limit n→0+ by using Hermitian non-self-adjoint spectral theory corresponding to the rescaled linear poly-harmonic equation
ut =Δ5ut in RN ×R+ .
AB - Fundamental global similarity solutions of the tenth-order thin film equation
ut=∇.(|u|n∇Δ4u) in RN ×+, where n > 0 are studied. The main approach consists in passing to the limit n→0+ by using Hermitian non-self-adjoint spectral theory corresponding to the rescaled linear poly-harmonic equation
ut =Δ5ut in RN ×R+ .
UR - http://www.scopus.com/inward/record.url?scp=84874148604&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1007/s00009-013-0263-3
U2 - 10.1007/s00009-013-0263-3
DO - 10.1007/s00009-013-0263-3
M3 - Article
SN - 1660-5446
VL - 10
SP - 1761
EP - 1792
JO - Mediterranean Journal of Mathematics
JF - Mediterranean Journal of Mathematics
IS - 4
ER -