GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR THE CAUCHY PROBLEM OF A DISSIPATIVE BOUSSINESQ-TYPE EQUATION
2017 ◽
Vol 22
(4)
◽
pp. 441-463
◽
Keyword(s):
We consider the Cauchy problem for a Boussinesq-type equation modeling bidirectional surface waves in a convecting fluid. Under small condition on the initial value, the existence and asymptotic behavior of global solutions in some time weighted spaces are established by the contraction mapping principle.
Keyword(s):
2004 ◽
Vol 83
(12)
◽
pp. 1457-1500
◽
2011 ◽
Vol 54
(2)
◽
pp. 381-400
◽
2004 ◽
Vol 83
(12)
◽
pp. 1457-1500
◽
2021 ◽
Keyword(s):