Stability of vibrations for some Kirchhoff equation with dissipation
نویسندگان
چکیده
منابع مشابه
Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation
The first objective of this paper is to prove the existence and uniqueness of global solutions for a Kirchhoff-type wave equation with nonlinear dissipation of the form Ku'' + M(|A (1/2) u|(2))Au + g(u') = 0 under suitable assumptions on K, A, M(·), and g(·). Next, we derive decay estimates of the energy under some growth conditions on the nonlinear dissipation g. Lastly, numerical simulations ...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 2014
ISSN: 0862-7940,1572-9109
DOI: 10.1007/s10492-014-0050-x