1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.AP2019
Thresholds for low regularity solutions to wave equations with structural damping
Tomonori Fukushima, Ryo Ikehata, Hironori Michihisa
We study the asymptotic behavior of solutions to wave equations with a structural damping term \[ u_{tt}-Δu+Δ^2 u_t=0, \qquad u(0,x)=u_0(x), \,\,\, u_t(0,x)=u_1(x), \] in the whole…
math.AP2019★ 1 cited
Asymptotic profiles for damped plate equations with rotational inertia terms
Tomonori Fukushima, Ryo Ikehata, Hironori Michihisa
We consider the Cauchy problem for plate equations with rotational inertia and frictional damping terms. We will derive asymptotic profiles of the solution in L^2-sense as time goe…