1 citations · 2 across the 4 of their papers we have counts for
7 papers
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…
Study of semi-linear -evolution equations with frictional and visco-elastic damping
Hironori Michihisa, Tuan Anh Dao
In this article, we study semi-linear -evolution equations with double damping including frictional and visco-elastic damping for any . We are interested in investigatin…
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…
Remarks on decay effects of regularity loss type wave equations with structural damping terms
Hironori Michihisa
After GGH model was proposed by M. Ghisi, M. Gobbino and A. Haraux (2016), R. Ikehata and S. Iyota (2018) showed decay estimates for the total energy of solutions to GGH equations…
Optimal leading term of solutions to wave equations with strong damping terms
Hironori Michihisa
We analyze the asymptotic behavior of solutions to wave equations with strong damping terms. If the initial data belong to suitable weighted spaces, lower bounds for the diff…
Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms
Ryo Ikehata, Hironori Michihisa
In this report we obtain higher order asymptotic expansions of solutions to wave equations with frictional and viscoelastic damping terms. Although the diffusion phenomena are domi…