most citedAsymptotic behavior of solutions to the Cauchy problem for 1-D p-system with space dependent damping

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math.AP2023★ 1 cited

Asymptotic behavior of solutions to the Cauchy problem for 1-D p-system with space dependent damping

Akitaka Matsumura, Kenji Nishihara

We consider the Cauchy problem for one-dimensional p-system with damping of space-dependent coefficient. This system models the compressible flow through porous media in the Lagran…

math.AP2018

Critical exponent for the semilinear wave equations with a damping increasing in the far field

Kenji Nishihara, Motohiro Sobajima, Yuta Wakasugi

We consider the Cauchy problem of the semilinear wave equation with a damping term \begin{align*} u_{tt} - Δu + c(t,x) u_t = |u|^p, \quad (t,x)\in (0,\infty)\times \mathbb{R}^N,\qu…