On a nonlinear coupled system of thermoelastic type with acoustic boundary conditions
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DOI: 10.1007/s40314-015-0236-1
Abstract: This paper deals with the existence, uniqueness, and asymptotic behavior of global solutions for a parabolic–hyperbolic coupled system with both local and nonlocal nonlinearities under mixed nonlinear acoustic boundary conditions. read more here.
Keywords: boundary conditions; acoustic boundary; system thermoelastic; nonlinear coupled ... See more keywords
Sound-structure interaction analysis of an infinite-long cylindrical shell submerged in a quarter water domain and subject to a line-distributed harmonic excitation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Sound and Vibration"
DOI: 10.1016/j.jsv.2018.02.031
Abstract: Abstract The sound-structure coupling problem of a cylindrical shell submerged in a quarter water domain is studied. A semi-analytical method based on the double wave reflection method and the Graf's addition theorem is proposed to… read more here.
Keywords: sound structure; acoustic boundary; cylindrical shell; shell ... See more keywords
Asymptotic behavior for a past history viscoelastic problem with acoustic boundary conditions
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DOI: 10.1080/00036811.2018.1491034
Abstract: ABSTRACT In this paper, we consider a viscoelastic equation of variable coefficients in the presence of infinite memory (past history) with nonlinear damping term and nonlinear delay term in the boundary feedback and acoustic boundary… read more here.
Keywords: past history; term; boundary conditions; acoustic boundary ... See more keywords
Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions
Sign Up to like & getrecommendations! Published in 2017 at "Boundary Value Problems"
DOI: 10.1186/s13661-017-0773-1
Abstract: AbstractWe consider the quasilinear wave equation utt−△ut−div(|∇u|α−2∇u)−div(|∇ut|β−2∇ut)+a|ut|m−2ut=b|u|p−2u$$u_{tt} -\triangle u_{t} -\operatorname{div}\bigl(\vert \nabla u\vert ^{\alpha-2} \nabla u\bigr) - \operatorname{div}\bigl(\vert \nabla u_{t}\vert ^{\beta-2} \nabla u_{t} \bigr) +a \vert u_{t}\vert ^{m-2} u_{t} =b|u|^{p-2} u $$a,b>0$a,b>0$, associated with initial and… read more here.
Keywords: quasilinear wave; global nonexistence; boundary conditions; acoustic boundary ... See more keywords