Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Sun-Hye Park"'
Autor:
Zayd Hajjej, Sun-Hye Park
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 24087-24115 (2023)
In this paper, a quasi-linear viscoelastic Kirchhoff plate equation with logarithmic source and time delay involving free boundary conditions in a bounded domain is considered. The local existence and global existence are proved, respectively. Under
Externí odkaz:
https://doaj.org/article/80f37e21b864435a8fc2a7b945c2c7bd
General decay for a viscoelastic von Karman equation with delay and variable exponent nonlinearities
Autor:
Sun-Hye Park
Publikováno v:
Boundary Value Problems, Vol 2022, Iss 1, Pp 1-29 (2022)
Abstract In this paper, we consider a viscoelastic von Karman equation with damping, delay, and source effects of variable exponent type. Firstly, we show the global existence of solution applying the potential well method. Then, by making use of the
Externí odkaz:
https://doaj.org/article/15752e31e7a748108fca64c132eea67e
Autor:
Sun-Hye Park
Publikováno v:
Boundary Value Problems, Vol 2021, Iss 1, Pp 1-14 (2021)
Abstract In this article, we deal with a strongly damped von Karman equation with variable exponent source and memory effects. We investigate blow-up results of solutions with three levels of initial energy such as non-positive initial energy, certai
Externí odkaz:
https://doaj.org/article/190b21e186134fd589c3c17d37cbcaca
Autor:
Sun-Hye Park
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-14 (2021)
Abstract In this work, we investigate blowup phenomena for nonlinearly damped viscoelastic equations with logarithmic source effect and time delay in the velocity. Owing to the nonlinear damping term instead of strong or linear dissipation, we cannot
Externí odkaz:
https://doaj.org/article/650d14806a0d4c3da379f57e4614bf8f
Autor:
Sun-Hye Park
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-17 (2020)
Abstract In this paper, we study the wave equation with frictional damping, time delay in the velocity, and logarithmic source of the form u t t ( x , t ) − Δ u ( x , t ) + α u t ( x , t ) + β u t ( x , t − τ ) = u ( x , t ) ln | u ( x , t )
Externí odkaz:
https://doaj.org/article/004df1833ebb4abebfbb4193490f6499
Autor:
Tae Gab Ha, Sun-Hye Park
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-17 (2020)
Abstract In this paper we consider the initial boundary value problem for a viscoelastic wave equation with strong damping and logarithmic nonlinearity of the form u t t ( x , t ) − Δ u ( x , t ) + ∫ 0 t g ( t − s ) Δ u ( x , s ) d s − Δ u
Externí odkaz:
https://doaj.org/article/0f56ffa798d14b3da6aa1d95dae7f271
Publikováno v:
Boundary Value Problems, Vol 2019, Iss 1, Pp 1-11 (2019)
Abstract In this paper, we consider the blow-up result of solution for a quasilinear viscoelastic wave equation with strong damping and boundary nonlinear damping. We prove a finite time blow-up result of solution with positive initial energy as well
Externí odkaz:
https://doaj.org/article/530846f684cd43588a16b75a5ded947d
Autor:
Sun-Hye Park, Jum-Ran Kang
Publikováno v:
Boundary Value Problems, Vol 2017, Iss 1, Pp 1-17 (2017)
Abstract We consider a weak viscoelastic Kirchhoff plate model with time-varying delay in the boundary. By using a suitable energy and Lyapunov function, we obtain a decay rate for the energy, which depends on the behavior of g and α.
Externí odkaz:
https://doaj.org/article/c91c1af9226d425b8239874074aeb46f
Autor:
Sun‐Hye Park
Publikováno v:
Mathematical Methods in the Applied Sciences. 46:8632-8645
Autor:
Sun Hye Park
Publikováno v:
Mathematical Methods in the Applied Sciences.