Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Yadong Shang"'
Autor:
Xiaoming Peng, Yadong Shang
Publikováno v:
AIMS Mathematics, Vol 6, Iss 1, Pp 543-563 (2021)
In this paper, the long time behavior of a quasilinear viscoelastic equation with nonlinear damping is considered. Under suitable assumptions, the existence of global attractors is established.
Externí odkaz:
https://doaj.org/article/148c50de79b7471f9c349b300eeaa66a
Publikováno v:
Boundary Value Problems, Vol 2020, Iss 1, Pp 1-26 (2020)
Abstract This paper deals with a class of Petrovsky system with nonlinear damping w t t + Δ B 2 w − k 2 Δ B w t + a w t | w t | m − 2 = b w | w | p − 2 $$\begin{aligned} w_{tt}+\Delta _{\mathbb{B}}^{2}w-k_{2} \Delta _{\mathbb{B}}w_{t}+aw_{t}
Externí odkaz:
https://doaj.org/article/68dfb3aec36249aaae2a1aadf77d8ab0
Publikováno v:
Boundary Value Problems, Vol 2020, Iss 1, Pp 1-31 (2020)
Abstract In this paper, we consider the initial boundary value problem for generalized Zakharov equations. Firstly, we prove the existence and uniqueness of the global smooth solution to the problem by a priori integral estimates, the Galerkin method
Externí odkaz:
https://doaj.org/article/5a0063ea8c914439b33f7ed28d3b90be
Publikováno v:
AIMS Mathematics, Vol 5, Iss 4, Pp 3408-3422 (2020)
This paper deals with the blow-up phenomena for a nonlinear pseudo-parabolic equation with a memory term $u_{t}-\triangle{u}-\triangle{u}_{t}+\int_{0}^{t}g(t-\tau)\triangle{u}(\tau)d\tau=|{u}|^{p}{u}$ in a bounded domain, with the initial and Dirichl
Externí odkaz:
https://doaj.org/article/95b1532dd0d7485aa4bebdf5f23265de
Autor:
Quting Chen, Yadong Shang
Publikováno v:
AIMS Mathematics, Vol 4, Iss 2, Pp 231-241 (2019)
In this paper, we present some similarity reductions of the short pulse equation(SPE) based on the direct similarity reduction method proposed by Clarkson and Kruskal. These similarity reductions have a more general form than those obtained by using
Externí odkaz:
https://doaj.org/article/b1f577b72bef475bb7dc3e4be860dfa0
Publikováno v:
Advances in Mathematical Physics, Vol 2020 (2020)
The stochastic strongly dissipative Zakharov equations with white noise are studied. On the basis of the time uniform a priori estimates, we prove the existence and uniqueness of solutions in energy spaces E1 and E2, by using the standard Galerkin ap
Externí odkaz:
https://doaj.org/article/fff7b0f4a2ca4b70ad05f5e237342c65
Publikováno v:
AIMS Mathematics, Vol 3, Iss 4, Pp 514-523 (2018)
This paper deals with a nonlinear viscoelastic wave equation with strong damping. By the means of the interpolation inequalities and di erential inequality technique, we obtain a lower bound for blow-up time of the solution. This result extends our e
Externí odkaz:
https://doaj.org/article/bffecc6ef50848e8ab88dab72a16a57c
Publikováno v:
Boundary Value Problems, Vol 2018, Iss 1, Pp 1-17 (2018)
Abstract This paper deals with the initial boundary value problem for the nonlinear beam equation with double damping terms utt−uxxt+uxxxx+uxxxxt=g(uxx)xx,x∈Ω,t>0, $$\begin{aligned} u_{tt}-u_{xxt}+u_{xxxx}+u_{xxxxt}=g(u_{xx})_{xx}, \quad x\in\Om
Externí odkaz:
https://doaj.org/article/e29a2d04374a480e9b4ee8694cd09f8d
Publikováno v:
AIMS Mathematics, Vol 3, Iss 2, Pp 322-342 (2018)
This paper concerns with the Cauchy problem for two classes of nonlinear hyperbolic equations with double damping terms. Firstly, by virtue of the Fourier transform method, we prove that the Cauchy problem of a class of high order nonlinear hyperboli
Externí odkaz:
https://doaj.org/article/a5e3aa890718459780f16fab41f2e070
Autor:
Huafei Di, Yadong Shang
Publikováno v:
AIMS Mathematics, Vol 2, Iss 4, Pp 647-657 (2017)
This paper deals with the initial boundary value problem for a metaparabolic equations withtime dependent coeffcient. Under suitable conditions on initial data, a blow-up criterion which ensuresthat u cannot exist all time is given, and an upper boun
Externí odkaz:
https://doaj.org/article/d0375bc4780a4434b96e57706e2d537b