An optimal control problem in a tubular thin domain with rough boundary
JC Nakasato, MC Pereira - Journal of Differential Equations, 2022 - Elsevier
In this paper we analyze the asymptotic behavior of a control problem set by a convection-
reaction-diffusion equation with mixed boundary conditions and defined in a tubular thin …
reaction-diffusion equation with mixed boundary conditions and defined in a tubular thin …
Quasilinear problems with nonlinear boundary conditions in higher-dimensional thin domains with corrugated boundaries
JC Nakasato, MC Pereira - Advanced Nonlinear Studies, 2023 - degruyter.com
In this work, we analyze the asymptotic behavior of a class of quasilinear elliptic equations
defined in oscillating (N+ 1)-dimensional thin domains (ie, a family of bounded open sets …
defined in oscillating (N+ 1)-dimensional thin domains (ie, a family of bounded open sets …
Limiting dynamics for stochastic delay p-Laplacian equation on unbounded thin domains
F Li, D Li, MM Freitas - Banach Journal of Mathematical Analysis, 2024 - Springer
We study the long-term behavior of solutions for stochastic delay p-Laplacian equation with
multiplicative noise on unbounded thin domains. We first prove the existence and …
multiplicative noise on unbounded thin domains. We first prove the existence and …
The p-Laplacian in thin channels with locally periodic roughness and different scales
JC Nakasato, MC Pereira - Nonlinearity, 2022 - iopscience.iop.org
The p-Laplacian in thin channels with locally periodic roughness and different scales* Page 1
Nonlinearity PAPER • OPEN ACCESS The p-Laplacian in thin channels with locally periodic …
Nonlinearity PAPER • OPEN ACCESS The p-Laplacian in thin channels with locally periodic …
一种傅里叶域海量数据高速谱聚类方法
张熳, 徐兆瑞, 沈项军 - 北京航空航天大学学报, 2022 - bhxb.buaa.edu.cn
谱聚类方法广泛应用于数据挖掘和模式识别等领域, 但大规模数据上高计算代价的特征向量求解
及大数据带来的巨大内存需求, 使得其应用于大规模数据时受到了极大的限制. 为此 …
及大数据带来的巨大内存需求, 使得其应用于大规模数据时受到了极大的限制. 为此 …
On the non-isothermal, non-Newtonian Hele-Shaw flows in a domain with rough boundary
In this paper, we investigate the roughness-induced effects on the nonlinear system
describing the non-isothermal Hele-Shaw flow of a non-Newtonian fluid. Allowing different …
describing the non-isothermal Hele-Shaw flow of a non-Newtonian fluid. Allowing different …
Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains
F Li, MM Freitas, J Yu - Applied Mathematics & Optimization, 2023 - Springer
In this paper we study the bi-spatial dynamics of non-autonomous parabolic equations with
nonlinear Laplacian on n+ 1-dimensional unbounded thin domains, where the nonlinearity …
nonlinear Laplacian on n+ 1-dimensional unbounded thin domains, where the nonlinearity …
A reiterated homogenization problem for the p-Laplacian equation in corrugated thin domains
JC Nakasato, MC Pereira - Journal of Differential Equations, 2024 - Elsevier
In this paper, we study the asymptotic behavior of the solutions of the p-Laplacian equation
with mixed homogeneous Neumann-Dirichlet boundary conditions. It is posed in a two …
with mixed homogeneous Neumann-Dirichlet boundary conditions. It is posed in a two …
[PDF][PDF] Regularity of Wong-Zakai approximation for non-autonomous stochastic quasi-linear parabolic equation on RN
G Liu, W Zhao - Electron. Res. Arch., 2021 - aimspress.com
In this paper, we investigate a non-autonomous stochastic quasilinear parabolic equation
driven by multiplicative white noise by a Wong-Zakai approximation technique. The …
driven by multiplicative white noise by a Wong-Zakai approximation technique. The …
Homogenization in 3D thin domains with oscillating boundaries of different orders
JM Arrieta, JC Nakasato, M Villanueva-Pesqueira - Nonlinear Analysis, 2025 - Elsevier
This paper presents an extension of the unfolding operator technique, initially applied to two-
dimensional domains, to the realm of three-dimensional thin domains. The advancement of …
dimensional domains, to the realm of three-dimensional thin domains. The advancement of …