Self-similar solutions for the heat equation with a positive non-Lipschitz continuous, semilinear source term

JOURNAL ARTICLE published October 2024 in Nonlinear Analysis: Real World Applications

Authors: A. Farina | R. Gianni

Null controllability of an ODE-heat system coupled at boundary and internal term

JOURNAL ARTICLE published August 2024 in Applied Mathematics and Computation

Research funded by National Natural Science Foundation of China (11671326) | Chongqing Natural Science Foundation (cstc2020jcyj-msxmX0076)

Authors: Caijin Zeng | Zhongcheng Zhou | Chengkang Xie

An analysis based on a three-energy equation model for forced convective heat transfer in bi-disperse packed bed channels and tubes

JOURNAL ARTICLE published August 2024 in International Journal of Heat and Mass Transfer

Authors: Zihao Zheng | Xiaohui Bai | Akira Nakayama

Denoising of poisson-corrupted microscopic biopsy images using fourth-order partial differential equation with ant colony optimization

JOURNAL ARTICLE published July 2024 in Biomedical Signal Processing and Control

Authors: Prem Chand Yadava | Subodh Srivastava

Control co-design optimization of nonlinear wave energy converters

JOURNAL ARTICLE published July 2024 in Ocean Engineering

Research funded by National Science Foundation (2048413) | Materials Research Institute, Pennsylvania State University (1726447)

Authors: Habeebullah Abdulkadir | Ossama Abdelkhalik

Energy-shaping and entropy-assignment boundary control of the heat equation

JOURNAL ARTICLE published July 2024 in Systems & Control Letters

Authors: Luis A. Mora | Yann Le Gorrec | Hector Ramirez

Predefined-time distributed optimization and anti-disturbance control for nonlinear multi-agent system with neural network estimator: A hierarchical framework

JOURNAL ARTICLE published July 2024 in Neural Networks

Research funded by National Natural Science Foundation of China (62276062)

Authors: Haitao Wang | Qingshan Liu | Chentao Xu

Unconditional Error Analysis of VEMs for a Generalized Nonlinear Schrödinger Equation

JOURNAL ARTICLE published June 2024 in Journal of Computational Mathematics

Authors: Meng Li | Jikun Zhao null | Shaochun Chen

Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation

JOURNAL ARTICLE published June 2024 in Journal of Computational Mathematics

Authors: Hanzhang Hu | Yanping Chen null | Jianwei Zhou

Modified hybrid B-spline estimation based on spatial regulator tensor network for burger equation with nonlinear fractional calculus

JOURNAL ARTICLE published June 2024 in Mathematics and Computers in Simulation

Authors: Baiheng Cao | Xuedong Wu | Yaonan Wang | Zhiyu Zhu

Analysis and Optimal Control of a System of Hemivariational Inequalities Arising in Non-Stationary Navier-Stokes Equation with Thermal Effects

JOURNAL ARTICLE published June 2024 in Numerical Mathematics: Theory, Methods and Applications

Authors: Hailing Xuan | Xiaoliang Cheng null | Xilu Wang

Two Decoupled and Linearized Block-Centered Finite Difference Methods for the Nonlinear Symmetric Regularized Long Wave Equation

JOURNAL ARTICLE published June 2024 in International Journal of Numerical Analysis and Modeling

Authors: Jie Xu | Shusen Xie null | Hongfei Fu

Numerical Methods for the Nonlinear Dirac Equation in the Massless Nonrelativistic Regime

JOURNAL ARTICLE published June 2024 in East Asian Journal on Applied Mathematics

Authors: Ying He | Yan Wang | Jerry Zhijian Yang null | Hongshuang Yin

A genetic algorithm-based topology optimization (GATO) method for convective cooling of a heating surface with multiple heat sources

JOURNAL ARTICLE published June 2024 in International Journal of Heat and Mass Transfer

Research funded by China Scholarship Council (201908070033)

Authors: Yijun Li | Stéphane Roux | Cathy Castelain | Yilin Fan | Lingai Luo

Dynamic numerical modeling and performance optimization of solar and wind assisted combined heat and power system coupled with battery storage and sophisticated control framework

JOURNAL ARTICLE published June 2024 in Results in Engineering

Authors: Bashar Shboul | Mohamad E. Zayed | Nedaa Al-Tawalbeh | Muhammad Usman | Kashif Irshad | Alhaj-Saleh Odat | Mohammad Azad Alam | Shafiqur Rehman

New investigation on controllability of sobolev-type Volterra-Fredholm functional integro-differential equation with non-local condition

JOURNAL ARTICLE published June 2024 in Results in Control and Optimization

Authors: E. Thilakraj | K. Kaliraj | C. Ravichandran | M. Manjula

Offline supervised learning v.s. online direct policy optimization: A comparative study and a unified training paradigm for neural network-based optimal feedback control

JOURNAL ARTICLE published June 2024 in Physica D: Nonlinear Phenomena

Authors: Yue Zhao | Jiequn Han

Qualitative dynamical study of hybrid system of Pantograph equations with nonlinear p-Laplacian operator in Banach’s space

JOURNAL ARTICLE published June 2024 in Results in Control and Optimization

Authors: Hasib Khan | Jehad Alzabut | Abdulwasea Alkhazzan

Minimal time sampled-data controls for the ordinary differential system

JOURNAL ARTICLE published 16 May 2024 in ESAIM: Control, Optimisation and Calculus of Variations

Research funded by National Natural Science Foundation of China (12171377)

Authors: Li Wang | Lijuan Wang

Asymptotic behavior of null controllability cost for parabolic equations with vanishing diffusivity under Robin and Neumann boundary conditions

JOURNAL ARTICLE published 15 May 2024 in ESAIM: Control, Optimisation and Calculus of Variations

Research funded by Ministerio de Ciencia e Innovación (PID2021-126813NB-I00) | Hezkuntza, Hizkuntza Politika Eta Kultura Saila, Eusko Jaurlaritza (IT1615-22)

Authors: Fouad Et-tahri | Jon Asier Bárcena-Petisco | Idriss Boutaayamou | Lahcen Maniar