3.1.1 The MCU Films

BOOK CHAPTER published 31 December 2024 in World Construction via Networking

Convergence analysis of a second order numerical scheme for the Flory–Huggins–Cahn–Hilliard–Navier–Stokes system

JOURNAL ARTICLE published November 2024 in Journal of Computational and Applied Mathematics

Research funded by National Science Foundation (12271237,DMS-2012269,DMS-2309548) | National Natural Science Foundation of China (12241101,NSFC 12071090)

Authors: Wenbin Chen | Jianyu Jing | Qianqian Liu | Cheng Wang | Xiaoming Wang

On bilinear estimates and critical uniqueness classes for Navier-Stokes equations

JOURNAL ARTICLE published November 2024 in Journal of Mathematical Analysis and Applications

Research funded by Conselho Nacional de Desenvolvimento Científico e Tecnológico (308799/2019-4,152280/2016-2,3704)

Authors: Lucas C.F. Ferreira | Jhean E. Pérez-López | Julio C. Valencia-Guevara

On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions

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

Authors: Elvise Berchio | Alessio Falocchi | Clara Patriarca

Fourth-order compact block-centered splitting domain decomposition method for parabolic equations

JOURNAL ARTICLE published October 2024 in Journal of Computational and Applied Mathematics

Research funded by Natural Science Foundation of Shandong Province (ZR2023QA009,ZR2021MA005) | National Natural Science Foundation of China (11601497,12371412)

Authors: Yilei Shi | Dong Liang | Shusen Xie | Kai Fu

Hopf bifurcation of a non-parallel Navier-Stokes flow

JOURNAL ARTICLE published October 2024 in Journal of Mathematical Analysis and Applications

Authors: Zhi-Min Chen

Null controllability for stochastic coupled systems of fourth order parabolic equations

JOURNAL ARTICLE published October 2024 in Journal of Mathematical Analysis and Applications

Research funded by Fundamental Research Funds for the Central Universities (2682024CX013)

Authors: Yu Wang

Nonsmooth data error estimates for fully discrete finite element approximations of semilinear parabolic equations in Banach space

JOURNAL ARTICLE published October 2024 in Journal of Computational and Applied Mathematics

Authors: Wansheng Wang | Jinping Li | Chengyu Jin

Numerical solution of nonlinear m-dimensional Fredholm integral equations using iterative Newton–Cotes rules

JOURNAL ARTICLE published October 2024 in Journal of Computational and Applied Mathematics

Authors: Hamid Mottaghi Golshan

Convergence analysis of a decoupled pressure-correction SAV-FEM for the Cahn–Hilliard–Navier–Stokes model

JOURNAL ARTICLE published October 2024 in Journal of Computational and Applied Mathematics

Research funded by Hunan Provincial Innovation Foundation for Postgraduate (CX20220539) | National Natural Science Foundation of China (12071400,12261131501) | National Key Research and Development Program of China (2020YFA0713500)

Authors: Jinting Yang | Nianyu Yi

An improved partitioned time stepping method based on modified characteristic FEM for the evolutionary dual-porosity-Navier–Stokes model

JOURNAL ARTICLE published October 2024 in Journal of Computational and Applied Mathematics

Research funded by Ministry of Education of the People's Republic of China (20130141110026) | National Natural Science Foundation of China (91130022,10971159,11161130003)

Authors: Yuxin Bi | Xiaofeng Jia | Hui Feng

Corrigendum to "A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach'' [Journal of Computational and Applied Mathematics 445 (2024) 115819]

JOURNAL ARTICLE published September 2024 in Journal of Computational and Applied Mathematics

Authors: Yuping Zeng | Liuqiang Zhong | Feng Wang | Shangyou Zhang | Mingchao Cai

On unique solvability of the time-periodic problem for the Navier-Stokes equation

JOURNAL ARTICLE published 1 September 2024 in Advances in Differential Equations

Authors: Tomoyuki Nakatsuka

Some remarks on large-time behaviors for the linearized compressible Navier-Stokes equations

JOURNAL ARTICLE published 1 September 2024 in Differential and Integral Equations

Authors: Wenhui Chen | Ryo Ikehata

Inverse moving source problems for parabolic equations

JOURNAL ARTICLE published September 2024 in Applied Mathematics Letters

Research funded by National Natural Science Foundation of China (12371421,12071275)

Authors: Keji Liu | Yue Zhao

On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations

JOURNAL ARTICLE published September 2024 in Journal of Mathematical Analysis and Applications

Research funded by National Academy of Sciences of Ukraine (0120U100178)

Authors: Mariia Savchenko | Igor Skrypnik | Yevgeniia Yevgenieva

Blow-up at infinity of solutions to a class of pseudo-parabolic equations with logarithmic nonlinearity and singular potential

JOURNAL ARTICLE published September 2024 in Applied Mathematics Letters

Research funded by National Natural Science Foundation of China (11901018,12071017)

Authors: Wei Zhang | Jialing Zhang

Well posedness of linear parabolic partial differential equations posed on a star-shaped network with local time Kirchhoff's boundary condition at the vertex

JOURNAL ARTICLE published September 2024 in Journal of Mathematical Analysis and Applications

Research funded by German-Israeli Foundation for Scientific Research and Development (1489-304.6/2019)

Authors: Miguel Martinez | Isaac Ohavi

On well-posedness of Navier–Stokes variational inequalities

JOURNAL ARTICLE published September 2024 in Applied Mathematics Letters

Research funded by H2020 Marie Skłodowska-Curie Actions (823731) | Simons Foundation (850737)

Authors: Weimin Han | Yuan Yao

Stability of Navier-Stokes equations with a free surface

JOURNAL ARTICLE published September 2024 in Journal of Differential Equations

Authors: Xing Cheng | Yunrui Zheng