Bifurcation theory of limit cycles by higher order Melnikov functions and applications

JOURNAL ARTICLE published September 2024 in Journal of Differential Equations

Research funded by Key Technologies Research and Development Program (2022YFA1005900)

Authors: Shanshan Liu | Maoan Han

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

A 1-Laplacian equation with critical and discontinuous nonlinearities

JOURNAL ARTICLE published September 2024 in Journal of Differential Equations

Research funded by Fundação de Amparo à Pesquisa do Estado de São Paulo (2021/12773-0,2022/15727-2) | Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (307045/2021-8,303788/2018-6)

Authors: Marcos Tadeu de Oliveira Pimenta | João R. dos Santos Júnior | Matheus F. Stapenhorst

Homogenization and uniform stabilization of the wave equation in perforated domains

JOURNAL ARTICLE published September 2024 in Journal of Differential Equations

Research funded by Conselho Nacional de Desenvolvimento Científico e Tecnológico (300631/2003-0,304895/2003-2,306771/2023-3)

Authors: Marcelo M. Cavalcanti | Valéria N. Domingos Cavalcanti | André Vicente

Local well-posedness for the Zakharov-Kuznetsov equation on the background of a bounded function

JOURNAL ARTICLE published 1 September 2024 in Advances in Differential Equations

Authors: José Manuel Palacios

Pattern formations in nonlinear reaction-diffusion systems with strong localized impurities

JOURNAL ARTICLE published September 2024 in Journal of Differential Equations

Authors: Yuanxian Chen | Ji Li | Jianhe Shen | Qian 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

Existence of positive bound solutions to critical fractional Schrödinger equation in $mathbb R^N_+$

JOURNAL ARTICLE published 1 September 2024 in Differential and Integral Equations

Authors: Senli Liu | Zhisu Liu

Effect of random noises on pathwise solutions to the high-dimensional modified Euler-Poincaré system

JOURNAL ARTICLE published September 2024 in Journal of Differential Equations

Research funded by National Natural Science Foundation of China (12231008) | National Key Research and Development Program of China (2023YFC2206100)

Authors: Lei Zhang

Large time behavior of weak solutions to the inhomogeneous incompressible Navier-Stokes-Vlasov equations in R3

JOURNAL ARTICLE published September 2024 in Journal of Differential Equations

Research funded by Fundamental Research Funds for the Central Universities (G2023KY05102) | National Natural Science Foundation of China (12271114) | Natural Science Foundation of Guangxi Province (2019AC20214,2019JJG110003) | Natural Science Foundation of Fujian Province (11931013,2022J01304,12171390)

Authors: Yunfei Su | Guochun Wu | Lei Yao | Yinghui Zhang

Global population propagation dynamics of reaction-diffusion models with shifting environment for non-monotone kinetics and birth pulse

JOURNAL ARTICLE published September 2024 in Journal of Differential Equations

Research funded by China Scholarship Council (202206380151) | National Natural Science Foundation of China (12231008)

Authors: Yurong Zhang | Taishan Yi | Jianhong Wu

Traveling wave phenomena of inhomogeneous half-wave equation

JOURNAL ARTICLE published August 2024 in Journal of Differential Equations

Research funded by National Science Foundation (DMS-2316952)

Authors: Zhaosheng Feng | Yu Su

Ground state solutions for a (p,q)-Choquard equation with a general nonlinearity

JOURNAL ARTICLE published August 2024 in Journal of Differential Equations

Authors: Vincenzo Ambrosio | Teresa Isernia

LordNet: An efficient neural network for learning to solve parametric partial differential equations without simulated data

JOURNAL ARTICLE published August 2024 in Neural Networks

Authors: Xinquan Huang | Wenlei Shi | Xiaotian Gao | Xinran Wei | Jia Zhang | Jiang Bian | Mao Yang | Tie-Yan Liu

On inverse scattering for the two-dimensional nonlinear Schrödinger equation

JOURNAL ARTICLE published August 2024 in Journal of Differential Equations

Research funded by Japan Society for the Promotion of Science (22K03367)

Authors: Hironobu Sasaki

CDRGN-SDE: Cross-Dimensional Recurrent Graph Network with neural Stochastic Differential Equation for temporal knowledge graph embedding

JOURNAL ARTICLE published August 2024 in Expert Systems with Applications

Research funded by National Natural Science Foundation of China (61976032)

Authors: Dong Zhang | Wenlong Feng | Zonghang Wu | Guanyu Li | Bo Ning

Existence of solution and qualitative behavior for a class of heat equations

JOURNAL ARTICLE published August 2024 in Journal of Differential Equations

Authors: Claudianor O. Alves | Tahir Boudjeriou | Humberto Prado

Numerical investigations of melting process with sidewall heating under various control parameters

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

Research funded by Ningbo Science and Technology Bureau (2023Z227)

Authors: Jin Hu | Shengqi Zhang | Zhishun Yang | Lihua Chen | Zhenhua Xia

Decay property of the Timoshenko-Fourier system with memory-type dissipation

JOURNAL ARTICLE published August 2024 in Journal of Differential Equations

Research funded by Beijing Natural Science Foundation (1232021)

Authors: Yongqin Liu | Shikuan Mao

Local randomized neural networks with discontinuous Galerkin methods for partial differential equations

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

Authors: Jingbo Sun | Suchuan Dong | Fei Wang