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Special Issue: Local and Nonlocal PDEs Arising in Real Life Problems

Guest Editor

Prof. Marius Ghergu
School of Mathematics and Statistics, University College Dublin, Ireland
Email: marius.ghergu@ucd.ie

Manuscript Topics

Local PDEs are the first instance in modelling real life phenomena in order to quantify the change of processes in terms of multiple independent variables. In order to incorporate more intricate interactions, nonlocal PDEs are better suited to describe the collective influence of various processes arising in the real life situations. These are nowadays ubiquitous, being used to describe various processes ranging from gas molecule collision and anomalous diffusion, asset prices in finance, filtering algorithms in image processing, repulsion and attraction patterns in population dynamics.


This Special Issue welcomes all original contributions that present qualitative properties such as existence, non-existence, asymptotics or regularity of solutions to local and nonlocal PDEs with a significant relevance to real life problems.


Instructions for authors
https://www.aimspress.com/nhm/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 01 April 2025

Published Papers(7)

Research article
An integral system of Matukuma type with negative exponents
Changhong Li
2025, Volume 20, Issue 2: 566-589. doi: 10.3934/nhm.2025025
Abstract HTML PDF Viewed (112)
Research article
Asymptotic behavior of the solution of a stochastic clearing queueing system
Nurehemaiti Yiming
2025, Volume 20, Issue 2: 590-624. doi: 10.3934/nhm.2025026
Abstract HTML PDF Viewed (125)
Research article
Global well-posedness of strong solution to the kinetic Cucker-Smale model with external potential field
Linglong Du Anqi Du Zhengyan Luo
2025, Volume 20, Issue 2: 460-481. doi: 10.3934/nhm.2025021
Abstract HTML PDF Viewed (216)
Research article
Global existence of 3D rotating magnetohydrodynamic equations arising from Earth's fluid core
Jinyi Sun Weining Wang Dandan Zhao
2025, Volume 20, Issue 1: 35-51. doi: 10.3934/nhm.2025003
Abstract HTML PDF Cited (1) Viewed (836)
Research article
Analyzing vegetation pattern formation through a time-ordered fractional vegetation-sand model: A spatiotemporal dynamic approach
Yimamu Maimaiti Zunyou Lv Ahmadjan Muhammadhaji Wang Zhang
2024, Volume 19, Issue 3: 1286-1308. doi: 10.3934/nhm.2024055
Abstract HTML PDF Viewed (746)
Research article
Positive solutions for the periodic-parabolic problem with large diffusion
Mingming Fan Jianwen Sun
2024, Volume 19, Issue 3: 1116-1132. doi: 10.3934/nhm.2024049
Abstract HTML PDF Cited (1) Viewed (868)
Research article
Influence of environmental pollution and bacterial hyper-infectivity on dynamics of a waterborne pathogen model with free boundaries
Meng Zhao Jiancheng Liu Yindi Zhang
2024, Volume 19, Issue 3: 940-969. doi: 10.3934/nhm.2024042
Abstract HTML PDF Viewed (959)