Journal of Applied Mathematics

Nonlinear Elliptic Systems and Nonlinear Parabolic Systems


Publishing date
27 Jun 2014
Status
Published
Submission deadline
07 Feb 2014

Lead Editor

1School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang, China

2Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada

3College of Mathematics and Computer Science, Hebei University, Baoding, China

4School of Mathematical Sciences, Ocean University of China, Qingdao, China


Nonlinear Elliptic Systems and Nonlinear Parabolic Systems

Description

For many years, nonlinear elliptic and parabolic differential equations play important roles in applied mathematics since they can describe many phenomena arising in mathematical physics, engineering fields, electricity, fluid dynamics, and many other fields, such as the filtration theory, phase inversion theory, biochemistry, the dynamics of biology, and non-Newtonian theory.

One of such equations may describe one real-world system, and one system may interact with another. Real-world problems are often complicated and include two or more of such nonlinear equations. Hence, it is important to develop novel theories and methods to investigate nonlinear elliptic or parabolic systems. This special issue is intended to gather significant and up-to-date contributions to the theory and methods for the existence of the solution, the regularity of the solution, the number of solutions, the construction of solutions, numerical schemes, and the well-posed and qualitative property of solutions for nonlinear elliptic or parabolic systems. Potential topics include, but not limited to:

  • Existence of solutions of nonlinear elliptic or parabolic systems with nonlinear boundary values
  • Regularity of solutions of nonlinear elliptic or parabolic systems
  • Asymptotic behavior of the solution of nonlinear elliptic or parabolic systems
  • Construction of solutions of nonlinear elliptic or parabolic systems
  • Fixed-point theorems and applications to nonlinear elliptic or parabolic systems
  • Variational approach
  • Critical point theorem
  • Iterative schemes
  • Numerical schemes
  • Perturbations theories for nonlinear mappings with applications to nonlinear elliptic or parabolic systems
  • Numerical simulation and convergence analysis
  • Ergodic theory and differential dynamical systems
  • Well-posed and qualitative property of solutions for the nonlinear parabolic diffusion equations with local and nonlocal terms

Before submission, authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/jam/guidelines. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/jam/nesp/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 405123
  • - Editorial

Nonlinear Elliptic Systems and Nonlinear Parabolic Systems

Li Wei | Anthony To-Ming Lau | ... | Zhongbo Fang
  • Special Issue
  • - Volume 2014
  • - Article ID 308751
  • - Research Article

Higher Integrability for Very Weak Solutions of Inhomogeneous -Harmonic Form Equations

Yuxia Tong | Shenzhou Zheng | Jiantao Gu
  • Special Issue
  • - Volume 2014
  • - Article ID 706159
  • - Research Article

A New Method of 3D Facial Expression Animation

Shuo Sun | Chunbao Ge
  • Special Issue
  • - Volume 2014
  • - Article ID 231248
  • - Research Article

Zeros for the Gradients of Weakly -Harmonic Tensors

Yuxia Tong | Jiantao Gu | Shenzhou Zheng
  • Special Issue
  • - Volume 2014
  • - Article ID 232541
  • - Research Article

Convergence Theorem for Equilibrium and Variational Inequality Problems and a Family of Infinitely Nonexpansive Mappings in Hilbert Space

Zhou Yinying | Cao Jiantao | Wang Yali
  • Special Issue
  • - Volume 2014
  • - Article ID 468079
  • - Research Article

Relaxed Extragradient Algorithms for the Split Feasibility Problem

Youli Yu | Shin Min Kang | Young Chel Kwun
  • Special Issue
  • - Volume 2014
  • - Article ID 981494
  • - Research Article

Strong Convergence of a Modified Ishikawa Iterative Sequence for Asymptotically Quasi-Pseudo-Contractive-Type Mappings

Liuhong Li | Yuanheng Wang
  • Special Issue
  • - Volume 2014
  • - Article ID 529618
  • - Research Article

Inverse Estimates for Nonhomogeneous Backward Heat Problems

Tao Min | Weimin Fu | Qiang Huang
  • Special Issue
  • - Volume 2014
  • - Article ID 193749
  • - Research Article

New Mixed Equilibrium Problems and Iterative Algorithms for Fixed Point Problems in Banach Spaces

Minjiang Chen | Jianmin Song | Shenghua Wang
  • Special Issue
  • - Volume 2013
  • - Article ID 260856
  • - Research Article

Li-Yorke Sensitivity of Set-Valued Discrete Systems

Heng Liu | Fengchun Lei | Lidong Wang
Journal of Applied Mathematics
 Journal metrics
Acceptance rate13%
Submission to final decision42 days
Acceptance to publication81 days
CiteScore0.530
Impact Factor-
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