Abstract and Applied Analysis

Nonlinear Partial Differential Equations in Mathematics and Physics


Publishing date
10 Apr 2015
Status
Published
Submission deadline
21 Nov 2014

Lead Editor

1Anhui University, Hefei, China

2Wenzhou University, Wenzhou, China

3Nanjing University of Science and Technology, Nanjing, China

4Lehigh University, Bethlehem, USA

5Loughborough University, Loughborough, UK


Nonlinear Partial Differential Equations in Mathematics and Physics

Description

Most of the nonlinear problems in mathematics and physics are governed by the nonlinear partial differential equations in the past ten years. The abstract and applied analysis, such as the study of well-posedness and large time behaviors for solutions, to those nonlinear partial differential equations attract more and more attention. Understanding those important nonlinear problems is fascinating and challenging. We invite investigators to contribute good quality and original research articles as well as review articles that will stimulate the continuing efforts to understand the nonlinear partial differential equations in mathematics and physics. We are particularly interested in articles describing the new and important progress on the existence, uniqueness, regularity, space-time decay, and dynamical behavior of solutions to the nonlinear partial differential equations in mathematics and physics.

Potential topics include, but are not limited to:

  • Incompressible and compressible Navier-Stokes equations, magnetohydrodynamic equations, and Euler equations
  • Boltzmann equation and related kinetics equations
  • Primitive equations in ocean and atmosphere including quasi-geostrophic equation
  • Schrodinger equations and KdV equation
  • Related mathematical models in mathematics and physics including Newtonian and non-Newtonian fluid models

Articles

  • Special Issue
  • - Volume 2015
  • - Article ID 593126
  • - Editorial

Nonlinear Partial Differential Equations in Mathematics and Physics

Bo-Qing Dong | Caidi Zhao | ... | Liangpan Li
  • Special Issue
  • - Volume 2015
  • - Article ID 597946
  • - Research Article

On Unique Continuation for Navier-Stokes Equations

Zhiwen Duan | Shuxia Han | Peipei Sun
  • Special Issue
  • - Volume 2014
  • - Article ID 169423
  • - Research Article

Wave Breaking Phenomenon for DGH Equation with Strong Dissipation

Zhengguang Guo | Min Zhao
  • Special Issue
  • - Volume 2014
  • - Article ID 214546
  • - Research Article

Global Existence of Solution to Initial Boundary Value Problem for Bipolar Navier-Stokes-Poisson System

Jian Liu | Haidong Liu
  • Special Issue
  • - Volume 2014
  • - Article ID 476829
  • - Research Article

Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient

Zhijie Cao | Yiping Lin
  • Special Issue
  • - Volume 2014
  • - Article ID 507494
  • - Research Article

Blow-Up of Solutions for a Class of Nonlinear Pseudoparabolic Equations with a Memory Term

Huafei Di | Yadong Shang
  • Special Issue
  • - Volume 2014
  • - Article ID 738729
  • - Research Article

Optimal Convergence Rates for Solutions of the Monopolar Non-Newtonian Flows

Zhi-qiang Luo
  • Special Issue
  • - Volume 2014
  • - Article ID 501280
  • - Research Article

Error Estimates for Solutions of the Semilinear Parabolic Equation in Whole Space

Xiaomei Hu
  • Special Issue
  • - Volume 2014
  • - Article ID 329474
  • - Research Article

Algebraic Decay for Weak Solutions of the Nonlinear Heat Equations in Whole Space R3

Yuexing Yang
  • Special Issue
  • - Volume 2014
  • - Article ID 879780
  • - Research Article

Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations

Junbai Ren
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
Impact Factor-
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