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