The principal aim of this journal is to promote the application of mathematics to problems from engineering and the applied sciences. It also aims to emphasize the intrinsic unity, through mathematics, of the fundamental problems of applied and engineering science.

The scope of the journal includes the following:

• Mathematics: Ordinary and partial differential equations, Integral equations, Asymptotics, Variational and functional−analytic methods, Numerical analysis, Computational methods. 

Papers reporting advances in analytical or numerical methods must make a sufficiently compelling case for how the results presented have the potential to significantly advance applications.

• Applied Fields: Continuum mechanics, Stability theory, Wave propagation, Diffusion, Heat and mass transfer, Free−boundary problems; Fluid mechanics: Aero− and hydrodynamics, Boundary layers, Shock waves, Fluid machinery, Fluid−structure interactions, Convection, Combustion, Acoustics, Multi−phase flows, Transition and turbulence, Creeping flow, Rheology, Porous−media flows, Ocean engineering, Atmospheric engineering, Non-Newtonian flows, Ship hydrodynamics; Solid mechanics: Elasticity, Classical mechanics, Nonlinear mechanics, Vibrations, Plates and shells, Fracture mechanics; Biomedical engineering, Geophysical engineering, Reaction−diffusion problems; and related areas. 

Papers reporting advances in applications must exhibit a sufficiently deep level of analysis using analytical and/or numerical methods.

The Journal also publishes occasional invited 'Perspective' articles by distinguished researchers to provide an authoritative overview of recent developments in topics of current interest.  Traditional review articles will be considered for publication as well.  Authors wishing to suggest topics for such articles should contact the Editors-in-Chief directly prior to submission.

Prospective authors are encouraged to consult recent issues of the journal in order to judge whether or not their manuscript is consistent with the style and content of published papers. To be sent for review, papers must make a sufficiently compelling case for the significance of the results presented, especially with respect to potential applications.