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Aims and scope

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.
Editorial Policy

  • Manuscripts: Original research papers, dealing with subjects within the journal’s scope. Occasionally, and typically by invitation, ‘Perspective’ or review papers will be considered. Topical collections, each devoted to a particular theme, will appear occasionally. Proposals for topical collections may be submitted to one or both of the joint Editors-in-Chief at any time. The preferred length of a typical research paper is between ten and thirty journal pages. Longer and shorter papers will be considered, but their quality should justify their length. Extremely short papers are best sent to journals specialising in the publication of short notes and letters.
  • Refereeing: Each paper is examined by expert referees. In the event of a dispute, or if the Editor-in-Chief feels that the advice of the referees is inconclusive, more referees will be consulted.
  • Authors’ Right of Rebuttal: Authors who strongly object to aspects of the reviewers' reports may write an appeal to the Editor-in-Chief. Their objections will be passed on to the referees. If the matter remains unresolved, further referees may be consulted. The Editor-in-Chief may make a final decision at any stage in the appeal process.