Stability of solitary waves in membrane tubes: A weakly nonlinear analysis

Solitary wave packets beneath a compressed ice cover

(2016) A. T. Il’ichev   Fluid Dynamics

Multi-scale modelling of textile reinforced artificial tubular aortic heart valves

(2016) Deepanshu Sodhani et al.   MECCANICA

Envelope solitary waves and dark solitons at a water-ice interface

(2015) A. T. Il’ichev   Proceedings of the Steklov Institute of Mathematics

Soliton-like structures on a water-ice interface

(2015) A T Il'ichev   RUSSIAN MATHEMATICAL SURVEYS

Stability of an inflated hyperelastic membrane tube with localized wall thinning

(2014) A.T. Il’ichev et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow

(2014) YB Fu et al.   MATHEMATICS AND MECHANICS OF SOLIDS

Stability of aneurysm solutions in a fluid-filled elastic membrane tube

(2012) A. T. Il’ichev et al.   ACTA MECHANICA SINICA

Solitary waves in fluid-filled elastic tubes: existence, persistence, and the role of axial displacement

(2010) Y. B. Fu et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Characterization and stability of localized bulging/necking in inflated membrane tubes

(2010) S. P. Pearce et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Constitutive modelling of arteries

(2010) G. A. Holzapfel et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES