期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2248)
For liquid-porous material interactions (LPMI), three variational principles are developed in Biot's theory of porous materials in association with Da......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2249)
We achieve elastic cloaking for a periodic distribution of an infinite number of parallel finite mode III cracks by means of the complex variable meth......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2252)
Mechanical topological insulators have enabled a myriad of unprecedented characteristics that are otherwise not conceivable in traditional periodic st......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2253)
Previous investigations on wave scattering and crack propagation in the discrete periodic structure are concentrated on the conditional mass-spring mo......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2251)
The optimal design is studied for a type of one-dimensional dissipative metamaterial to achieve broadband wave attenuation at low-frequency ranges. Th......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2246)
The solar atmosphere is full of complicated transients manifesting the reconfiguration of the solar magnetic field and plasma. Solar jets represent co......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2248)
In previous work, we have considered Hamiltonians associated with three-dimensional conformally flat spaces, possessing two-, three- and four-dimensio......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2248)
We study epidemiological characteristics of 25 early COVID-19 outbreak countries, which emphasizes on the reproduction of infection and effects of gov......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2250)
In this paper, we investigate the exact solutions and conservation laws of (2+1)-dimensional time fractional Navier-Stokes equations (TFNSE). Specific......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2253)
The main purpose of this article is to investigate a novel set of (orthogonal) basis functions for treating a class of multi-order fractional pantogra......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2250)
Motivated by applications of soft-contact problems such as guidewires used in medical and engineering applications, we consider a compressed rod defor......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2253)
We investigate the solution landscapes of a simplified Ericksen-Leslie (sEL) vector model for nematic liquid crystals, confined in a two-dimensional s......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2251)
In this paper, we mainly study the geometric background, integrability and peaked solutions of a (1+n)-component Camassa-Holm (CH) system and some rel......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2251)
In this paper, we aim to investigate the influence of delay on the global attractivity of a tick population dynamics model incorporating two distincti......
期刊： PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021; 477 (2252)
The concurrence of ecological and evolutionary processes often arises as an integral part of various biological and social systems. We here study eco-......
