On Schwartz-Villat's formula for analytic functions

Article Thermodynamics

Some results on eigenvalue problems in the theory of piezoelectric porous dipolar bodies

Marin Marin et al.

Summary: In this study, we establish a boundary value problem for elasticity of porous piezoelectric bodies with a dipolar structure. By defining two operators on suitable Hilbert spaces, we prove their positivity and self-adjointness, demonstrating that eigenvalues are real numbers and corresponding eigenfunctions are orthogonal. A variational formulation is provided for the eigenvalue problem using a Rayleigh quotient type functional. Additionally, a disturbance analysis in a specific case is investigated. It is important to note that the porous piezoelectric bodies with dipolar structure considered in this study are of a general form, i.e., inhomogeneous and anisotropic.

CONTINUUM MECHANICS AND THERMODYNAMICS (2023)

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Article Multidisciplinary Sciences

Study of nonlinear quadratic convection on magnetized viscous fluid flow over a non-Darcian circular elastic surface via spectral approach

Lijun Zhang et al.

Summary: This study investigates the quadratic convection of magnetized viscous fluid flow on a circular elastic surface subjected to Rosseland nonlinear thermal radiation and the nonlinear Boussinesq approximation, while traversing through a Darcy-Brinkman-Forchheimer porous material. The energy equation considers the implications of heat source/sink, Joule heating, and viscous dissipation. Nonlinear systems are obtained by using suitable similarity variables and solved numerically using the spectral local linearization method (SLLM). The computational results of velocity and temperature profiles for nondimensional parameters are presented, along with a comparison with published results as a specific case of the investigation.

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE (2023)

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Article Multidisciplinary Sciences