Inverse problems of identifying the unknown transverse shear force in the Euler–Bernoulli beam with Kelvin–Voigt damping

S Kumarasamy, A Hasanov, A Dileep - Journal of Inverse and Ill …, 2024 - degruyter.com
In this paper, we study the inverse problems of determining the unknown transverse shear
force g⁢(t) in a system governed by the damped Euler–Bernoulli equation ρ⁢(x)⁢ ut⁢ t+ …

Determination of a spatial load in a damped Kirchhoff–Love plate equation from final time measured data

D Anjuna, K Sakthivel, A Hasanov - Inverse Problems, 2021 - iopscience.iop.org
In this paper, we study the inverse problem of determining an unknown spatial load F (x) in
the damped non-homogeneous isotropic rectangular Kirchhoff–Love plate equation ${\rho} …

Identification of the anti-diffusion coefficient for the linear Kuramoto-Sivashinsky equation

D Gajardo, A Mercado, JC Muñoz - Journal of Mathematical Analysis and …, 2021 - Elsevier
Abstract The Kuramoto-Sivashinsky equation is a fourth-order partial differential equation
used as a model for physical phenomena such as plane flame propagation and phase of …

Inverse Coefficient Problem for the Coupled System of Fourth and Second Order Partial Differential Equations

NK Murugesan, K Sakthivel, A Hasanov… - Applied Mathematics & …, 2024 - Springer
The study of the paper mainly focuses on recovering the dissipative parameter in a coupled
system formed by coupling a bilaplacian operator to a heat equation from final time …

Inverse coefficient problem for cascade system of fourth and second order partial differential equations

NK Murugesan, S Kumarasamy, A Hasanov… - arXiv preprint arXiv …, 2023 - arxiv.org
The study of the paper mainly focusses on recovering the dissipative parameter in a
cascade system coupling a bilaplacian operator to a heat equation from final time measured …

Inverse source problems for the Korteweg–de Vries–Burgers equation with mixed boundary conditions

C Montoya - Journal of Inverse and Ill-posed Problems, 2019 - degruyter.com
In this paper, we prove Lipschitz stability results for the inverse source problem of
determining the spatially varying factor in a source term in the Korteweg–de Vries–Burgers …

Inverse source problem for a generalized Korteweg–de Vries equation

A Arivazhagan, K Sakthivel… - Journal of Inverse and Ill …, 2021 - degruyter.com
In this paper, we consider a seventh-order generalized Korteweg–de Vries (GKdV) equation
and study the boundary stability results concerning the inverse problem of recovering a …

Reconstruction of a Space-Dependent Coefficient in a Linear Benjamin–Bona–Mahony Type Equation

FA Pipicano, JC Muñoz Grajales… - Computational Methods in …, 2021 - degruyter.com
In this paper, we consider the problem of reconstructing a space-dependent coefficient in a
linear Benjamin–Bona–Mahony (BBM)-type equation from a single measurement of its …

Inverse problem for a Cahn–Hilliard type system modeling tumor growth

K Sakthivel, A Arivazhagan, N Barani Balan - Applicable Analysis, 2022 - Taylor & Francis
In this paper, we address an inverse problem of reconstructing a space-dependent
semilinear coefficient in the tumor growth model described by a system of semilinear partial …