arXiv subjects

Seyyid Ali Benabdallah

Publications and source records attributed to Seyyid Ali Benabdallah.

2 recordsLinked to original sources

arXiv2025

Existence and Uniqueness of Local and Global Solutions for a Partial Differential-Algebraic Equation of Index One

In this paper, we use the theory of nonlinear semigroups to establish the existence and uniqueness of both local and global solutions for a partial differential-algebraic equation (PDAE) of index one. This method is applied to a reaction-diffusion system coupled with an elliptic equation in one dimension by transforming the PDAE into a system of linear evolution equations with a Lipschitz-continuous perturbation

math.AP↗

arXiv2025

Existence and Uniqueness of Local Solutions for a Class of Partial Differential-Algebraic Equations

In this work, we present a result on the local existence and uniqueness of solutions to nonlinear Partial Differential-Algebraic Equations (PDAEs). By applying established theoretical results, we identify the conditions that guarantee the existence of a unique local solution. The analysis relies on techniques from functional analysis, semi-group theory, and the theory of differential-algebraic systems. Additionally, we provide applications to illustrate the effectiveness of this result.

math.AP↗