Work

Optimal Shape Design of 1D Fractional Order Heat Equation in Large Time

Year: 2024

Type: article

Abstract: In this paper, we consider an optimal design problem for the 1D nonlocal heat equations involving the fractional Laplacian $$(-\frac{d^2}{dx^2})^s (0\frac{1}{2}$$ , the nonlocal parabolic optimal designs converge, in the complementary Hausdorff topology, to an optimal design for the corresponding stationary nonlocal elliptic equation when time tends to infinity.

Source: Journal of Nonlinear Mathematical Physics

DOI: 10.1007/s44198-024-00246-5

Authors: Xiaoli Wang, Zhen Yang

Institutions: Henan University of Technology, Hubei University of Technology

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,390

Funders: Henan University of Technology, Henan University, Natural Science Foundation of Henan Province