Publication:
Existence and well-posed results for nonclassical diffusion systems with nonlocal diffusion
Existence and well-posed results for nonclassical diffusion systems with nonlocal diffusion
No Thumbnail Available
Files
Date
2023
Authors
Nguyen Huy Tuana,b, Donal O’Reganc, Nguyen Huu Cand,∗, Mai Quang Vinhe
Journal Title
Journal ISSN
Volume Title
Publisher
Research Projects
Organizational Units
Journal Issue
Abstract
"Our goal in this paper is to present well-posed results for nonclassical diffusion systems which
have applications in population dynamics. First, we establish the existence and uniqueness of a mild
solution to the initial value problem. The asymptotic behavior of the mild solution is also considered when
the parameter tends to zero. Second, we obtain a local well-posedness result for nonclassical diffusion
systems with a nonlocal time condition. The main idea to obtain the above theoretical results is to use
Banach’s theorem and some techniques in Fourier series analysis. Some numerical tests are also presented
to illustrate the theory."