3 papers
math.NA2025
Uniqueness of the inverse source problem for fractional diffusion-wave equations
Lingyun Qiu, Jiwoon Sim
This study addresses the inverse source problem for the fractional diffusion-wave equation, characterized by a source comprising spatial and temporal components. The investigation…
q-bio.PE2025
Shifts of dominant personality and spatial pattern formation due to spatially heterogeneous pollution
Tianxu Wang, Jiwoon Sim, Hao Wang
Personality traits, such as boldness and shyness, play a significant role in shaping the survival strategies of animals. Industrial pollution has long posed serious threats to ecos…
math.AP2025
Existence and asymptotic stability of a generic Lotka-Volterra system with nonlinear spatially heterogeneous cross-diffusion
Tianxu Wang, Jiwoon Sim, Hao Wang
This article considers a class of Lotka-Volterra systems with multiple nonlinear cross-diffusion, commonly known as prey-taxis models. The existence and stability of classic soluti…