3 papers
nlin.PS2026
Bifurcation structure and mesa pattern formation in a one-component nonlocal adhesion model with population pressure and degenerate mobility
Shimpei Makida, Hideki Murakawa
We analyze pattern formation from a homogeneous steady state in a one-component nonlocal adhesion model with population pressure and degenerate mobility. First, using linear stabil…
math.AP2025
On the Gromov--Hausdorff stability of metric viscosity solutions
Shimpei Makida
We establish the stability of metric viscosity solutions to first-order Hamilton--Jacobi equations under Gromov--Hausdorff convergence. Our proof combines a characterization of met…
math.AP2024
Stability of metric viscosity solutions under Hausdorff convergence
Shimpei Makida, Atsushi Nakayasu
This study investigated the stability of Hamilton--Jacobi equation on general metric spaces with a perturbation in some whole space. This type of stability appears in the domain pe…