2 papers
math.AP2026
Inertial manifolds for the nonlocal parabolic problem
Xiaoqing Yang, Alexandre N. Carvalho, Chunyou Sun
This paper provides an abstract framework for studying inertial manifolds associated with a class of nonlocal parabolic problems. In particular, by suitably modifying the nonlocal…
math.DS2026
Smoothness of Inertial Manifold for the Burgers Equation
Ziqi Niu, Xinhua Li, Chunyou Sun +1
This paper establishes a -smooth extension of the inertial manifold for the one-dimensional Burgers equation, which demonstrates that its long-time behavior c…