3 papers
math.AP2026
Construction of infinite time bubble tower solutions to critical wave maps equation
Seunghwan Hwang, Kihyun Kim
We construct infinite time bubble tower solutions to the critical wave maps equation taking values in the two-sphere. More precisely, for any integers and , we con…
math.AP2026
Rigidity results in multi-bubble dynamics for non-radial energy-critical heat equation
Kihyun Kim, Frank Merle
This paper concerns the classification of asymptotic behaviors in multi-bubble dynamics for the energy-critical nonlinear heat equations in large dimensions without symmet…
math.AP2025
On classification of global dynamics for energy-critical equivariant harmonic map heat flows and radial nonlinear heat equation
Kihyun Kim, Frank Merle
We consider the global dynamics of finite energy solutions to energy-critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that a…