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math.AP2025
Integrated Local Energy Decay for Waves with Time-Dependent Damping
Perry Kleinhenz, Michael McNulty
We prove integrated local energy decay for solutions of the damped wave equation with time-dependent damping satisfying an appropriate generalization of the geometric control condi…
math.AP2024
Singularity formation for the higher dimensional Skyrme model
Michael McNulty
This paper demonstrates that singularities form in the classical -dimensional, co-rotational Skyrme model. It was recently proven by Chen, Schörkhuber, and the author that t…
math.AP2023
Singularity formation for the higher dimensional Skyrme model in the strong field limit
Po-Ning Chen, Michael McNulty, Birgit Schörkhuber
This paper concerns the formation of singularities in the classical -dimensional, co-rotational Skyrme model. While it is well established that blowup is excluded in …