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math.AP2025
Quadratic Growth Model with Discontinuity: A Link between Monostable and Bistable Traveling Waves
Wonhyung Choi, Junsik Bae, Yong-Jung Kim
We classify traveling waves and stationary solutions of a reaction-diffusion equation arising in population dynamics with Allee-type effects. The reaction term is given by a quadra…
math.AP2024
Singularity formation of hydromagnetic waves in cold plasma
Junsik Bae, Junho Choi, Bongsuk Kwon
We study blow-up of the compressible fluid model introduced by Gardner and Morikawa, which describes the dynamics of a magnetized cold plasma. We propose sufficient condition…