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math.AP2023
Fronts under arrest II: analytical foundations
James H. von Brecht, Scott G. McCalla, Eun Heui Kim
We study a class of minimal geometric partial differential equations that serves as a framework to understand the evolution of boundaries between states in different pattern formin…
math.AP2017
A variational inequality formulation for transonic compressible steady potential flows: Radially symmetric transonic shock
Yung-Sze Choi, Eun Heui Kim
We establish a variational inequality formulation that captures the transonic shock for a steady compressible potential flow. Its critical point satisfies the transonic equation; m…
math.AP2016★ 5 cited
Two Dimensional Riemann Problems for the Nonlinear Wave System: Rarefaction Wave Interactions
Eun Heui Kim, Charis Tsikkou
We analyze rarefaction wave interactions of self-similar transonic irrotational flow in gas dynamics for the two dimensional Riemann problems. We establish the existence result of…