Sookkyung Lim⁷ and Xiang Cheng^1,6

• ¹Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA
• ²National Institute for Mathematical Sciences, Daejeon 34047, Republic of Korea
• ³Department of Mechanical Engineering, University of Minnesota, Minneapolis, Minnesota 55455, USA
• ⁴Department of Mathematics, Chung-Ang University, Seoul 06974, Republic of Korea
• ⁵Department of Mechanical and Aerospace Engineering, University at Buffalo, Buffalo, New York 14260, USA
• ⁶Saint Anthony Falls Laboratory, University of Minnesota, Minneapolis, Minnesota 55414, USA
• ⁷Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221, USA