All Outputs (4)

Type II singularities on complete non-compact Yamabe flow (2020)
Journal Article
Choi, B., Daskalopoulos, P., & King, J. (2021). Type II singularities on complete non-compact Yamabe flow. Journal für die reine und angewandte Mathematik, 2021(772), 83-119. https://doi.org/10.1515/crelle-2020-0032

This work concerns with the existence and detailed asymptotic analysis of Type II singularities for solutions to complete non-compact confor-mally flat Yamabe flow with cylindrical behavior at infinity. We provide the specific blow-up rate of the max... Read More about Type II singularities on complete non-compact Yamabe flow.

Type II Singularities on complete non-compact Yamabe flow (2020)
Journal Article
Choi, B., Daskalopoulos, P., & King, J. (2021). Type II Singularities on complete non-compact Yamabe flow. Journal für die reine und angewandte Mathematik, 2021(772), 83-119. https://doi.org/10.1515/crelle-2020-0032

This work concerns with the existence and detailed asymptotic analysis of Type II singularities for solutions to complete non-compact confor-mally flat Yamabe flow with cylindrical behavior at infinity. We provide the specific blow-up rate of the max... Read More about Type II Singularities on complete non-compact Yamabe flow.

A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm (2020)
Journal Article
Dalwadi, M. P., & King, J. R. (2020). A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm. SIAM Journal on Applied Mathematics, 80(4), 1723-1750. https://doi.org/10.1137/19m130220x

When modelling transport of a chemical species to a colony of bacteria in a biofilm, it is computationally expensive 4 to treat each bacterium even as a point sink, let alone to capture the finite nature of each bacterium. Instead, models tend to 5 t... Read More about A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm.

An asymptotic analysis of the malonyl-CoA route to 3-hydroxypropionic acid in genetically engineered microbes (2020)
Journal Article
Dalwadi, M. P., & King, J. R. (2020). An asymptotic analysis of the malonyl-CoA route to 3-hydroxypropionic acid in genetically engineered microbes. Bulletin of Mathematical Biology, 82, Article 36. https://doi.org/10.1007/s11538-020-00714-1

There has been recent interest in creating an efficient microbial production route for 3-hydroxypropionic acid, an important platform chemical. We develop and solve a mathematical model for the time-dependent metabolite concentrations in the malonyl-... Read More about An asymptotic analysis of the malonyl-CoA route to 3-hydroxypropionic acid in genetically engineered microbes.