Andrew Ma
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Andrew Ma has a total of 5 co-authors. Here are the top co-authors by number of shared publications:
- Cole Graham
University of Wisconsin–Madison, Madison, USA
2 shared publications - David S. Weber
UC Davis One Shields Ave Davis CA USA
2 shared publications - Philip Isett
Department of Mathematics University of Texas at Austin Austin TX
1 shared publication - Tau Shean Lim
Departments of Mathematics, Duke University, Durham, NC, United States of America
1 shared publication - Tau Shean Lim1 shared publication
Latest Publications
- Open Access
A direct approach to nonuniqueness and failure of compactness for the SQG equation
We give an alternative proof of the nonuniqueness of weak solutions to the surface quasigeostrophic equation (SQG) first shown in [Buckmaster-Shkoller-Vicol, '16]. Our approach proceeds directly at the level of the scalar field. Furthermore, we prove that every smooth scalar field with compact support that conserves the integral can be realized as a weak limit of solutions to SQG.
Open AccessA direct approach to nonuniqueness and failure of compactness for the SQG equation
We give an alternative proof of the nonuniqueness of weak solutions to the surface quasigeostrophic equation (SQG) first shown in [Buckmaster-Shkoller-Vicol, '16]. Our approach proceeds directly at the level of the scalar field. Furthermore, we prove that every smooth scalar field with compact support that conserves the integral can be realized as a weak limit of solutions to SQG.
- 16 January 2018
- Published by IOP Publishing in Nonlinearity
- Vol. 31 (2) , 651-666
Existence and non-existence of transition fronts in mixed ignition-monostable media
We study transition fronts for one-dimensional reaction–diffusion equations with compactly-perturbed ignition-monostable reactions. We establish an almost sharp condition on reactions which characterizes the existence and non-existence of fronts. In particular, we prove that a strong inhomogeneity in the reaction prevents formation of transition fronts, while a weak inhomogeneity gives rise to a front. Our work extends the results and methods introduced in Nolen et al 2012 ( Arch. Ration. Mech. Anal . 203 217–46), which studied the same question in inhomogeneous KPP media.
- 16 January 2018
- Published by IOP Publishing in Nonlinearity
- Vol. 31 (2) , 651-666
Existence and non-existence of transition fronts in mixed ignition-monostable media
We study transition fronts for one-dimensional reaction–diffusion equations with compactly-perturbed ignition-monostable reactions. We establish an almost sharp condition on reactions which characterizes the existence and non-existence of fronts. In particular, we prove that a strong inhomogeneity in the reaction prevents formation of transition fronts, while a weak inhomogeneity gives rise to a front. Our work extends the results and methods introduced in Nolen et al 2012 ( Arch. Ration. Mech. Anal . 203 217–46), which studied the same question in inhomogeneous KPP media.
- Open Access
Existence and non-existence of transition fronts in mixed ignition-monostable media
We study transition fronts for one-dimensional reaction-diffusion equations with compactly perturbed ignition-monostable reactions. We establish an almost sharp condition on reactions which characterizes the existence and non-existence of fronts. In particular, we prove that a strong inhomogeneity in the reaction prevents formation of transition fronts, while a weak inhomogeneity gives rise to a front. Our work extends results and methods introduced by J. Nolen, J.M. Roquejoffre, L. Ryzhik, and A. Zlato\v{s}.
Open AccessExistence and non-existence of transition fronts in mixed ignition-monostable media
We study transition fronts for one-dimensional reaction-diffusion equations with compactly perturbed ignition-monostable reactions. We establish an almost sharp condition on reactions which characterizes the existence and non-existence of fronts. In particular, we prove that a strong inhomogeneity in the reaction prevents formation of transition fronts, while a weak inhomogeneity gives rise to a front. Our work extends results and methods introduced by J. Nolen, J.M. Roquejoffre, L. Ryzhik, and A. Zlato\v{s}.