Outputs (112)

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.

Generalized Swift–Hohenberg and phase-field-crystal equations based on a second-gradient phase-field theory (2020)
Journal Article
Espath, L., Calo, V. M., & Fried, E. (2020). Generalized Swift–Hohenberg and phase-field-crystal equations based on a second-gradient phase-field theory. Meccanica, 55(10), 1853-1868. https://doi.org/10.1007/s11012-020-01228-9

The principle of virtual power is used derive a microforce balance for a second-gradient phase-field theory. In conjunction with constitutive relations consistent with a free-energy imbalance, this balance yields a broad generalization of the Swift–H... Read More about Generalized Swift–Hohenberg and phase-field-crystal equations based on a second-gradient phase-field theory.

Thin-layer solutions of the Helmholtz equation (2020)
Journal Article
Ockendon, J., & Tew, R. (2021). Thin-layer solutions of the Helmholtz equation. European Journal of Applied Mathematics, 32(5), 769-783. https://doi.org/10.1017/S0956792520000364

This paper gives a brief overview of some configurations in which highfrequency wave propagation modelled by Helmholtz equation gives rise to solutions that vary rapidly across thin layers. The configurations are grouped according to their mathematic... Read More about Thin-layer solutions of the Helmholtz equation.

Magnetically induced Rayleigh-Taylor instability under rotation: Comparison of experimental and theoretical results (2020)
Journal Article
Scase, M., Baldwin, K., & Hill, R. (2020). Magnetically induced Rayleigh-Taylor instability under rotation: Comparison of experimental and theoretical results. Physical Review E, 102(4), Article 043101. https://doi.org/10.1103/PhysRevE.102.043101

© 2020 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the a... Read More about Magnetically induced Rayleigh-Taylor instability under rotation: Comparison of experimental and theoretical results.

Bank–Laine functions, the Liouville transformation and the Eremenko–Lyubich class (2020)
Journal Article
Langley, J. K. (2020). Bank–Laine functions, the Liouville transformation and the Eremenko–Lyubich class. Journal d'Analyse Mathématique, 141(1), 225-246. https://doi.org/10.1007/s11854-020-0115-6

The Bank–Laine conjecture concerning the oscillation of solutions of second order homogeneous linear differential equations has recently been disproved by Bergweiler and Eremenko. It is shown here, however, that the conjecture is true if the set of f... Read More about Bank–Laine functions, the Liouville transformation and the Eremenko–Lyubich class.

Integrability and asymptotic behaviour of a differential-difference matrix equation (2020)
Journal Article
Gordoa, P. R., Pickering, A., & Wattis, J. A. (2021). Integrability and asymptotic behaviour of a differential-difference matrix equation. Physica D: Nonlinear Phenomena, 415, Article 132754. https://doi.org/10.1016/j.physd.2020.132754

In this paper we consider the matrix lattice equation U_{n,t} (U_{n+1} − U_{n−1} ) = g(n)I, in both its autonomous (g(n) = 2) and nonautonomous (g(n) = 2n − 1) forms. We show that each of these two matrix lattice equations are integrable. In addition... Read More about Integrability and asymptotic behaviour of a differential-difference matrix equation.

Bank-Laine functions with real zeros (2020)
Journal Article
Langley, J. K. (2020). Bank-Laine functions with real zeros. Computational Methods and Function Theory, 20, 653-665. https://doi.org/10.1007/s40315-020-00342-9

Suppose that E is a real entire function of finite order with zeros which are all real but neither bounded above nor bounded below, such that E (z) = ±1 whenever E(z) = 0. Then either E has an explicit representation in terms of trigonometric functio... Read More about Bank-Laine functions with real zeros.

Sparse and switching infinite horizon optimal controls with mixed-norm penalizations (2020)
Journal Article
Kalise, D., Kunisch, K., & Rao, Z. (2020). Sparse and switching infinite horizon optimal controls with mixed-norm penalizations. ESAIM: Control, Optimisation and Calculus of Variations, 26, https://doi.org/10.1051/cocv/2019038

© 2020 EDP Sciences, SMAI. A class of infinite horizon optimal control problems involving mixed quasi-norms of Lp-type cost functionals for the controls is discussed. These functionals enhance sparsity and switching properties of the optimal controls... Read More about Sparse and switching infinite horizon optimal controls with mixed-norm penalizations.

Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics (2020)
Journal Article
Fadai, N. T., Johnston, S. T., & Simpson, M. J. (2020). Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476(2241), Article 20200350. https://doi.org/10.1098/rspa.2020.0350

We present a solid theoretical foundation for interpreting the origin of Allee effects by providing the missing link in understanding how local individual-based mechanisms translate to global population dynamics. Allee effects were originally propose... Read More about Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics.