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pro vyhledávání: '"Philip Broadbridge"'
Autor:
Philip Broadbridge, Kathryn Deutscher
Publikováno v:
Symmetry, Vol 12, Iss 6, p 943 (2020)
For a scalar field in an exponentially expanding universe, constituent modes of elementary excitation become unstable consecutively at shorter wavelength. After canonical quantization, a Bogoliubov transformation reduces the minimally coupled scalar
Externí odkaz:
https://doaj.org/article/172309d2daf449c38554e58c03d344cd
Publikováno v:
Entropy, Vol 22, Iss 2, p 217 (2020)
This paper investigates solutions of hyperbolic diffusion equations in R 3 with random initial conditions. The solutions are given as spatial-temporal random fields. Their restrictions to the unit sphere S 2 are studied. All assumptions are formulate
Externí odkaz:
https://doaj.org/article/de9922eb423847c38b4373d4ac271e86
Autor:
Philip Broadbridge
Publikováno v:
Symmetry, Vol 7, Iss 4, Pp 1803-1815 (2015)
The most general second order irrotational vector field evolution equation is constructed, that can be transformed to a single equation for the Cole–Hopf potential. The exact solution to the radial Burgers equation, with constant mass influx throug
Externí odkaz:
https://doaj.org/article/1c3ccc501b084e1b854fc36c353a505a
Autor:
Philip Broadbridge, Joanna M. Goard
Publikováno v:
Symmetry, Vol 11, Iss 6, p 804 (2019)
An explicit mapping is given from the space of general complex meromorphic functions to a space of special time-dependent solutions of the 1 + 2-dimensional nonlinear diffusion equation with diffusivity depending on concentration as D = 1 / u. These
Externí odkaz:
https://doaj.org/article/5a4c09ecd19d45cd9e731df815bd6737
Autor:
Philip Broadbridge, Naghmana Tehseen
Publikováno v:
Entropy, Vol 14, Iss 7, Pp 1127-1139 (2012)
The general quasi-linear autonomous fourth order diffusion equation ut = −[G(u)uxxx + h(u, ux, uxx)]x with positive variable diffusivity G(u) and lower-order flux component h is considered on the real line. A direct algorithm produces a general cla
Externí odkaz:
https://doaj.org/article/6f37fa61820c4a138ece78caadcf73b4
Publikováno v:
Symmetry, Vol 10, Iss 3, p 72 (2018)
Using the nonclassical symmetry of nonlinear reaction–diffusion equations, some exact multi-dimensional time-dependent solutions are constructed for a fourth-order Allen–Cahn–Hilliard equation. This models a phase field that gives a phenomenolo
Externí odkaz:
https://doaj.org/article/dab4a4e6d6724730aac5fcda61b7f0d9
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 8, p 089 (2012)
Olver and Rosenau studied group-invariant solutions of (generally nonlinear) partial differential equations through the imposition of a side condition. We apply a similar idea to the special case of finite-dimensional Hamiltonian systems, namely Hami
Externí odkaz:
https://doaj.org/article/8e3d210b1a6e479f93a220cb93823111
Autor:
Philip Broadbridge, Peter Vassiliou
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 052 (2011)
With few exceptions, known explicit solutions of the curve shortening flow (CSE) of a plane curve, can be constructed by classical Lie point symmetry reductions or by functional separation of variables. One of the functionally separated solutions is
Externí odkaz:
https://doaj.org/article/75fdf100f0144b4aa7f57838bff853aa
Autor:
A.J. Hutchinson, Philip Broadbridge
Publikováno v:
Applied Mathematical Modelling. 102:748-767
Sustainable natural resource management strategies are required to maintain a fishery. One common device is to designate a No-Take Area (NTA) or a less restrictive Marine Protected Area (MPA) within a fishery. In this work, exact time-dependent solut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb1c0f3ba520bba8044e7b8720135a6c
https://doi.org/10.1016/j.apm.2021.10.013
https://doi.org/10.1016/j.apm.2021.10.013