Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Jonathan H. B. Deane"'
Publikováno v:
Nonlinear Differential Equations and Applications NoDEA. 28
We exhibit a family of convex functionals with infinitely many equal-energy $$C^1$$ C 1 stationary points that (i) occur in pairs $$v_{\pm }$$ v ± satisfying $$\det \nabla v_{\pm }=1$$ det ∇ v ± = 1 on the unit ball B in $${\mathbb {R}}^2$$ R 2 a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aeccbdffd3b3ca1087a8f5067b1acb37
https://doi.org/10.1007/s00030-020-00667-3
https://doi.org/10.1007/s00030-020-00667-3
Publikováno v:
Calculus of Variations and Partial Differential Equations. 60
We show that theN-covering map, which in complex coordinates is given by$$u_{_{\scriptscriptstyle {N}}}(z):=z \mapsto z^{N}/\sqrt{N}|z|^{N-1}$$uN(z):=z↦zN/N|z|N-1and whereNis a natural number, is a global minimizer of the Dirichlet energy$$\mathbb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5547b9b4ccb98ddd9b8108e6d8454bf2
https://doi.org/10.1007/s00526-020-01846-x
https://doi.org/10.1007/s00526-020-01846-x
Publikováno v:
SIAM Journal on Mathematical Analysis. 50:2566-2587
In this paper we give an explicit sufficient condition for the affine map $u_\lambda(x):=\lambda x$ to be the global energy minimizer of a general class of elastic stored-energy functionals $I(u)=\...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44ad2ffe48d108e9ce03cab30c69ca15
https://doi.org/10.1137/17m1141837
https://doi.org/10.1137/17m1141837
Autor:
Robert A. Dorey, R.D.I.G. Dharmasena, J.V. Anguita, K.D.G.I. Jayawardena, Christopher A. Mills, Jonathan H. B. Deane, S. R. P. Silva
Publikováno v:
Energy & Environmental Science. 10:1801-1811
A new model which comprehensively explains the working principles of contact-mode triboelectric nanogenerators (TENGs) based on Maxwell's equations is presented. Unlike previous models which are restricted to known simple geometries and derived using
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b454d0b22044579fdcdf74ebff6f7939
https://doi.org/10.1039/c7ee01139c
https://doi.org/10.1039/c7ee01139c
We consider the Modified Kuramoto-Sivashinky Equation (MKSE) in one and two space dimensions and we obtain explicit and accurate estimates of various Sobolev norms of the solutions. In particular, by using the sharp constants which appear in the func
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::682cfbc00c82d68e2d806b2daf5625ca
https://surrey.eprints-hosting.org/852044/
https://surrey.eprints-hosting.org/852044/
We consider, from a mathematical perspective, the power generated by a contact-mode triboelectric nanogenerator, an energy harvesting device that has been thoroughly studied recently. We encapsulate the behaviour of the device in a differential equat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad602ee08f6afd8c51312211a3684d35
https://surrey.eprints-hosting.org/849522/
https://surrey.eprints-hosting.org/849522/
The Wirtz pump is not only an excellent example of alternative technology, using as it does the kinetic energy of a stream to raise a proportion of its water, but its mathematical modelling also poses several intriguing problems. We give some history
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca77a70600331cb95d1c193ddffb4d31
https://surrey.eprints-hosting.org/845897/
https://surrey.eprints-hosting.org/845897/
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 29:72-87
We consider dissipative periodically forced systems and investigate cases in which having information as to how the system behaves for constant dissipation may be used when dissipation varies in time before settling at a constant final value. First,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a130a630cab245fe9b9b431d5c160e5e
https://doi.org/10.1016/j.cnsns.2015.04.021
https://doi.org/10.1016/j.cnsns.2015.04.021
Publikováno v:
2017 30th International Vacuum Nanoelectronics Conference (IVNC).
This Poster outlines simple general derivations of the correction factors λ T =πp/sin(πp) and λ F =πq/sin(πq) that first appeared in this form in the 1973 re-formulation by Swanson and Bell of equations originally derived by Murphy and Good in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6680a48401e188a49e18db43a4a68e80
https://doi.org/10.1109/ivnc.2017.8051626
https://doi.org/10.1109/ivnc.2017.8051626
Mercury is entrapped in a 3:2 resonance: it rotates on its axis three times for every two revolutions it makes around the Sun. It is generally accepted that this is due to the large value of the eccentricity of its orbit. However, the mathematical mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::699bc3bca424206af908c569c1a099f8
https://surrey.eprints-hosting.org/813906/
https://surrey.eprints-hosting.org/813906/