Zobrazeno 1 - 10 of 605 pro vyhledávání: '"D. J. Needham"'
1
Travelling wave solutions of the cubic nonlocal Fisher-KPP equation: I. General theory and the near local limit
Autor: J Billingham, D J Needham
Publikováno v: Nonlinearity. 35:6098-6123
We study non-negative travelling wave solutions, u ≡ U(x − ct) with constant wavespeed c > 0, of the cubic nonlocal Fisher-KPP equation in one spatial dimension, namely, ∂ u ∂ t = ∂ 2 u ∂ x 2 + u 2 1 − 1 λ ∫ − ∞ ∞ ϕ y − x λ
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a02418ac33de5b63ae9a5d6c0b662aad
https://doi.org/10.1088/1361-6544/ac98ea
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4
The Development of a Wax Layer on the Interior Wall of a Circular Pipe Transporting Heated Oil -- The Effects of Temperature Dependent Wax Conductivity
Autor: D. J. Needham, J. C. Meyer, Sophie Lauren Mason
In this paper we develop and significantly extend the thermal phase change model, introduced in [12], describing the process of paraffinic wax layer formation on the interior wall of a circular pipe transporting heated oil, when subject to external c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71f5aee64f18f8a7a203b044ea146632
http://arxiv.org/abs/2104.14298
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5
The Linearised Dam-Break Problem
Autor: D J Needham, S McGovern, J A Leach
Publikováno v: Series on Analysis, Applications and Computation ISBN: 9789813223875
The Linearised Dam-Break Problem
We employ the method of asymptotic coordinate expansions in time and space to determine the detailed structure of the solution to the linearised dambreak problem at the initial stage, in the far fields and at large time. We consider the situation whe
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::71bbe3736592b64a312f28dce629a315
https://doi.org/10.1142/10543
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6
The evolution to localized and front solutions in a non-Lipschitz reaction–diffusion Cauchy problem with trivial initial data
Autor: J. C. Meyer, D. J. Needham
Publikováno v: Journal of Differential Equations. 262:1747-1776
In this paper, we establish the existence of spatially inhomogeneous classical self-similar solutions to a non-Lipschitz semi-linear parabolic Cauchy problem with trivial initial data. Specifically we consider bounded solutions to an associated two-d
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63b4b3abe194a92aabd200a45f5df826
https://doi.org/10.1016/j.jde.2016.10.027
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7
Aspects of Hadamard well-posedness for classes of non-Lipschitz semilinear parabolic partial differential equations
Autor: D. J. Needham, J. C. Meyer
Publikováno v: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 146:777-832
We study classical solutions of the Cauchy problem for a class of non-Lipschitz semilinear parabolic partial differential equations in one spatial dimension with sufficiently smooth initial data. When the nonlinearity is Lipschitz continuous, results
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1f29fa314fc9ee539595a63d671e6666
https://doi.org/10.1017/s0308210515000712
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8
The Large-Time Solution of Burgers' Equation with Time- Dependent Coefficients. II. Algebraic Coefficients
Autor: F. B. Ali Sulaiman, J. A. Leach, D. J. Needham
Publikováno v: Studies in Applied Mathematics. 137:273-305
In this paper, we consider an initial-value problem for Burgers' equation with variable coefficients where x and t represent dimensionless distance and time, respectively, while , are given continuous functions of t ( > 0). In particular, we consider
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cced787e2551543d674c7dcc0a94f7f8
https://doi.org/10.1111/sapm.12130
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