Results 1 to 10 of about 5,863 (112)

Mathematical models for somite formation [PDF]

, 2007
Somitogenesis is the process of division of the anterior–posterior vertebrate embryonic axis into similar morphological units known as somites. These segments generate the prepattern which guides formation of the vertebrae, ribs and other associated ...
Armstrong, Aulehla, Aulehla, Aulehla, Baker, Baker, Baker, Chernoff, Collier, Cooke, Cooke, Cooke, Dale, Dale, Dale, del Barco Barrantes, Dequéant, Diez del Corral, Diez del Corral, Diez del Corral, Drake, Duband, Dubrulle, Dubrulle, Dubrulle, Dubrulle, Duguay, Foty, Galli, Giudicelli, Goldbeter, Gossler, Grima, Haraguichi, Hirata, Horikawa, Ishikawa, Jiang, Jiang, Kalcheim, Kulesa, Lewis, Maroto, McGrew, McGrew, McInerney, Meier, Molotkova, Monk, Moreno, Morimoto, Packard, Packard, Palmeirim, Pourquié, Pourquié, Pourquié, Pourquié, Pourquié, Pourquié, Primmett, Primmett, Rida, Saga, Schnell, Schnell, Schnell, Stockdale, Tabin, Takahashi, Takashi, Tam, Turner   +72 more
core   +3 more sources

A Variational Stereo Method for the Three-Dimensional Reconstruction of Ocean Waves [PDF]

, 2011
We develop a novel remote sensing technique for the observation of waves on the ocean surface. Our method infers the 3-D waveform and radiance of oceanic sea states via a variational stereo imagery formulation.
Benetazzo, Alvise, Fedele, Francesco, Gallego Bonet, Guillermo, Yezzi, Anthony   +3 more
core   +3 more sources

Analysis of the shearing instability in nonlinear convection and magnetoconvection [PDF]

, 1996
Numerical experiments on two-dimensional convection with or without a vertical magnetic field reveal a bewildering variety of periodic and aperiodic oscillations.
A M Rucklidge, Arnéodo A, Beyn W-J, Brownjohn D P, Brummell N, Champneys A R, Chandrasekhar S, Chui A Y K, Deardorff J W, Dellnitz M, Doedel E, Glendinning P, Glendinning P, Glendinning P, Glendinning P, Golubitsky M, Guckenheimer J, Howard L N, Hughes D W, Knobloch E, Krishnamurti R, Lythe G D, Massaguer J M, Matthews P C, Matthews P C, Moore D R, P C Matthews, Proctor M R E, Proctor M R E, Proctor M R E, Proctor M R E, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rüdiger G, Shil'nikov A L, Sparrow C, Tabeling P, Weiss N O, Willis G E   +41 more
core   +1 more source

Twistor Theory and Differential Equations [PDF]

, 2009
This is an elementary and self--contained review of twistor theory as a geometric tool for solving non-linear differential equations. Solutions to soliton equations like KdV, Tzitzeica, integrable chiral model, BPS monopole or Sine-Gordon arise from ...
Dunajski M, Dunajski M, Dunajski M Plansangkate P, Gindikin S G, Helgason S, Konopelchenko B G, Maciej Dunajski, Mason L J, Penrose R, Radon J, Ward R S, Ward R S   +11 more
core   +3 more sources

Travelling wave solutions in a negative nonlinear diffusion-reaction model

, 2020
We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion-reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest.
Li, Yifei, Marangell, Robert, Simpson, Matthew J., van Heijster, Peter   +3 more
core   +1 more source

Finite element methods for surface PDEs [PDF]

, 2013
In this article we consider finite element methods for approximating the solution of partial differential equations on surfaces. We focus on surface finite elements on triangulated surfaces, implicit surface methods using level set descriptions of the ...
Aragón, Barrett, Barrio, Charles M. Elliott, Ciarlet, Deckelnick, Deckelnick, Dedner, Dziuk, Dziuk, Elliott, Evans, Ganesan, Gerhard Dziuk, Gilbarg, Henderson, Lowengrub, Lubich, Macdonald, Rumpf, Schmidt, Sethian   +21 more
core   +1 more source

Models for information propagation on graphs

European Journal of Applied Mathematics
We propose and unify classes of different models for information propagation over graphs. In a first class, propagation is modelled as a wave, which emanates from a set of known nodes at an initial time, to all other unknown nodes at later times with an ...
Oliver R. A. Dunbar, Charles M. Elliott, Lisa Maria Kreusser   +2 more
doaj   +1 more source

Global wave-front sets of Banach, Fr{\'e}chet and Modulation space types, and pseudo-differential operators

, 2013
We introduce global wave-front sets $\operatorname{WF}_{{\mathcal B}} (f)$, $f\in {\mathscr S}^\prime(\textbf{R}^d)$, with respect to suitable Banach or Fr\'echet spaces ${\mathcal B}$.
Boggiatto, Cordes, Coriasco, Coriasco, Coriasco, Feichtinger, Feichtinger, Feichtinger, Folland, Gröchenig, Gröchenig, Holst, Hörmander, Hörmander, Hörmander, Joachim Toft, Karoline Johansson, Khrennikov, Kristensson, Luef, Luxemburg, Melrose, Parenti, Pilipović, Pilipović, Ruzhansky, Sandro Coriasco, Toft, Toft   +28 more
core   +1 more source

Completeness of the cubic and quartic H\'enon-Heiles Hamiltonians

, 2005
The quartic H\'enon-Heiles Hamiltonian $H = (P_1^2+P_2^2)/2+(\Omega_1 Q_1^2+\Omega_2 Q_2^2)/2 +C Q_1^4+ B Q_1^2 Q_2^2 + A Q_2^4 +(1/2)(\alpha/Q_1^2+\beta/Q_2^2) - \gamma Q_1$ passes the Painlev\'e test for only four sets of values of the constants ...
A. P. Fordy, A. P. Fordy, A. Ramani, A. Ramani, B. Grammaticos, C. M. Cosgrove, C. Verhoeven, C. Verhoeven, C. Verhoeven, C. Verhoeven, C. Verhoeven, D. Mumford, J. Drach, J. Hietarinta, J. Hietarinta, M. Henon, M. Musette, M. Musette, N. Farkas, R. Conte, R. Conte, R. Conte, R. Conte, S. Abenda, S. Baker, S. Baker, S. Wojciechowski, T. Bountis, V. G. Drinfeld, V. I. Arnold, V. Ravoson, V. Ravoson, Y. F. Chang   +32 more
core   +1 more source

Application of linear hyperbolic PDE to linear quantum fields in curved spacetimes: especially black holes, time machines and a new semi-local vacuum concept [PDF]

, 2000
Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. For example, the quantum Dirac field in a strong and/or time-dependent external electromagnetic field
Kay, Bernard S.
core   +3 more sources