Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Björn de Rijk"'
Publikováno v:
Communications in Mathematical Physics. 400:277-314
The real Ginzburg–Landau equation arises as a universal amplitude equation for the description of pattern-forming systems exhibiting a Turing bifurcation. It possesses spatially periodic roll solutions which are known to be stable against localized
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ebcf4d8c5753768cc4a05525cb44960
https://doi.org/10.1007/s00220-022-04619-z
https://doi.org/10.1007/s00220-022-04619-z
Autor:
Dmitry E. Pelinovsky, Björn de Rijk
Publikováno v:
Nonlinear Dynamics. 111:3679-3687
We consider multiple shock waves in the Burgers' equation with a modular advection term. It was previously shown that the modular Burgers' equation admits a traveling viscous shock with a single interface, which is stable against smooth and exponenti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56d9fc57c214953ac365fcc06dd21c94
https://doi.org/10.1007/s11071-022-07873-x
https://doi.org/10.1007/s11071-022-07873-x
Autor:
Ryan Goh, Björn de Rijk
Publikováno v:
Nonlinearity. 35:170-244
We consider pattern-forming fronts in the complex Ginzburg–Landau equation with a traveling spatial heterogeneity which destabilises, or quenches, the trivial ground state while progressing through the domain. We consider the regime where the heter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6598f6dcf22822526abe1a8d787bfd6
https://doi.org/10.1088/1361-6544/ac355b
https://doi.org/10.1088/1361-6544/ac355b
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77e9ea5b1d2df5b0100ab20bda08055b
https://doi.org/10.4171/aihpc/65
https://doi.org/10.4171/aihpc/65
Publikováno v:
Nonlinearity, 35 (11), 5903–5937
Using various techniques from dynamical systems theory, we rigorously study an experimentally validated model by [Barkley et al 2015 Nature 526 550–3], which describes the rise of turbulent pipe flow via a PDE system of reduced complexity. The fast
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f33545d070906e993da239a405310e62
Autor:
Björn de Rijk, Guido Schneider
It is well-known that quadratic or cubic nonlinearities in reaction-diffusion-advection systems can lead to growth of solutions with small, localized initial data and even finite time blow-up. It was recently proved, however, that, if the components
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0dd8f299862821905d2b8c9667aea84
http://arxiv.org/abs/2007.10789
http://arxiv.org/abs/2007.10789
Publikováno v:
Discrete and Continuous Dynamical Systems - S. 15:i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fcd30c3f7ed9f1b43e7240240121843
https://doi.org/10.3934/dcdss.2022132
https://doi.org/10.3934/dcdss.2022132
Autor:
Bjorn Sandstede, Björn De Rijk
Publikováno v:
Journal of Differential Equations. 265:5315-5351
Planar wave trains are traveling wave solutions whose wave profiles are periodic in one spatial direction and constant in the transverse direction. In this paper, we investigate the stability of planar wave trains in reaction-diffusion systems. We es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa0064b25827b5893d5e37842a6d2c2c
https://doi.org/10.1016/j.jde.2018.07.011
https://doi.org/10.1016/j.jde.2018.07.011
Autor:
Björn de Rijk
Publikováno v:
SIAM Journal on Mathematical Analysis. 50:1958-2019
In the stability analysis of pulse patterns in singularly perturbed reaction-diffusion systems, the scale separation is often exploited to reduce complexity. There are various methods to decompose the spectrum of the linearization about the pattern i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88b7edecfdf755519f5b6bc6e800a85a
https://doi.org/10.1137/17m1127594
https://doi.org/10.1137/17m1127594
Autor:
Björn Sandstede, Björn de Rijk
Publikováno v:
Journal of Differential Equations. 274:1221-1222
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c22dd0308cedf5aecf57581479d8c29
https://doi.org/10.1016/j.jde.2020.10.026
https://doi.org/10.1016/j.jde.2020.10.026