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@article{78141, author = {Hasík, Karel and Kopfová, Jana and Nábělková, Petra and Trofymchuk, Olena and Trofimchuk, Sergei}, article_location = {San DIego}, article_number = {december}, doi = {http://dx.doi.org/10.1016/j.jde.2023.08.013}, keywords = {Nonlocal delay; Wavefront; Reaction-diffusion; Belousov-Zhabotinsky reaction}, language = {eng}, issn = {0022-0396}, journal = {Journal of Differential Equations}, title = {Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction}, url = {https://www.sciencedirect.com/science/article/pii/S0022039623005478?via%3Dihub}, volume = {376}, year = {2023} }
TY - JOUR ID - 78141 AU - Hasík, Karel - Kopfová, Jana - Nábělková, Petra - Trofymchuk, Olena - Trofimchuk, Sergei PY - 2023 TI - Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction JF - Journal of Differential Equations VL - 376 IS - december SP - 102-125 EP - 102-125 PB - Academic Press Inc. Elsevier Science SN - 00220396 KW - Nonlocal delay KW - Wavefront KW - Reaction-diffusion KW - Belousov-Zhabotinsky reaction UR - https://www.sciencedirect.com/science/article/pii/S0022039623005478?via%3Dihub N2 - We prove the existence of the minimal speed of propagation c(*)(r, b, K) is an element of [2 root 1 - r, 2] for wavefronts in the Belousov-Zhabotinsky system with a spatiotemporal interaction defined by the convolution with (possibly, "fat-tailed") kernel K. The model is assumed to be monostable non-degenerate, i.e. r is an element of (0, 1). The slowest wavefront is termed pushed or nonlinearly determined if its velocity c(*)(r, b, K) > 2 root/1 - r. We show that c(*)(r, b, K) is close to 2 if i) positive system's parameter b is sufficiently large or ii) K is spatially asymmetric to one side (e.g. to the left: in such a case, the influence of the right side concentration of the bromide ion on the dynamics is more significant than the influence of the left side). Consequently, this reveals two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky reaction ER -
HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ, Olena TROFYMCHUK a Sergei TROFIMCHUK. Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction. \textit{Journal of Differential Equations}. San DIego: Academic Press Inc. Elsevier Science, 2023, roč.~376, december, s.~102-125. ISSN~0022-0396. Dostupné z: https://dx.doi.org/10.1016/j.jde.2023.08.013.
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