Zobrazeno 1 - 10
of 185
pro vyhledávání: '"Piotr Biler"'
Autor:
Lord, Nick
Publikováno v:
The Mathematical Gazette, 1991 Mar 01. 75(471), 125-126.
Externí odkaz:
https://www.jstor.org/stable/3619029
Publikováno v:
Journal of Differential Equations. 344:891-914
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f91dffe0c5f8a7895af1998b714bbb6e
https://doi.org/10.1016/j.jde.2022.11.018
https://doi.org/10.1016/j.jde.2022.11.018
Autor:
Nick Lord
Publikováno v:
The Mathematical Gazette. 75:125-126
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e6b183e86d4b60efec48b3b9249e1d6
https://doi.org/10.2307/3619029
https://doi.org/10.2307/3619029
Publikováno v:
Journal of Dynamics and Differential Equations
Journal of Dynamics and Differential Equations, 2022, 34, pp.3131--3141. ⟨10.1007/s10884-021-09998-w⟩
Journal of Dynamics and Differential Equations, 2022, 34, pp.3131--3141. ⟨10.1007/s10884-021-09998-w⟩
We consider the drift-diffusion equation $$\begin{aligned} u_t-\varepsilon \varDelta u+\nabla \cdot (u\ \nabla K*u)=0 \end{aligned}$$ in the whole space with global-in-time solutions bounded in all Sobolev spaces; for simplicity, we restrict ourselve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9ca171a6c80ee15d5dfee04cb900a2c
https://doi.org/10.1007/s10884-021-09998-w
https://doi.org/10.1007/s10884-021-09998-w
Publikováno v:
Journal of Differential Equations. 267:6352-6369
We consider the simplest parabolic-elliptic model of chemotaxis in the whole space in several dimensions. Criteria for the existence of radially symmetric global-in-time solutions in terms of suitable Morrey norms are derived.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::883d33f860af5010540071fca8fb4090
https://doi.org/10.1016/j.jde.2019.06.024
https://doi.org/10.1016/j.jde.2019.06.024
Autor:
Piotr Biler
Publikováno v:
Monatshefte für Mathematik. 189:611-624
Blowup analysis for solutions of a general evolution equation with nonlocal diffusion and localized source is performed. By comparison with recent results on global-in-time solutions, a dichotomy result is obtained.
Comment: 12
Comment: 12
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04be99bfec75da1f34bd6a4c11bc2af9
https://doi.org/10.1007/s00605-019-01269-7
https://doi.org/10.1007/s00605-019-01269-7
Autor:
Piotr Biler, Tadeusz Nadzieja
Publikováno v:
Problems and Examples in Differential Equations ISBN: 9781003066835
Problems and Examples in Differential Equations
Problems and Examples in Differential Equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::338a6ecca7e7fb53f8b7eca43e5930a2
https://doi.org/10.1201/9781003066835-2
https://doi.org/10.1201/9781003066835-2
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2021, 271, pp.1092--1108
Journal of Differential Equations, 2021, 271, pp.1092--1108. ⟨10.1016/j.jde.2020.09.035⟩
Journal of Differential Equations, Elsevier, 2021, 271, pp.1092--1108
Journal of Differential Equations, 2021, 271, pp.1092--1108. ⟨10.1016/j.jde.2020.09.035⟩
We consider the drift-diffusion equation u t − e Δ u + ∇ ⋅ ( u ∇ K ⁎ u ) = 0 in the whole space with global-in-time bounded solutions. Mass concentration phenomena for radially symmetric solutions of this equation with small diffusivity ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da22cdf987f457078eebcb6bf3b3e008