Non-uniform Dependence on Initial Data for the Camassa–Holm Equation in the Critical Besov Space
نویسندگان
چکیده
Whether or not the data-to-solution map of Cauchy problem for Camassa–Holm equation and Novikov in critical Besov space $$B_{2,1}^{3/2}({\mathbb {R}})$$ is uniformly continuous remains open. In paper, we aim at solving open question left previous works (Li et al. J Differ Equ 269:8686–8700, 2020a; Math Fluid Mech 22:50, 2020b) giving a negative answer to this problem.
منابع مشابه
the effect of using critical discourse analytical tools on the improvement of the learners level of critical thinking in reading comprehension
?it is of utmost priority for an experienced teacher to train the mind of the students, and enable them to think critically and correctly. the most important question here is that how to develop such a crucial ability? this study examines a new way to the development of critical thinking utilizing critical discourse analytical tools. to attain this goal, two classes of senior english la...
the search for the self in becketts theatre: waiting for godot and endgame
this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...
15 صفحه اولGlobal Well-posedness for the 2d Quasi-geostrophic Equation in a Critical Besov Space
We show that the 2D quasi-geostrophic equation has global and unique strong solution when the (large) data belongs in the critical scale invariant space Ḃ2−2α 2,∞ ∩ L2/(2α−1).
متن کاملthe effects of changing roughness on the flow structure in the bends
flow in natural river bends is a complex and turbulent phenomenon which affects the scour and sedimentations and causes an irregular bed topography on the bed. for the reason, the flow hydralics and the parameters which affect the flow to be studied and understand. in this study the effect of bed and wall roughness using the software fluent discussed in a sharp 90-degree flume bend with 40.3cm ...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Fluid Mechanics
سال: 2021
ISSN: ['1422-6952', '1422-6928']
DOI: https://doi.org/10.1007/s00021-021-00571-5