Categories
 Attractors (12)
 Entropy (8)
 Everyday ArXiv (6)
 General Maths (2)
 Uncategorized (3)

Recent Posts
 [4.5.2016] Fujita blow up phenomena and hair trigger effect: the role of dispersal tails
 [3.5.2016] Global existence and Regularity results for strongly coupled nonregular parabolic systems via Iterative methods
 [29.4.2016] Dynamics near the ground state for the energy critical nonlinear heat equation in large dimensions
 [28.4.2016] Global classical solutions of the VlasovFokkerPlanck equation with local alignment forces
 [27.4.2016] Generalized entropy method for the renewal equation with measure data
Blogroll
Author Archives: baotangquoc
[4.5.2016] Fujita blow up phenomena and hair trigger effect: the role of dispersal tails
Today ArXiv will be this paper of Matthieu Alfaro. Firstly, a side interesting fact is the term “hair trigger effect”, which sounds cool to me 🙂 It can be translated naively as “adding just a small hair could change everything”. … Continue reading
Posted in Everyday ArXiv
Leave a comment
[3.5.2016] Global existence and Regularity results for strongly coupled nonregular parabolic systems via Iterative methods
Today post is not a new ArXiv article but instead referred from such an article. While reading the Introduction of this (today) ArXiv paper of Dung Le, I came to another old ArXiv paper of him which I’m going to write about … Continue reading
Posted in Everyday ArXiv
Leave a comment
[29.4.2016] Dynamics near the ground state for the energy critical nonlinear heat equation in large dimensions
In this post, we talked about a paper concerning the, roughly speaking, blowup profiles of solutions to the critical heat equation in large dimensions (). In the ArXiv paper of C. Collot, F. Merle and P. Raphael today, they study … Continue reading
Posted in Everyday ArXiv
Leave a comment
[28.4.2016] Global classical solutions of the VlasovFokkerPlanck equation with local alignment forces
YoungPil Choi studied in this paper the existence and large time behaviour of solution to the following nonlinear VlasovFokkerPlanck equation where and Assuming the initial data close enough to the global Maxwellian the author proved that the solution to the … Continue reading
Posted in Everyday ArXiv
Leave a comment
[27.4.2016] Generalized entropy method for the renewal equation with measure data
In this paper of P. Gwiazda and E. Wiedemann, they apply the generalized entropy method, which is initated in a series of work of B. Perthame and collaborators, cf. this paper, to show the exponential convergence to equilibrium for the … Continue reading
Posted in Everyday ArXiv
Leave a comment
[26.4.2016] Green’s function and infinitetime bubbling in the critical nonlinear heat equation
In this paper of Carmen Cortazar, Manuel del Pino, Monica Musso they studied the profile of solutions which blowup in infinite time of the critical nonlinear heat equation in a bounded domain with . The solutions are shown to have bubbling type of … Continue reading
Posted in Everyday ArXiv
1 Comment
Why study “pullback attractors”?
Pullback attractors for PDE systems was my first research project. Consider a nonautonomous (partial) differential equation, with , with for a Banach space . If the evolution equation has a unique solution in for each , the it generates an evolution … Continue reading