Author Archives: baotangquoc

About baotangquoc

Lecturer School of Applied Mathematics and Informatics Hanoi University of Science and Technology No 1, Dai Co Viet Street, Hanoi

Stabilisation by noise on the boundary with dynamical boundary conditions

Together with Klemens Fellner, Stefanie Sonner, and Do Duc Thuan, I have uploaded a paper on arXiv, which deals with stabilising effect of noise on the boundary for a Chafee-Infante equation with dynamical boundary conditions. Certain dissipative PDEs have either … Continue reading

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[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

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[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

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[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, blow-up 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

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[28.4.2016] Global classical solutions of the Vlasov-Fokker-Planck equation with local alignment forces

Young-Pil Choi studied in this paper the existence and large time behaviour of solution to the following nonlinear Vlasov-Fokker-Planck equation where and Assuming the initial data close enough to the global Maxwellian the author proved that the solution to the … Continue reading

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[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

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[26.4.2016] Green’s function and infinite-time 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 blow-up in in-finite time of the critical nonlinear heat equation in a bounded domain with . The solutions are shown to have bubbling type of … Continue reading

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