10 Papers
56 Citations
Fuqin Sun is an academic researcher from Tianjin University of Technology and Education. The author has contributed to research in topics: Nonlinear system & Hyperbolic partial differential equation. The author has an hindex of 6, co-authored 8 publications.
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Papers
Global and blow-up solutions for a system of nonlinear hyperbolic equations with dissipative terms☆
Fuqin Sun,Mingxin Wang +1 more
TL;DR: In this article, a nonlinear hyperbolic system with strong damping was studied and the local existence and uniqueness of weak solution was proved by using the successive approximation method and a series of classical estimates.
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Non-existence of global solutions for nonlinear strongly damped hyperbolic systems
Fuqin Sun,Mingxin Wang +1 more
TL;DR: In this paper, the authors focus on the Cauchy problems of nonlinear strongly======damped hyperbolic equations and systems and give some conditions on the non-existence of global solutions.
17
Turing pattern of the Oregonator model
TL;DR: In this article, the authors established some fundamental analytic properties of the Oregonator model and its corresponding steady state under various conditions on the parameters and the size of the reactor, and proved the existence and non-existence of non-constant steady states.
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Existence and non-existence of global solutions for a higher-order semilinear parabolic system
TL;DR: In this article, the authors studied the higher-order semilinear parabolic system and proved that if N/2m > max {1+p/pq-1' 1+q/pqs-1} then solutions with small initial data exist globally in time.
13
Global existence and non-existence for a higher-order parabolic equation with time-fractional term
Fuqin Sun,Peihu Shi +1 more
TL;DR: In this article, the Cauchy problem for the higher-order parabolic equation with a nonlocal in time nonlinearity was studied and it was proved that if p > max { 1 + 2 m ( 2 − γ ) ( N − 2 m + 2m γ +, 1 γ }, then the solution with small initial datum exists globally in time.
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