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Existence and nonexistence of global solutions for a nonlinear hyperbolic system with damping
Abstract This paper concerns with the Cauchy problem for the damped nonlinear hyperbolic system { u t t − △ u + u t = | v | p , ( t , x ) ∈ R + 1 × R N , v t t − △ v + v t = | u | q , ( t , x ) ∈ R +… Expand
Global existence and non-existence for a higher-order parabolic equation with time-fractional term
Abstract This article is concerned with the Cauchy problem for the higher-order parabolic equation with a nonlocal in time nonlinearity: { u t + ( − △ ) m u = 1 Γ ( 1 − γ ) ∫ 0 t ( t − s ) − γ ∣ u ∣… Expand
Turing pattern of the Oregonator model
Abstract The Oregonator model is the mathematical dynamics which describes the Field–Koros–Noyes mechanics of the famous Belousov–Zhabotinskii˘ reaction. In this work, we establish some fundamental… Expand
The Key Transcription Factor Expression in the Developing Vestibular and Auditory Sensory Organs: A Comprehensive Comparison of Spatial and Temporal Patterns
- Shaofeng Liu, Y. Wang, +8 authors W. Li
- Medicine, Biology
- Neural plasticity
- 15 October 2018
Inner ear formation requires that a series of cell fate decisions and morphogenetic events occur in a precise temporal and spatial pattern. Previous studies have shown that transcription factors,… Expand
Global and blow-up solutions for a system of nonlinear hyperbolic equations with dissipative terms☆
Abstract In this paper, we study a nonlinear hyperbolic system with strong damping. Firstly, by use of the successive approximation method and a series of classical estimates, we prove the local… Expand
LIFE SPAN OF BLOW-UP SOLUTIONS FOR HIGHER-ORDER SEMILINEAR PARABOLIC EQUATIONS
- Fuqin Sun
- Mathematics
- 2010
In this article, we study the higher-order semilinear parabolic equation ut + ( ) m u = |u| p , (t,x) 2 R 1 ◊ R N , u(0,x) = u0(x), x 2 R N. Using the test function method, we derive the blow-up… Expand
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Existence and non-existence of global solutions for a higher-order semilinear parabolic system
- Peter Y. H. Pang, Fuqin Sun, M. Wang
- Mathematics
- 2006
In this paper, we study the higher-order semilinear parabolic system u t + (-Δ) m u = |v| p , (t, x) ∈ R 1 + × R N , v t + (-Δ) m v = |u| q , (t, x) ∈ R 1 + × R N , u(0, x) = u 0 (x), v(0, x) = v 0… Expand
Ultrastretchable Fiber Sensor with High Sensitivity in Whole Workable Range for Wearable Electronics and Implantable Medicine
- L. Li, Hongyi Xiang, +10 authors T. Zhang
- Materials Science, Medicine
- Advanced science
- 23 July 2018
Abstract Fast progress in material science has led to the development of flexible and stretchable wearable sensing electronics. However, mechanical mismatches between the devices and soft human… Expand
Bioinspired Flexible Volatile Organic Compounds Sensor Based on Dynamic Surface Wrinkling with Dual-Signal Response.
- C. Qu, Shu-qi Wang, +9 authors T. Zhang
- Materials Science, Medicine
- Small
- 1 April 2019
Living systems can respond to external stimuli by dynamic interface changes. Moreover, natural wrinkle structures allow the surface to switch dynamically and reversibly from flat to rough in response… Expand