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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
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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
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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 fundamentalExpand
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The Key Transcription Factor Expression in the Developing Vestibular and Auditory Sensory Organs: A Comprehensive Comparison of Spatial and Temporal Patterns
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
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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 localExpand
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LIFE SPAN OF BLOW-UP SOLUTIONS FOR HIGHER-ORDER SEMILINEAR PARABOLIC EQUATIONS
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-upExpand
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Existence and non-existence of global solutions for a higher-order semilinear parabolic system
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 0Expand
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Ultrastretchable Fiber Sensor with High Sensitivity in Whole Workable Range for Wearable Electronics and Implantable Medicine
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 humanExpand
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Bioinspired Flexible Volatile Organic Compounds Sensor Based on Dynamic Surface Wrinkling with Dual-Signal Response.
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 responseExpand
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