New blow‐up conditions to p‐Laplace type nonlinear parabolic equations under nonlinear boundary conditions
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DOI: 10.1002/mma.7172
Abstract: In this paper, we study blow‐up phenomena of the following p‐Laplace type nonlinear parabolic equations ut=∇·ρ(|∇u|p)|∇u|p−2∇u+f(x,t,u),inΩ×(0,t∗), under nonlinear mixed boundary conditions ρ(|∇u|p)|∇u|p−2∂u∂n+θ(z)ρ(|u|p)|u|p−2u=h(z,t,u),onΓ1×(0,t∗), and u=0 on Γ2 × (0, t∗) such that Γ1∪Γ2=∂Ω , where f and h are… read more here.
Keywords: parabolic equations; boundary conditions; type nonlinear; laplace type ... See more keywords
Unleashing Empirical Equations with “Nonlinear Fitting” and “GUM Tree Calculator”
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DOI: 10.1007/s10765-017-2282-y
Abstract: Empirical equations having large numbers of fitted parameters, such as the international standard reference equations published by the International Association for the Properties of Water and Steam (IAPWS), which form the basis of the “Thermodynamic… read more here.
Keywords: empirical equations; equations nonlinear; nonlinear fitting; gum tree ... See more keywords
Solitary wave and periodic wave solutions for the non-Newtonian filtration equations with nonlinear sources and a time-varying delay
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DOI: 10.1016/s0252-9602(17)30108-x
Abstract: Abstract This paper is concerned with the non-Newtonian filtration equations with nonlinear sources and a time-varying delay. By an extension of Mawhin's continuation theorem and some analysis methods, several sufficient conditions ensuring the existence of… read more here.
Keywords: sources time; newtonian filtration; equations nonlinear; nonlinear sources ... See more keywords
Blow-up phenomena for a class of nonlinear reaction-diffusion equations under nonlinear boundary conditions
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DOI: 10.1080/00036811.2018.1478079
Abstract: ABSTRACT The paper considers the blow-up solution for the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: where p>2 and is a bounded convex domain with smooth boundary . By means of constructing auxiliary functions… read more here.
Keywords: boundary conditions; equations nonlinear; diffusion equations; reaction diffusion ... See more keywords
Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping
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DOI: 10.1155/2017/2708483
Abstract: We investigate the 3D quasilinear hyperbolic equations with nonlinear damping which describes the propagation of heat wave for rigid solids at very low temperature, below about 20 K. The global existence and uniqueness of strong solutions… read more here.
Keywords: decay quasilinear; hyperbolic equations; equations nonlinear; nonlinear damping ... See more keywords
On the oscillation of certain third order nonlinear dynamic equations with a nonlinear damping term
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DOI: 10.1515/ms-2016-0284
Abstract: Abstract New oscillation criteria for certain third order nonlinear dynamic equations with a nonlinear damping term are established. Examples to illustrate the results are included. read more here.
Keywords: certain third; nonlinear dynamic; equations nonlinear; third order ... See more keywords
Homogenized Balance Equations for Nonlinear Poroelastic Composites
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DOI: 10.3390/app11146611
Abstract: Within this work, we upscale the equations that describe the pore-scale behaviour of nonlinear porous elastic composites, using the asymptotic homogenization technique in order to derive the macroscale effective governing equations. A porous hyperelastic composite… read more here.
Keywords: homogenized balance; poroelastic composites; equations nonlinear; balance equations ... See more keywords