Results 41 to 50 of about 158 (111)
Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
Boundary Value Problems, 2011 This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation.
Xu Si, Song Zifen
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Demonstratio MathematicaThe shrinking of support in non-linear parabolic pp-Laplacian equations with a positive initial condition u0{u}_{0} that decayed as ∣x∣→∞| x| \to \infty was explored in the Cauchy problem.
Jeli Roqia Abdullah
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Construction of type I blowup solutions for a higher order semilinear parabolic equation
Advances in Nonlinear Analysis, 2019 We consider the higher-order semilinear parabolic ...
Ghoul Tej-Eddine +2 more
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Positive solutions for diffusive Logistic equation with refuge
Advances in Nonlinear Analysis, 2019 In this paper, we study the stationary solutions of the Logistic ...
Sun Jian-Wen
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Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems
Advanced Nonlinear Studies, 2021 This paper analyzes the behavior of the positive solution θε{\theta_{\varepsilon}} of the perturbed ...
Li Wan-Tong +2 more
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Advances in Nonlinear AnalysisThis work is devoted to study the convection–reaction–diffusion behavior of contaminant in the recovered fracturing fluid which flows in the wellbore from shale gas reservoir. First, we apply various constitutive laws for generalized non-Newtonian fluids,
Cen Jinxia +3 more
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Boundedness of Stable Solutions to Semilinear Elliptic Equations: A Survey
Advanced Nonlinear Studies, 2017 This article is a survey on boundedness results for stable solutions to semilinear elliptic problems.For these solutions, we present the currently known L∞${L^{\infty}}$ estimates that hold for all nonlinearities.Such estimates are known to hold up to ...
Cabré Xavier
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Saturated Fronts in Crowds Dynamics
Advanced Nonlinear Studies, 2021 We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be ...
Campos Juan +2 more
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Advances in Nonlinear AnalysisIn this study, we investigate the two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity: ut=∇⋅(uθ−1∇u)−χ∇⋅uv∇v,x∈Ω,t>0,vt=Δv−v+u+g(x,t),x∈Ω,t>0,(∗)\left\{\begin{array}{ll}{u}_{t}=\nabla \cdot \left({u}^{\theta -1}\nabla u ...
Ren Guoqiang, Zhou Xing
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Front instability in a condensed phase combustion model
Advances in Nonlinear Analysis, 2015 We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis +2 more
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