Decay rates for semilinear wave equations with vanishing damping and Neumann boundary conditions
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6733
Abstract: The paper is concerned with the semilinear wave equations with time‐dependent damping γ(t)=α/(1+t) (α>0), under the effect of nonlinear source f behaving like a polynomial, and subject to Neumann boundary conditions. Constructing appropriate auxiliary functions,… read more here.
Keywords: semilinear wave; rates semilinear; boundary conditions; neumann boundary ... See more keywords
Nonlocal-to-Local Convergence of Cahn–Hilliard Equations: Neumann Boundary Conditions and Viscosity Terms
Sign Up to like & getrecommendations! Published in 2021 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-020-01573-9
Abstract: We consider a class of nonlocal viscous Cahn–Hilliard equations with Neumann boundary conditions for the chemical potential. The double-well potential is allowed to be singular (e.g. of logarithmic type), while the singularity of the convolution kernel… read more here.
Keywords: boundary conditions; hilliard equations; neumann boundary; cahn hilliard ... See more keywords
The KPZ Limit of ASEP with Boundary
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DOI: 10.1007/s00220-018-3258-x
Abstract: It was recently proved in Corwin and Shen (CPAM, [CS16]) that under weakly asymmetric scaling, the height functions for ASEP with sources and sinks converges to the Hopf–Cole solution of the KPZ equation with inhomogeneous… read more here.
Keywords: asep boundary; neumann boundary; limit asep; kpz limit ... See more keywords
Exact Solution of a Neumann Boundary Value Problem for the Stationary Axisymmetric Einstein Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-018-9527-1
Abstract: For a stationary and axisymmetric spacetime, the vacuum Einstein field equations reduce to a single nonlinear PDE in two dimensions called the Ernst equation. By solving this equation with a Dirichlet boundary condition imposed along… read more here.
Keywords: disk; neumann boundary; value problem; stationary axisymmetric ... See more keywords
On the transition from parabolicity to hyperbolicity for a nonlinear equation under Neumann boundary conditions
Sign Up to like & getrecommendations! Published in 2018 at "Meccanica"
DOI: 10.1007/s11012-018-0906-3
Abstract: An integro differential equation which is able to describe the evolution of a large class of dissipative models, is considered. By means of an equivalence, the focus shifts to the perturbed sine-Gordon equation that in… read more here.
Keywords: transition parabolicity; hyperbolicity nonlinear; neumann boundary; parabolicity hyperbolicity ... See more keywords
A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition
Sign Up to like & getrecommendations! Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.04.009
Abstract: Abstract In this paper, we develop an effective numerical method for solving the fractional sub-diffusion equation with Neumann boundary conditions. The time fractional derivative is approximated by the L1 scheme on graded meshes, the spatial… read more here.
Keywords: neumann boundary; equation neumann; scheme; sub diffusion ... See more keywords
Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.01.015
Abstract: Abstract The paper is devoted to investigating long time behavior of smooth small data solutions to 3-D quasilinear wave equations outside of compact convex obstacles with Neumann boundary conditions. Concretely speaking, when the surface of… read more here.
Keywords: smooth solutions; solutions null; boundary conditions; neumann boundary ... See more keywords
On the Henon equation with a Neumann boundary condition: Asymptotic profile of ground states
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.03.015
Abstract: Abstract Consider the Henon equation with the homogeneous Neumann boundary condition − Δ u + u = | x | α u p , u > 0 in Ω , ∂ u ∂ ν =… read more here.
Keywords: ground; boundary condition; neumann boundary; henon equation ... See more keywords
Dynamics of a class of delayed reaction–diffusion systems with Neumann boundary condition
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.09.045
Abstract: Abstract This paper considers a class of delayed reaction–diffusion systems under the Neumann boundary condition which arise in epidemiology and can describe the temporal and spatial evolutionary phenomena for the bacteria population and the human… read more here.
Keywords: class delayed; systems neumann; neumann boundary; diffusion systems ... See more keywords
Singular diffusion with Neumann boundary conditions
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DOI: 10.1088/1361-6544/abde9d
Abstract: In this paper we develop an existence theory for the nonlinear initial-boundary value problem with singular diffusion ∂tu=divk(x)∇G(u) , u| t=0 = u 0 with Neumann boundary conditions k(x)∇G(u) ⋅ ν = 0. Here x∈B⊂Rd… read more here.
Keywords: singular diffusion; neumann boundary; diffusion neumann; boundary conditions ... See more keywords
Gradient estimates of mean curvature equation with Neumann boundary condition in domains of Riemannian manifold
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DOI: 10.1142/s0129167x17500653
Abstract: We study the prescribed mean curvature equation with Neumann boundary conditions in domains of Riemannian manifold. The main goal is to establish the gradient estimates for solutions by the maximum principle. As a consequence, we… read more here.
Keywords: domains riemannian; mean curvature; neumann boundary; equation neumann ... See more keywords