Results 1 to 10 of about 8,092 (158)
Total energy decay for the wave equation in exterior domains with a dissipation near infinity
Journal of Mathematical Analysis and Applications, 2007 The paper refers to an initial boundary value problem for the wave equation with a nonlinear dissipation term. One investigates conditions under which the total energy \(E(t)\) tends to zero as \(t\) tends to infinity. This happens for instance when dissipation term satisfies a certain condition of ``half-linearity'' defined in the paper.
Kiyoshi Mochizuki, Mitsuhiro Nakao
exaly +3 more sources
Inventiones Mathematicae, 1989 The paper is concerned with the construction of certain Euclidean-like coordinate systems at infinity of complete Riemannian manifolds with curvature decay (for the Riemann and Ricci curvature tensors) and volume ascent of balls of prescribed order \(
Atsushi Kasue
exaly +2 more sources
Local energy decay for some hyperbolic equations with initial data decaying slowly near infinity
Hokkaido Mathematical Journal, 2007 A uniform local energy decay property is discussed to a linear hyperbolic equation with spatial variable coefficients. We shall deal with this equation in an exterior domain with a star-shaped complement. Our advantage is that we assume algebraic order weight restrictions as |x| → +∞ on the initial data in order to derive the uniform local energy decay,
Ryo Ikehata
exaly +3 more sources
De Sitter decays to infinity [PDF]
Journal of High Energy Physics, 2021 Abstract Bubbles of nothing are a class of vacuum decay processes present in some theories with compactified extra dimensions. We investigate the existence and properties of bubbles of nothing in models where the scalar pseudomoduli controlling the size of the extra dimensions are stabilized at positive vacuum energy, which is a ...
Patrick Draper +2 more
openaire +3 more sources
Comptes Rendus. Mathématique, 2021 We show that the elliptic problem $\Delta u+f(u)=0$ in $\mathbb{R}^N$, $N\ge 1$, with $f\in C^1(\mathbb{R})$ and $f(0)=0$ does not have nontrivial stable solutions that decay to zero at infinity, provided that $f$ is nonincreasing near the origin.
Sourdis, Christos
doaj +1 more source
New general decay rates of solutions for two viscoelastic wave equations with infinite memory
Mathematical Modelling and Analysis, 2020 We consider in this paper the problem of asymptotic behavior of solutions for two viscoelastic wave equations with infinite memory. We show that the stability of the system holds for a much larger class of kernels and get better decay rate than the ones ...
Aissa Guesmia
doaj +1 more source
Energy decay in a wave guide with dissipation at infinity [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2018 We prove local and global energy decay for the wave equation in a wave guide with damping at infinity. More precisely, the absorption index is assumed to converge slowly to a positive constant, and we obtain the diffusive phenomenon typical for the contribution of low frequencies when the damping is effective at infinity.
Malloug, Mohamed, Royer, Julien
openaire +3 more sources
Advances in Difference Equations, 2010 We consider the rate of convergence to equilibrium of Volterra integrodifferential equations with infinite memory. We show that if the kernel of Volterra operator is regularly varying at infinity, and the initial history is regularly varying at minus ...
John A. D. Appleby
doaj +2 more sources
On minimal decay at infinity of Hardy-weights [PDF]
Communications in Contemporary Mathematics, 2019 We study the behavior of Hardy-weights for a class of variational quasilinear elliptic operators of [Formula: see text]-Laplacian type. In particular, we obtain necessary sharp decay conditions at infinity on the Hardy-weights in terms of their integrability with respect to certain integral weights.
Kovarik H., Pinchover Y.
openaire +4 more sources
Setting Boundaries for Statistical Mechanics
Molecules, 2022 Statistical mechanics has grown without bounds in space. Statistical mechanics of noninteracting point particles in an unbounded perfect gas is widely used to describe liquids like concentrated salt solutions of life and electrochemical technology ...
Bob Eisenberg
doaj +1 more source