optimal decay ratesemilinear wave equationslow solutiontime‐dependent frictional dissipationThe paper is concerned with the semilinear wave equations with timeヾependent damping γ (t )=α /(1+t ) (α >0), under the effect of nonlinear source f behaving like a polynomial, and subject to ...
λ = rate of decay constant t = time Taking the natural log of both sides of this equation (remember it is an exponential decay) will yield: Rate of Decay Formula Questions: 1. Calculate the rate of decay constant for U-238 if its half-life is 4.468 × 109years. Answer: If the pro...
We consider the damped wave equation with Dirichlet boundary conditions on the unit square parametrized by Cartesian coordinates x and y. We assume the damping a to be strictly positive and constant for x<σ and zero for x>σ. We prove the exact t−4/3-decay rate for the energy of cla...
Define Decay rate. Decay rate synonyms, Decay rate pronunciation, Decay rate translation, English dictionary definition of Decay rate. n. 1. Spontaneous disintegration of a radionuclide with the emission of energetic particles or radiation, such as alpha
In this paper, we consider the optimal time-convergence rates of the global solution to the Cauchy problem for the Boltzmann equation in ℝ3. We show that the global solution tends to the global Maxwellian at the optimal time-decay rate (1+t)−3/4, where the macroscopic density, momen...
In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some numerical illustrations are presented at the end. The numerical solution is...
Decay rates for the damped wave equation on the torus-:对于阻尼波方程在环面的衰变率—on,方程,帮助,the,decay,rates,for,wave,The,rate 文档格式: .pdf 文档大小: 690.85K 文档页数: 27页 顶/踩数: 0/0 收藏人数: 0 评论次数: 0 文档热度: ...
The exponential decay rate of $L^2-$norm related to the Korteweg-de Vries equation with localized damping posed on whole real line will be established. In addition, by using classical arguments we determine the $H^1-$norm of the solution associated to Korteweg-de Vries equation with damping...
10. According to the condition as mentioned above, a typical linear roll motion equation was set up, and the expressions of natural angular frequency and nondimension damping decay modulus of amphibious combat weapon were given. 两栖作战武器受到波浪的扰动发生横摇运动时在惯性项、阻尼项、恢复项力矩的...
Energy-decay estimates for the solution of biharmonic equation; 双调和方程解的能量衰减估计 更多例句>> 5) decay time 衰减时间 1. Cerium-doped orthoaluminate(YAP:Ce) is a kind of scintillator with high light yield and fast decay time,which makes it a good choice for applications in high-...