Turing bifurcations with a temporally varying diffusion coefficient - Sherratt - 1995 () Citation Context ...[0,1]. (27) Here σ′ = |X′0| = 1 and X′′0 = 0. Thus there are no transport terms due to curvature or other geometrical properties. Therefore, Eq. (22) takes the form...
A 4th order PDE with L2 –curvature gradient is applied on each sub-band before applying adaptive thresholding to approximate each sub-band and obtain the denoised image by applying inverse wavelet transform. Anisotropic: The wavelet-based multiscale anisotropic diffusion method (WMSAD) presented in...
whereE1, σ1,r1andE2, σ2,r2areYoung's modulus,Poisson's ratio, and radius of curvature of the tip of the asperity for the two solids, respectively. The mean pressure of the contact surface is given by p=32π(3WE′22R2)1/3 ...
Assuming that the radius of curvature becomes \(R_{res}\) and that the surface has a residual collision depth,\(\omega_{res}\), the maximum contact force \(\left( {P_{ep} } \right)_{m}\) during the recovery process can be expressed as $$\left( {P_{ep} } \right)_{m} =...
Collisions between objects are a relatively common phenomenon in nature. Analyses of collision processes can greatly contribute to solving problems such as impact-rub faults and particle impacts. The coefficient of restitution is a critical parameter in
The radius of curvature of the substrate was measured by detecting the reflected laser beam. The residual stress in the film was then obtained by measuring the change in the curvature radius of the substrate before and after forming the film on it, and by using the coefficient of linear ...
In order to reduce the effect of this kind of flow distribution on the incidence angles along the span of impeller inlet, lower curvature of shroud in the extended inlet region, which can cause higher flow area and reduce hub-to-shroud velocity gradient, should be applied for performance ...
The r.m.s. roughness should not exceed about 2 nm and the radius of curvature of the surface should be less than 50 m. Such stringent requirements on smoothness can typically be met by float glass or silicon wafers. However, the requirement on flatness can cause considerable difficulty when...
is used in mean curvature motion formulations of diffusion [14], shock filters [15], and locally monotonic (LOMO) diffusion [16]. One may notice that this diffusion coefficient is parameter-free. Designing a diffusion coefficient with robust statistics, Black et al. [17] model anisotropic diffu...
Determine the minimum coefficient of static friction between the tires and the road for a 1,534 kg car if the car makes a turn at 117 kilometer per hour with a radius of curvature of 125 m. Is friction an applied ...