We have presented in this communication a new solving procedure for Kelvin–Kirchhoff equations, considering the dynamics of the falling or ascending the rigid disc in an ideal incompressible fluid, assuming additionally the dynamical symmetry of rotation for the falling or ascending body, I1 = I2...
kirchhoff's laws faraday's law laws of motion refraction of light maxwell's equation electrostatics bernoulli's principle projectile motion electric charge physics symbols more chemistry periodic table stereochemistry organic compounds inorganic chemistry quantum numbers atomic mass of elements periodic ...
Global existence, asymptotic behaviour, and global non-existence of solutions for damped non-linear wave equations of Kirchhoff type in the whole space We study the global existence, asymptotic behaviour, and global non-existence (blow-up) of solutions for the damped non-linear wave equation of ...
Here, we write down the Kirchhoff 's law for the heat cur- rents as Q wLire = 2GNb(T L − T x) Q wRire = 2GNb(T x − T R) Q leakage = GS(T x − T S) Q wLire = Q leakage + Q wRire. (8) Solving the system of linear equations, we ...
The results of calculations for the components of angular velocity { Ω i } should then be used for solving momentum equation of Kelvin–Kirchhoff system. Thus, the full system of equations of Kelvin–Kirchhoff problem has been explored with respect to the existence of an analytic way of ...
Kelvin-Voigt dampinggeneral nonlinearityIn this paper,we consider a class of Kirchhoff equation,in the presence of a Kelvin-Voigt type damping and a source term of general nonlinearity forms.Where the studied equation is given as followsutt-K(Nu(t))[Δ_(p(x))^(u)+Δ_(r(x))^(ut)]=...
The results for calculating the components of angular velocity [Formula: see text] should then be used for full solving the momentum equation of Kelvin–Kirchhoff system. The trajectories of motion can be divided into, preferably, three classes: zigzagging, helical spiral motion, and the chaotic ...
The aforesaid approach was formulated first in Ershkov (2017) for solving Poisson equations; furthermore, a new type of the solving procedure for Euler–Poissonequations (rigid body rotation over the fixed point) is implemented here for solving momentum equation of Kelvin–Kirchhoff. The system ...
Kelvin-Kirchhoff equationsPoisson equationsRiccati equationIn this paper, absolutely new analytical ansatz for solving Kelvin-Kirchhoff equations has been presented. The aforesaid approach was formulated first in Ershkov (2017) for solving Poisson equations; furthermore, a new type of the solving ...
(x)-Laplacian equation with delay term and variable exponentsBlow-up using the contradiction argumentDecay of solutions#Local existence and global nonexistence#Local existence result#Global nonexistence of solutions#Blow-up of a certain class of solutions#p(x)-Laplacian equation with delay term and ...