Infinite-modal approximate solutions of the Bryan-Pidduck equation
Journal Title: Математичні Студії - Year 2018, Vol 49, Issue 1
Abstract
Abstract The nonlinear integro-differential Bryan-Pidduck equation for a model of rough spheres is considered. An approximate solution is constructed in the form of an infinite linear combination of some Maxwellian modes with coefficient functions that depend on time and spatial coordinate. Sufficient conditions for the infinitesimality of the uniformly-integral error between the parts of the Bryan-Pidduck equation are obtained.
Authors and Affiliations
O. O. Hukalov, V. D. Gordevskyy
Keywords
Related Articles
- EP ID EP355325
- DOI 10.15330/ms.49.1.95-108
- Views 74
- Downloads 0
About some problem for entire functions of unbounded index in any direction
In this paper, we select a class of entire functions F(z1,…,zn) such that for any direction (b1,…,bn)∈Cn∖{0} and for every point (z01,…,z0n)∈C the function F(z01+tb1,…,z0n+tbn) is of bounded index as a function in variab...
Uniqueness of solution for the inverse problem of finding two minor coefficients in a semilinear time fractional telegraph equation
We find sufficient conditions of the uniqueness of a solution for the inverse problem of determining two continuous minor coefficients in a semilinear time fractional telegraph equation under two integral overdeterminati...
Visco-plastic, newtonian, and dilatant fluids: Stokes equations with variable exponent of nonlinearity
Some nonlinear Stokes equations with variable exponent of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence of the weak and very weak solutions for...
An iterative method for solving nonlinear least squares problems with nondifferentiable operator
An iterative differential-difference method for solving nonlinear least squares problems is proposed and studied. The method uses the sum of the derivative of the differentiable part of the operator and the divided diffe...
Fourier problems for parabolic equations with variable exponents of nonlinearity and time delay
The Fourier problem for nonlinear parabolic equations with variable exponents of nonlinearity and time delay is considered. The existence and uniqueness of weak solutions of the problem are investigated. Also, its a prio...