To Asymptotic of the Solution of the Heat Conduction Problem with Double Nonlinearity, Variable Density, Absorption at a Critical Parameter | Zendy

Мерсаид Арипов | Zendy; A. Mukimov | Zendy

Open Access

To Asymptotic of the Solution of the Heat Conduction Problem with Double Nonlinearity, Variable Density, Absorption at a Critical Parameter

Author(s) -

Мерсаид Арипов,

A. Mukimov

Publication year - 2019

Publication title -

international journal of innovative technology and exploring engineering

Language(s) - English

Resource type - Journals

ISSN - 2278-3075

DOI - 10.35940/ijitee.a4455.119119

Subject(s) - work (physics) , mathematics , nonlinear system , heat equation , mathematical analysis , thermal conduction , critical exponent , exponent , asymptotic expansion , absorption (acoustics) , constant (computer programming) , thermodynamics , physics , phase transition , optics , quantum mechanics , linguistics , philosophy , computer science , programming language

In this work we have established asymptotic behavior (for t ) of solutions of the Cauchy problem for a nonlinear heat equation with variable density describing the diffusion of heat with nonlinear heat absorption at the critical exponent of the parameter . For numerical computations as an initial approximation we used founded the long time asymptotic of the solution. Numerical experiments and visualization were carried for one and two dimensional case.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research