Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Chaotic Behaviour of the Solutions of the Moore-Gibson- Thompson Equation

We study a third-order partial differential equation in the form τuttt +αutt −cuxx −buxxt = 0, (1) that corresponds to the one-dimensional version of the Moore-Gibson-Thompson equation arising in high-intensity ultrasound and linear vibrations of elastic structures. In contrast with the current literature on the subject, we show that when the critical parameter γ := α − τc2 b is negative, the e...

متن کامل

Exponential decay for low and higher energies in the third order linear Moore-Gibson-Thompson equation with variable viscosity

We consider the Moore-Gibson-Thompson equation which arises, e.g., as a linearization of a model for wave propagation in viscous thermally relaxing fluids. This third order in time equation displays, even in the linear version, a variety of dynamical behaviors for their solutions that depend on the physical parameters in the equation. These range from non-existence [3] and instability to expone...

متن کامل

A new iterative with memory class for solving nonlinear ‎equations‎

In this work we develop a new optimal without memory class for approximating a simple root of a nonlinear equation. This class includes three parameters. Therefore, we try to derive some with memory methods so that the convergence order increases as high as possible. Some numerical examples are also ‎presented.‎‎

متن کامل

Weak solvability of a hyperbolic integro-differential equation with integral condition

The study of boundary value problems with non-local conditions has known a great development in the recent years. This is due to the importance of nonlocal conditions appearing in the mathematical modeling of various phenomena of physics, ecology, biology, etc. It is the case when the values of function on the boundary are related to values inside the domains or when the direct measurements on ...

متن کامل

Solvability of a Class of Integral Inclusions

and Applied Analysis 3 solutions for singular second-order m-point boundary value problem, in 11 Leggett and Williams discussed the nonlinear equation modelling certain infectious diseases. In 12 Zima discussed a three-point boundary value problem for second-order ordinary differential equations. In 13, 14 the authors proved multiplicity of positive radial solutions for an elliptic system on an...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Function Spaces

سال: 2021

ISSN: 2314-8888,2314-8896

DOI: 10.1155/2021/9932354