Uniform energy decay of a variable coefficient wave equation with nonlinear acoustic boundary conditions

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Uniform Decay Rates of Solutions to a Nonlinear Wave Equation with Boundary Condition of Memory Type

In this article we study the hyperbolic problem (1) where R is a bounded region in Rn whose boundary is partitioned into disjoint sets ro, rl. We prove that the dissipation given by the memory term is strong enough to assure exponential (or polynomial) decay provided the relaxation function also decays exponentially (or polynomially). In both cases the solution decays with the same rate of the ...

متن کامل

Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions

*Correspondence: [email protected] Department of Mathematics, Pusan National University, Busan, 609-735, South Korea Abstract In this paper, we are concerned with the energy decay rate of the nonlinear viscoelastic problem with dynamic and acoustic boundary conditions. MSC: 35L70; 35B40; 76Exx

متن کامل

Energy Decay Rate for the Kirchhoff Type Wave Equation with Acoustic Boundary

In this paper, we study uniform exponential stabilization of the vibrations of the Kirchhoff type wave equation with acoustic boundary in a bounded domain in Rn. To stabilize the system, we incorporate separately, the passive viscous damping in the model as like Gannesh C. Gorain [1]. Energy decay rate is obtained by the exponential stability of solutions by using multiplier technique.

متن کامل

A Cantilever Equation with Nonlinear Boundary Conditions

We prove new results on the existence of positive solutions for some cantilever equation subject to nonlocal and nonlinear boundary conditions. Our main ingredient is the classical fixed point index.

متن کامل

Decay Rate for a Viscoelastic Equation with Strong Damping and Acoustic Boundary Conditions

This paper is concerned with a nonlinear viscoelastic equation with strong damping: ( ) ( ) 0 , d 0, t t tt tt t u u u u g t s u x s s u ρ − ∆ − ∆ + − ∆ − ∆ = ∫ . The objective of the present paper is to provide some results on the long-time behavior to this equation with acoustic boundary conditions. By using the assumptions on the relaxation function due to Tatar [1], we show an arbitrary rat...

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 Mathematical Analysis and Applications

سال: 2013

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2012.09.056