Do you want to publish a course? Click here

Existence And Uniqueness Of Strong Solution For A Semi- Linear Wave Equation With Nonlinear Boundary Dissipation

وجود و وحدانية حل قوي للمعادلة الموجية شبه الخطية مع شرط التبدد الحدي اللاخطي

1506   1   70   0 ( 0 )
 Publication date 2016
and research's language is العربية
 Created by Shamra Editor




Ask ChatGPT about the research

We aim in this research to study the existence and uniqueness of strong solution for initial-boundary values problem for a semi-linear wave equation with the nonlinear boundary dissipation, by transforming it to a Cauchy problem with second order operator differential equations in Hilbert space. Therefore, we transform it, using Green's formula for a triple of Hilbert spaces.



References used
CHUESHOV,I.D, ELLER,M, and LASIECKA,I. ''Finite dimensionality of the attractor for a semi-linear wave equation with non linear boundary dissipation ''. Partial differential equations ,29,No,11-12,1847-1867, 2004
KOPACHEVSKY,N.D, KREIN,S.G, and Nogo Zui Kan. ''Operato methods in linear Hydrodynamics: Evolution and Spectral problems''. Moscow,1989
KOPACHEVSKY,N.D.An abstract Green formula for a triple of Hilbert spaces and its applications to the Stokes problem ,Tavrich. Vestn. Mat. Inf., No. 2, 52–80,2004
rate research

Read More

Most of mathematical physics problems can be translated into solve one partial differential equation or more with specific initial conditions and boundary conditions. This is called the boundary value problem for the differential equations. This paper studies the solution of systems of hyperbolic and parabolic partial differential equations assuming some boundary conditions in different domains in the plane xoy. In this paper we have proved theorem about the existence and uniqueness of the solutions. This article is considered to be a continuation to the works of Alimove, Ssallah Aldinov, Gooraev and Alhamad.......
In this paper, we present approximate solutions for the Advection equation by finite differences method. In this method we convert the nonlinear partial differential equation into a system of nonlinear equations by some finite differences methods. Then this system was solved by Newton's method. And we made a program implementing this algorithm and we checked the program using some examples, which have exact solutions, then we evaluate our results. As a conclusion we found that this method gives accurate results for Advection equation.
In this paper, spline collocation method is considered for solving two forms of problems. The first form is general linear sixth-order boundary-value problem (BVP), and the second form is nonlinear sixth-order initial value problem (IVP). The existen ce, uniqueness, error estimation and convergence analysis of purpose methods are investigated. The study shows that proposed spline method with three collocation points can find the spline solutions and their derivatives up to sixth-order of the two BVP and IVP, thus is very effective tools in numerically solving such problems. Several examples are given to verify the reliability and efficiency of the proposed method. Comparisons are made to reconfirm the efficiency and accuracy of the suggested techniques.
In this research was proofed that the first liner essential problem of electro Elasticity theory has unique solution . This problem aim to find the vector which belong to the class and realize the folowing system of equations : For som bondary conditions , In improving that the Dairkhli integral was used .
comments
Fetching comments Fetching comments
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا