The initial boundary value problem for quasi-linear wave equation with viscous damping
نویسندگان
چکیده
منابع مشابه
Initial Value Problem for the Wave Equation
Nonhomeomorphic compact Hausdorff spaces X and Y and an isomorphism : C(X) -> C(Y) (onto) are constructed such that ||c/>|| \4>~ || = 2. Amir had asked if such a d> exists with || \\ ||cf> || < 3.
متن کاملInitial Boundary Value Problem For Compressible Euler Equations With Damping
We construct global L∞ entropy weak solutions to the initial boundary value problem for the damped compressible Euler equations on bounded domain with physical boundaries. Time asymptotically, the density is conjectured to satisfy the porous medium equation and the momentum obeys to the classical Darcy’s law. Based on entropy principle, we showed that the physical weak solutions converges to st...
متن کاملWeak Solutions to the Initial Boundary Value Problem for a Semilinear Wave Equation with Damping and Source Terms
We show local existence of solutions to the initial boundary value problem corresponding to a semilinear wave equation with interior damping and source terms. The difficulty in dealing with these two competitive forces comes from the fact that the source term is not a locally Lipschitz function from H1(Ω) into L2(Ω) as typically assumed in the literature. The strategy behind the proof is based ...
متن کاملWeak Solutions to the Initial Boundary Value Problem of a Semilinear Wave Equation with Damping and Source Terms
In this paper we show local existence of solutions to the initial boundary value problem corresponding to a semilinear wave equation with interior damping and source terms. The difficulty in dealing with these two competitive forces comes from the fact that the source term is not a locally Lipschitz function from H1(Ω) into L2(Ω) as typically assumed in the literature. The strategy behind the p...
متن کاملNumerical solution of an initial-boundary value problem with nonlocal condition for the wave equation
This paper investigates an initial-boundary value problem with nonlocal condition for the wave equation. The numerical solution is developed by using Homotopy perturbation method. This method is based on the use of traditional perturbation method and homotopy technique. Using this method, a rapid convergent series solution can be obtained in most cases. Furthermore, this method does not require...
متن کاملذخیره 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: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.08.085