Hyperbolic Equations
Spatial decay estimates for a class of nonlinear damped hyperbolic equations
... Abstract. This paper is concerned with investigating the spatial decay estimates for a class of nonlinear damped hyperbolic equations. In addition, we compare the solutions of two-dimensional wave ...
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Existence of weak solutions for viscoelastic hyperbolic equations with variable exponents
... viscoelastic hyperbolic equations with variable exponents of ...viscoelastic hyperbolic equations, and in [] the authors discussed only the viscoelastic hyperbolic problem with ...
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Nonconforming H1 Galerkin Mixed Finite Element Method for Pseudo Hyperbolic Equations
... differential equations and parabolic partial integro-differential equations, ...pseudo- hyperbolic equations and fourth-order heavy damping wave ...
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A new variable mesh method based on non polynomial spline in compression approximations for 1D quasilinear hyperbolic equations
... Note that the proposed method (.) for second order quasilinear hyperbolic equations is a three-level scheme. The value of u at t = is known from the initial condition. To start any computation, it is ...
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Global nonexistence of solutions for systems of quasilinear hyperbolic equations with damping and source terms
... The initial boundary value problem for a class of quasilinear hyperbolic equations system in a bounded domain is studied. We prove that the solutions with positive initial energy blow up in finite time under ...
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Lower and upper bounds for lifespan of solutions to viscoelastic hyperbolic equations with variable sources and damping terms
... Lower and upper bounds for lifespan of solutions to viscoelastic hyperbolic equations with variable sources and damping terms Lili Dai1*.. and Zhuo Zhang2.[r] ...
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Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
... of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the ...
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Optimal control problems for hyperbolic equations with damping terms involving p Laplacian
... In this paper we study optimal control problems for the hyperbolic equations with a damping term involving p-Laplacian. We prove the existence of an optimal control and the Gâteaux differentiability of a ...
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Exponential Decay of Energy for Some Nonlinear Hyperbolic Equations with Strong Dissipation
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 357404, 12 pages doi 10 1155/2010/357404 Research Article Exponential Decay of Energy for Some Nonlinear Hyperbo[.] ...
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Duality in the optimal control of hyperbolic equations with positive controls
... 1. Introduction. Recently Lions, motivated by various practical problems, started a program of studying the optimal control distributed systems. The developments of distributed systems are the establishing of the ...
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On hyperbolic equations with double characteristics in the presence of transition
... of hyperbolic operators, a global existence and uniqueness theorem is obtained in [, ] and energy estimates for solu- tions are established in ...of hyperbolic second order operators with double ...
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On the exponential growth of solutions to non linear hyperbolic equations
... These equations appear in a mathematical model for the dynamics of gas absorption [i], and the main interest is to find solutions of exponential growth to a non-linear hyperbolic equatio[r] ...
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On An Optimization Problem with Hyperbolic Partial Differential Equations
... Optimal control problems for hyperbolic equations have been investigated by Lions in his famous book [1]. Lions examined the problems in detail when the control function is at the right hand side and in the ...
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On the solvability of parabolic and hyperbolic problems with a boundary integral condition
... We prove the existence, uniqueness, and the continuous dependence of a generalized so- lution upon the data of certain parabolic and hyperbolic equations with a boundary inte- gral condition. The proof uses ...
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Adomian Decomposition Method for Solving Goursat's Problems
... decomposition method (ADM) to obtain the exact solu- tions to this type of problems. In a manner parallel to this problem, we study a class of Goursat’s problems for non- linear hyperbolic equations, ...
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Development and Implementation of Reconstructed Discontinuous Galerkin Methods for Computational Fluid Dynamics on GPUs.
... the hyperbolic equations, such as the compressible Euler ...parabolic equations such as the compressible Navier- Stokes equations, where diffusive fluxes exist and which require the evaluation ...
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Analysis and Computation for a Fluid Mixture Model of Tissue Deformations
... advection-like hyperbolic equation for the volume fraction of cell and fiber phase and elliptic equations for the velocities and ...the hyperbolic equations and elliptic equation, ...elliptic ...
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Applications of one and two dimensional Volterra inequalities in differential equations of the hyperbolic type
... 1. Introduction. In this paper, the inequalities of the Volterra type are used to study the behaviour properties of the solutions to boundary value prob- lems for various types of hyperbolic equations. ...
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Carathéodory solutions to a hyperbolic differential inequality with a non-positive coefficient and delayed arguments
... ential equations. For example, theorems on hyperbolic differential inequalities dealing with classical as well as Carathéodory solutions are studied in ...for hyperbolic equations sub- jected ...
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3D Goursat Problem in the Non-Classical Treatment for Manjeron Generalized Equation with Non-Smooth Coefficients
... Hyperbolic equations are attracted for sufficiently adequate description of a great deal of real processes occurring in the nature, engineering and ...
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