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hyperbolic system

On the Solution of a Optimal Control Problem for a Hyperbolic System

On the Solution of a Optimal Control Problem for a Hyperbolic System

... The problem of determining the control function that is at the right hand side of the hyperbolic system has been studied by different authors. Lions [3] examined the problems in detail when the control ...

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THE HYPERBOLIC SYSTEM OF EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

THE HYPERBOLIC SYSTEM OF EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

... the hyperbolic system of equations with nonlo- cal boundary conditions is ...the hyperbolic system of equations with nonlocal boundary conditions are ...

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Finite difference method for the hyperbolic system of equations with nonlocal boundary conditions

Finite difference method for the hyperbolic system of equations with nonlocal boundary conditions

... a hyperbolic system of equations with nonlocal boundary conditions is ...a hyperbolic system of equations with nonlocal boundary conditions are ...

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Existence of Solutions for Hyperbolic System of Second Order Outside a Domain

Existence of Solutions for Hyperbolic System of Second Order Outside a Domain

... We study the mixed initial-boundary value problem for hyperbolic system of second order outside a closed domain. The existence of solutions to this problem is proved and the estimate for the regularity of ...

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Observability and uniqueness theorem for a coupled  hyperbolic system

Observability and uniqueness theorem for a coupled hyperbolic system

... Abstract. We deal with the inverse inequality for a coupled hyperbolic system with dis- sipation. The inverse inequality is an indispensable inequality that appears in the Hilbert Uniqueness Method(HUM), to ...

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A characteristic initial value problem for a strictly hyperbolic system

A characteristic initial value problem for a strictly hyperbolic system

... the system Au tt + Cu xx = f (x, t), (x, t) ∈ T for u(x, t) in R 2 , where A and C are real constant 2 × 2 matrices, and f is a continuous function in R 2 ...the system is strictly hyperbolic in the ...

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On the existence of a solution  for some distributed optimal control hyperbolic system

On the existence of a solution for some distributed optimal control hyperbolic system

... One of the fundamental problems of optimization theory is the question of the ex- istence of optimal processes for the system of (1.1) and (1.2). This problem was the topic of investigations in many papers and ...

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Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain

Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain

... In this paper we study the existence of weak solutions of problem 1.1-1.3 and the decay of weak solutions for the system 1.1 perturbed by the dissipative term u Under the hypothesis that[r] ...

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Development of singularities in solutions of a hyperbolic system

Development of singularities in solutions of a hyperbolic system

... the initial data are. This was shown by Lax [4] in 1964. In his work, the author studied (1.1), for ϕ > 0 and ϕ > 0, and established a blowup result. MacCamy and Mizel [7] in 1967 considered the same system ...

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Undercompressive shocks for a system of hyperbolic conservation laws with cubic nonlinearity

Undercompressive shocks for a system of hyperbolic conservation laws with cubic nonlinearity

... strictly hyperbolic system of one dimensional nonlinear elasticity in the special case that the stress{strain relation is given by a monotonic cubic ...

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The Difference Splitting Scheme for Hyperbolic Systems with Variable Coefficients

The Difference Splitting Scheme for Hyperbolic Systems with Variable Coefficients

... We consider the mixed dissipative boundary value problem for a two-dimensional linear hyperbolic system with variable co- efficients and lower order term [1]. For this problem, we con- struct and ...

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Vol 8, No 6 (2017)

Vol 8, No 6 (2017)

... linear hyperbolic system of nonlinear partial differential equations ...the system of partial differential equations (PDEs) to a system of ordinary differential equations ...

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Comparative Study on the Open Boundary Conditions of Shallow Flows

Comparative Study on the Open Boundary Conditions of Shallow Flows

... the hyperbolic system such as shallow water equations (SWEs), open boundary conditions (OBCs) must be designed so that such an event should also be maintained even at the ...the hyperbolic ...

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Global solutions for a new geometric flow with rotational invariance

Global solutions for a new geometric flow with rotational invariance

... exceptions, hyperbolic equations have not yet found their way into the study of geometric or topological ...the hyperbolic geometric flow which is a fresh start of an attempt to introduce hyperbolic ...

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Underwater Acoustic Localisation in the context of Autonomous Submersibles

Underwater Acoustic Localisation in the context of Autonomous Submersibles

... localisation system which could cope with the dynamic and fast changing vehicle configurations while being small, reliable, robust, and energy efficient and not dependent on pre-deployed acoustic ...

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Investigation of Fluid-structure Interaction by Explicit Central Finite Difference Methods

Investigation of Fluid-structure Interaction by Explicit Central Finite Difference Methods

... Tadmor; it is widely known as the NT scheme [11]. Arminjon and St-Cyr [12] modified version of the NT 1-dimensional. The modification avoids the intermediate predictor time step. Although this does not really bring about ...

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Hyperbolic Secant Pulse Propagation in a Single Mode Optical Fiber System

Hyperbolic Secant Pulse Propagation in a Single Mode Optical Fiber System

... where is the pulse full-width at half-maximum (FWHM) The inputs are represented by a Hyperbolic-Secant pulse Equation (6) and a simple Gaussian pulse Equation (7) and are defined as [6] ...

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M53 Lec5.4 Integrals of Hyperbolic Functions Inverse Hyperbolic Functions.pdf

M53 Lec5.4 Integrals of Hyperbolic Functions Inverse Hyperbolic Functions.pdf

... Institute of Mathematics (UP Diliman) Integrals of Hyp Fcns, Inverse Hyp Fcns Mathematics 53 1 / 37... For today.[r] ...

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ANTISTATIC PACKAGING OF PLASTICIZED BIODEGRADABLE POLYLACTIC ACID / GRAPHENE NANCOMPOSITES

ANTISTATIC PACKAGING OF PLASTICIZED BIODEGRADABLE POLYLACTIC ACID / GRAPHENE NANCOMPOSITES

... Results hyperbolic electrical physical phenomenon with hyperbolic Graphene and makes the composite less resistive and appropriate to be used as antistatic packaging , increase the strength and tensile ...

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Badly approximable vectors and fractals defined by conformal dynamical systems

Badly approximable vectors and fractals defined by conformal dynamical systems

... Theorems 1.3-1.5 are reasonably optimal if one’s goal is to show that the limit set J of a given conformal dynamical system supports an absolutely friendly and Ahlfors regular measure. (This is not quite true; see ...

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