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Nonlinear hyperbolic differential equations in microelectronics

Korean Journal of Computational & Applied Mathematics, 1995
Nonlinear hyperbolic differential equations have been a subject of intense research in the field of gas dynamics due to many engineering problems associated with high-speed airplanes, missiles, materials processing, etc. Recently, phenomena known from gas dynamics are found to occur also in the microeletronic devices such as MOSFET.
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A damped nonlinear hyperbolic equation with nonlinear strain term

Journal of Applied Nonlinear Dynamics, 2022
Summary: In this work, we investigate an initial boundary value problem related to the nonlinear hyperbolic equation \(u_{tt}+u_{xxxx}+ \alpha u_{xxxxt}=f(u_x)_x\), for \(f(s)=|s|^{\rho} +|s|^{\sigma}\), \(1< \rho,\sigma\), \(\alpha >0\). Under suitable conditions, we prove the existence of global solutions and the exponential decay of energy.
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Solvability of Nonlinear Inverse Problem for Hyperbolic Equation

Journal of Mathematical Sciences, 2017
Summary: We consider the nonlinear inverse problem for a second order hyperbolic equation with unknown coefficient depending on the time. We establish the existence and uniqueness of regular solutions which are used for constructing a solution to the inverse problem under consideration.
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Asymptotic Equations for Nonlinear Hyperbolic Waves

1995
Universal asymptotic equations. It is a remarkable fact that, in suitable asymptotic limits, the behavior of almost all nonlinear waves is described by a few rather simple looking nonlinear equations. Examples include Burgers equation, the Kortewegde Vries (KdV) equation, and the nonlinear Schrodinger equation.
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Nonlinear Inverse Problems for First Order Hyperbolic Equations

Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kozhanov, Alexandr   +1 more
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker   +2 more
exaly  

Nonlinear hyperbolic equations

Communications on Pure and Applied Mathematics, 1953
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The general relativistic constraint equations

Living Reviews in Relativity, 2021
Alessandro Carlotto
exaly  

Almost periodic solutions of nonlinear hyperbolic equations

zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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NONLINEAR CAUCHY PROBLEM FOR HYPERBOLIC TYPE EQUATIONS

Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1972
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