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Nonlinear hyperbolic differential equations in microelectronics
Korean Journal of Computational & Applied Mathematics, 1995Nonlinear 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, 2022Summary: 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, 2017Summary: 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
1995Universal 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 ScienceszbMATH 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, 2021Lesley A Inker +2 more
exaly
Nonlinear hyperbolic equations
Communications on Pure and Applied Mathematics, 1953openaire +2 more sources
The general relativistic constraint equations
Living Reviews in Relativity, 2021Alessandro Carlotto
exaly
Almost periodic solutions of nonlinear hyperbolic equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.openaire +2 more sources
NONLINEAR CAUCHY PROBLEM FOR HYPERBOLIC TYPE EQUATIONS
Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1972openaire +2 more sources

