Results 41 to 50 of about 88,453 (147)
Some symmetry classifications of hyperbolic vector evolution equations
, 2005 Motivated by recent work on integrable flows of curves and 1+1 dimensional sigma models, several O(N)-invariant classes of hyperbolic equations $u_{tx} =f(u,u_t,u_x)$ for an $N$-component vector $u(t,x)$ are considered.
Habibullin I T +3 more
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Научный вестник МГТУ ГА, 2018 The applicability of the V. Lychagin "manual" integration method is analyzed with respect to systems of two quasilinear hyperbolic differential equations of the first order with two independent variables t, x and two unknown functions u = u (t, x) and v =
A. A. Gorinov
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Multidimensional Conservation Laws: Overview, Problems, and Perspective
, 2010 Some of recent important developments are overviewed, several longstanding open problems are discussed, and a perspective is presented for the mathematical theory of multidimensional conservation laws.
A. Blokhin +205 more
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Shear waves in a nonlinear elastic cylindrical shell [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаAsymptotic integration methods have been used to model the propagation of a shear wave beam along a nonlinear-elastic cylindrical shell of the Sanders – Koiter model. The shell is assumed to be made of a material characterized by a cubic dependence
Zemlyanukhin, Alexandr Isaevich +2 more
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Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation
, 2012 Within the class of nonlinear hyperbolic balance laws posed on a curved spacetime (endowed with a volume form), we identify a hyperbolic balance law that enjoys the same Lorentz invariance property as the one satisfied by the Euler equations of ...
LeFloch, Philippe G. +2 more
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Bounded solutions of nonlinear hyperbolic equations with time delay
Electronic Journal of Differential Equations, 2018 We consider the initial value problem $$\displaylines{ \frac{d^{2}u}{dt^{2}}+Au(t)=f(u(t),u(t-w)), \quad t>0, \cr u(t)=\varphi (t),\quad -w\leq t\leq 0 }$$ for a nonlinear hyperbolic equation with time delay in a Hilbert space with the self adjoint
Allaberen Ashyralyev, Deniz Agirseven
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Numerical simulation of multilane traffic flow model based on exponential velocity-density function
Partial Differential Equations in Applied MathematicsIn this paper, we study a multilane traffic flow model incorporating the exponential velocity-density relationship, which yields a nonlinear first-order system of hyperbolic partial differential (PDEs) equations formulated as an initial-boundary value ...
Md Rasel Ahmed +4 more
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Potential for ill-posedness in several 2nd-order formulations of the Einstein equations
, 2004 Second-order formulations of the 3+1 Einstein equations obtained by eliminating the extrinsic curvature in terms of the time derivative of the metric are examined with the aim of establishing whether they are well posed, in cases of somewhat wide ...
A. Anderson +8 more
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Nonparaxial elliptic waves and solitary waves in coupled nonlinear Helmholtz equations
, 2015 We obtain a class of elliptic wave solutions of coupled nonlinear Helmholtz (CNLH) equations describing nonparaxial ultra-broad beam propagation in nonlinear Kerr-like media, in terms of the Jacobi elliptic functions and also discuss their limiting forms
Kanna, T. +2 more
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Numerical solution to nonlinear Tricomi equation using WENO schemes
Electronic Journal of Differential Equations, 2010 Nonlinear Tricomi equation is a hybrid (hyperbolic-elliptic) second order partial differential equation, modelling the sonic boom focusing. In this paper, the Tricomi equation is transformed into a hyperbolic system of first order equations, in ...
Adrian Sescu +2 more
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