Results 181 to 190 of about 52,350 (200)

Fold-over Regions in Nonlinear First Order PDEs

The College Mathematics Journal, 2020
Who has not marveled at the sight of a wave approaching a shore and becoming steeper on the leeward side until it breaks into a surge of foam?
Milton F. Maritz, Marèt Cloete
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Monotone iterative finite volume algorithms for coupled systems of first‐order nonlinear PDEs

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023
AbstractThis paper studies coupled systems of first‐order nonlinear partial differential equations, where the first equation is an advection equation with a source term. The system is known to model physical phenomena such as general blood–tissue exchange (BTEX) and the gas–solid interphase heat transfer for the fast igniting catalytic converter.
Rupsha Roy   +2 more
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New symmetry solution techniques for first-order non-linear PDEs

Applied Mathematics and Computation, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barco, M. A., Prince, G. E.
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First-Order Nonlinear PDEs and Conservation Laws

2013
Linear partial differential equations discussed in Part III often offer only a very simplified description of physical phenomena. To get a deeper understanding of some of them, it is necessary to move beyond the linear “universe” and consider nonlinear models, which in the case of continuous media, means nonlinear partial differential equations.
Alexander I. Saichev   +1 more
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On microlocal analyticity and smoothness of solutions of first-order nonlinear PDEs

Mathematische Annalen, 2011
In this paper, the authors study the microlocal analyticity and smoothness of solutions of a nonlinear PDE of the kind \(u_t=f(x,t,u,u_x),\) where \(f=f(x,t,\zeta_0,\zeta)\) is the restriction of a holomorphic function. Their result extends a result of \textit{N. Lerner} et al. [Am. J. Math. 132, No.
Adwan, Z., Berhanu, S.
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Generalized Solutions of First-Order Nonlinear PDEs

2013
Most of the equations of mathematical physics, and in particular nonlinear first-order partial differential equations, are a result of idealizing and simplifying assumptions. This approach promotes the effectiveness and elegance of mathematical models that adequately reflect some important qualitative features of the physical phenomena under ...
Alexander I. Saichev   +1 more
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Stability and Freezing of Nonlinear Waves in First Order Hyperbolic PDEs

Journal of Dynamics and Differential Equations, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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