Results 181 to 190 of about 3,812 (235)

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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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.
J. Rottmann-Matthes
semanticscholar   +4 more sources

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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Guaranteed cost distributed fuzzy control design for a class of nonlinear first-order hyperbolic PDE systems

2012 American Control Conference (ACC), 2012
This paper is concerned with the guaranteed cost distributed fuzzy (GCDF) control design problem for a class of nonlinear distributed parameter systems described by first-order hyperbolic partial differential equations (PDEs). Using the Takagi-Sugeno (T-S) fuzzy PDE modeling method, a T-S fuzzy PDE model is initially proposed to accurately represent ...
Jun-Wei Wang 0001, Huai-Ning Wu
openaire   +2 more sources

Analyticity and Smoothness for a Class of First Order Nonlinear PDEs

2015
We study the microlocal analyticity and smoothness for the solutions of a class of first order complex nonlinear partial differential equations of the form \(u_t=f(x,t,u,u_x)\).
S. Berhanu
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New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs

Journal of Computational Physics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniele Venturi 0002   +1 more
openaire   +3 more sources

Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

Journal of Computational Mathematics, 2023
In [20], a semi-implicit spectral deferred correction (SDC) method was proposed, which is efficient for highly nonlinear partial differential equations (PDEs).
Ruihan Xu
semanticscholar   +1 more source

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