Results 21 to 30 of about 537,575 (240)

Multi-Parameter Reaction–Diffusion Systems with Quadratic Nonlinearity and Delays: New Exact Solutions in Elementary Functions

open access: yesMathematics, 2022
The study considers a nonlinear multi-parameter reaction–diffusion system of two Lotka–Volterra-type equations with several delays. It treats both cases of different diffusion coefficients and identical diffusion coefficients.
Andrei D. Polyanin, Alexei I. Zhurov
doaj   +1 more source

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]

open access: yes, 2006
We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre   +5 more
core   +1 more source

Numerical solution of compressible Euler and Magnetohydrodynamic flow past an infinite cone

open access: yesApplications in Engineering Science, 2021
A numerical scheme is developed for systems of conservation laws on manifolds which arise in high speed aerodynamics and magneto-aerodynamics. The systems are presented in an arbitrary coordinate system on the manifold and involve source terms which ...
Ian Holloway, Sivaguru S. Sritharan
doaj   +1 more source

Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls [PDF]

open access: yesJournal des Mathématiques Pures et Appliquées, 2019
In this article we study the minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems when all the controls are acting on the same side of the boundary.
Long Hu, Guillaume Olive
semanticscholar   +1 more source

On a two-dimensional model of generalized thermoelasticity with application

open access: yesScientific Reports, 2022
A 2D first order linear system of partial differential equations of plane strain thermoelasticity within the frame of extended thermodynamics is presented and analyzed.
Ethar A. A. Ahmed   +3 more
doaj   +1 more source

Fredholm property of nonlocal problems for integro-differential hyperbolic systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
The paper concerns nonlocal time-periodic boundary value problems for first-order integro-differential hyperbolic systems with boundary inputs. The systems are subjected to integral boundary conditions.
Irina Kmit, Roman Klyuchnyk
doaj   +1 more source

Observer-Based Adaptive Fuzzy Output Feedback Control of Fractional-Order Chaotic Systems With Input Quantization

open access: yesFrontiers in Physics, 2022
This study investigates the adaptive fuzzy output feedback control of strict-feedback fractional-order chaotic systems with unmeasurable states and quantized input.
Hongling Qiu   +3 more
doaj   +1 more source

Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems [PDF]

open access: yes, 2008
We prove the global classical solvability of initial-boundary problems for semilinear first-order hyperbolic systems subjected to local and nonlocal nonlinear boundary conditions. We also establish lower bounds for the order of nonlinearity demarkating a
I. Kmit
semanticscholar   +1 more source

Optimizing the Maximum Lyapunov Exponent of Fractional Order Chaotic Spherical System by Evolutionary Algorithms

open access: yesFractal and Fractional, 2022
The main goal of this work is to optimize the chaotic behavior of a three-dimensional chaotic-spherical-attractor-generating fractional-order system and compare the results with its novel hyperchaotic counterpart. The fractional-order chaotic system is a
Vincent-Ademola Adeyemi   +3 more
doaj   +1 more source

Weak Solutions for a Simple Hyperbolic System [PDF]

open access: yes, 2001
The model studied concerns a simple first-order hyperbolic system. The solutions in which one is most interested have discontinuities which persist for all time, and therefore need to be interpreted as weak solutions.
Lyne, Owen D., Williams, David S.
core   +1 more source

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