Results 211 to 220 of about 3,812 (246)

A Novel Algebraic Saturation-Based PID Controller Optimized by Animated Oat Algorithm for Ultra-Fast Dynamic Response of Automatic Voltage Regulation. [PDF]

Biomimetics (Basel)
Türksoy Ö.
europepmc   +1 more source

Initial-Boundary Value Problems and Exact Solutions for Second Order Nonlinear Elliptic-Hyperbolic Equations

, 1997
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Wellposedness and regularity of second order abstract equations arising in hyperbolic-like problems with nonlinear boundary conditions

Wellposedness and regularity of second order abstract equations arising in hyperbolic-like problems with nonlinear boundary conditions
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New trends in the theory of nonlinear weakly hyperbolic equations of second order

Nonlinear Analysis: Theory, Methods & Applications, 1997
Today we have a relatively complete overview over the theory of strictly hyperbolic equations. If we consider for example the linear strictly hyperbolic equation of second-order \[ u_{tt}- a(x, t)u_{xx}+ b(x, t)u_x+ c(x,t)u_t+ d(x,t)u= f(x, t),\tag{1} \] strictly hyperbolic means, that the bounded coefficient \(a= a(x,t)\) satisfies \(a(x,t)\geq C>0\).
Michael Reissig, Piero D'Ancona
exaly   +3 more sources

Tangent interation of co-normal waves for second order full nonlinear strickly hyperbolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1992
Let \(u(x)\) be a solution of a full nonlinear strictly hyperbolic equation on \(\Omega\subset \mathbb{R}^ 3\) and let \(\Sigma_ 1\) and \(\Sigma_ 2\) be characteristic surfaces being simply tangent along the line \(\Gamma\). Using the paradifferential calculus the authors give the regularity properties [similar to that in the paper of \textit{S ...
Yin, Huicheng, Qiu, Qingjiu
exaly   +3 more sources

Computer Complex for Modeling Nonlinear Hyperbolic Equations of Second Order

2022 IEEE 3rd International Conference on System Analysis & Intelligent Computing (SAIC), 2022
Alexander Makarenko, Anton Popov
exaly   +2 more sources

Numerical methods for nonlinear second-order hyperbolic partial differential equations. II – Rothe’s techniques for 1-D problems

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J I Ramos
exaly   +2 more sources

Oblique derivative problems for second order nonlinear equations of mixed type with degenerate hyperbolic curve

Acta Mathematica Sinica, English Series, 2011
The present paper deals with oblique derivative problems for second order nonlinear equations of mixed type with degenerate hyperbolic curve, which include the Tricomi problem as a special case. Firstly the formulation of the problems for the equations is given, next the representation and estimates of solutions for the above problems are obtained ...
Guo Chun Wen
exaly   +2 more sources

Supplement to Cosine Methods for Nonlinear Second-Order Hyperbolic Equations

Mathematics of Computation, 1989
This is the supplement to the authors' paper [ibid. 52, No.186, 299-319 (1989; reviewed above)] providing the detailed proofs of the results on consistency, error estimates, convergence and starting schemes. Some remarks on the validity of certain hypotheses are also given in an appendix.
Bales, Laurence A., Dougalis, Vassilios A.   +1 more
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Second Order Hyperbolic Equations with Small Nonlinearities

SIAM Journal on Applied Mathematics, 1978
A second order partial differential equation which describes the propagation of one-dimensional nonlinear waves in a bounded, inhomogeneous, dissipative medium is analyzed using the method of multiple scales. The conditions under which the oppositely traveling components of the nonlinear motion uncouple to first order are given.
Seymour, Brian R., Mortell, Michael P.
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