Results 211 to 220 of about 13,388 (258)
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2003
Abstract Hyperbolic equations are the easiest scalar second-order equations to classify from the point of view of the Cauchy problem. They occur commonly in practical applications, as is evident from studying the models of Chapter 2.
John Ockendon +3 more
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Abstract Hyperbolic equations are the easiest scalar second-order equations to classify from the point of view of the Cauchy problem. They occur commonly in practical applications, as is evident from studying the models of Chapter 2.
John Ockendon +3 more
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On the Domain of Hyperbolicity of the Cumulant Equations
Journal of Statistical Physics, 2005The first part of this paper gives an overview on modeling flow of a non-reacting mixture of gases by kinetic theory and how to derive approximate, mesoscopic model equations, the moment equations. The second part gives a short overview of the cumulant method, an alternative method of approximation that results in particularly simple equations.
Seeger, S., Hoffmann, K. H.
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On Hyperbolic Partial Differential Equations
American Journal of Mathematics, 1952where p = zx, q = zy, it is assumed that f is continuous in (x, y, z, p, q) and satisfies a uniform Lipschitz conditioni with respect to (z, p, q). It will be shown (Section 2) that the assumption of a Lipschitz. condition with respect to z can be omitted in these existence theorems, though not in the uniqueness theorems.
Hartman, Philip, Wintner, Aurel
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Oscillation of a class of hyperbolic equations
Applied Mathematics and Computation, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peiguang Wang, Weigao Ge
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Semilinear equations in the “hyperbolic” case
Nonlinear Analysis: Theory, Methods & Applications, 1995The author obtains a `generalized variation of constants formula' for the solutions in generalized sense to the inhomogeneous initial value problem (A) \(u'(t)= A(t) u(t)+ f(t)\) for \(t\in [0, T]\), \(u(0)= x\), where \(\{A(t)\}\) is a family of closed linear operators in \(X\) satisfying all conditions corresponding to the `hyperbolic' case except ...
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Composite Methods for Hyperbolic Equations
SIAM Journal on Numerical Analysis, 1977A composite scheme is presented which combines the properties of the Lax–Wendroff and leapfrog algorithms. The stability properties in one dimension are analyzed for both the pure initial value and for the initial boundary value problem. In two space dimensions one must be careful which generalization of Lax–Wendroff and which generalization of ...
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The Fuchsian approach to global existence for hyperbolic equations
Communications in Partial Differential Equations, 2021Florian Beyer +2 more
exaly
Boundary sliding mode control of a system of linear hyperbolic equations: A Lyapunov approach
Automatica, 2022Thibault Liard +2 more
exaly
Computational Methods for Hyperbolic Equations
2008This is an introduction to some of the basic concepts on modern numerical methods for computing approximate solutions to hyperbolic partial differential equations. This chapter is divided into five sections. Section 1 contains a review of some elementary theoretical concepts on hyperbolic equations, mainly focused on the linear case; the Riemann ...
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