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Hyperbolic systems of conservation laws II
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Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves
Quasi-linear Hyperbolic Equations Conservation Laws Single Conservation Laws The Decay of Solutions as t Tends to Infinity Hyperbolic Systems of Conservation Laws Pairs of Conservation Laws NotesExpand
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On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
This paper reviews some of the recent developments in upstream difference schemes through a unified representation, in order to enable comparison between the various schemes. Special attention isExpand
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Integrals of Nonlinear Equations of Evolution and Solitary Waves
In Section 1 we present a general principle for associating nonlinear equations evolutions with linear operators so that the eigenvalues of the linear operator integrals of the nonlinear equation. AExpand
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Proof of a conjecture of P. Erdös on the derivative of a polynomial
  • P. Lax
  • Mathematics
  • 1 August 1944
Introduction. We start out from the following consequence of S. Bernstein's well known theorem on trigonometric polynomials. Let pn(z) be a polynomial of degree n for which | ^(^) | ^ 1 holds as \z\Expand
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Hyperbolic systems of conservation laws
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Shock Waves and Entropy
Publisher Summary This chapter provides an overview of shock waves and entropy. It describes systems of the first order partial differential equations in conservation form: ∂ t U + ∂ X F = 0, F =Expand
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Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
In a recent paper Zabusky has given an accurate estimate of the time interval in which solutions of the nonlinear string equation ytt = c2(1 + eyx)yxx exist. A previous numerical study of solutionsExpand
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