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M. Luskin (1980)
A finite element method for first-order hyperbolic systemsMathematics of Computation, 35
Yanchun Zhao (1989)
A Class of Global Smooth Solutions of the One Dimensional Gas Dynamics System
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THE EXISTENCE OF A GLOBAL WEAK SOLUTION TO THE NON-LINEAR WATERHAMMER PROBLEMCommunications on Pure and Applied Mathematics, 35
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M. Luskin (1981)
On the Existence of Global Smooth Solutions for a Model of Fluid Flow in a PipeJ. Math. Anal. Appl., 84
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Constructive and Computational Methods for Differential and Integral Equations
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Boundary value problems for quasilinear hyperbolic systems
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Galerkin methods for modeling gas pipelines
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THE LARGE TIME BEHAVIOR OF GLOBAL SOLUTIONS FOR A MODEL EQUATION FOR FLUID FLOW IN A PIPEActa Mathematica Scientia, 11
M. Luskin (1981)
On the existence of global smooth solutions for a model equation for fluid flow in a pipeJournal of Mathematical Analysis and Applications, 84
Yujian Li, L. Hsiao (1996)
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Fluid Mechanics
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In this article the author considers the Cauchy problem for a model equations of fluid flow in a pipe, and under certain hypotheses on the initial data, the global smooth resolvability and the blow-up phenomena are obtained.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 7, 2007
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