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L. Tartar (1979)
Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, vol. 4
Tai-Ping Liu (1987)
Nonlinear resonance for quasilinear hyperbolic equationJournal of Mathematical Physics, 28
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Yun-guang Lu (2002)
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L. Tartar (1979)
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N. Tsuge (2017)
Global entropy solutions to the compressible Euler equations in the isentropic nozzle flow for large data: Application of the modified Godunov scheme and the generalized invariant regionsarXiv: Analysis of PDEs
N. Tsuge (2013)
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M. Laforest (2003)
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Yun-guang Lu (2011)
Global existence of solutions to resonant system of isentropic gas dynamicsNonlinear Analysis-real World Applications, 12
N. Tsuge (2015)
Existence of a global solution to a scalar conservation law with a source term for large dataJournal of Mathematical Analysis and Applications, 432
N. Tsuge (2016)
Existence and stability of solutions to the compressible Euler equations with an outer forceNonlinear Analysis-real World Applications, 27
We are concerned with a scalar conservation law with a source term. This equation is proposed to describe the qualitative behavior of waves for a general system in resonance with the source term by T.P. Liu. In addition to this, the scalar conservation law is used in various areas such as fluid dynamics, traffic problems etc.
Acta Applicandae Mathematicae – Springer Journals
Published: Sep 15, 2016
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