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A note on “well-posedness theory for hyperbolic conservation laws”

✍ Scribed by De-Xing Kong; T Yang


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
242 KB
Volume
16
Category
Article
ISSN
0893-9659

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✦ Synopsis


Communicated by D. Serre

Abstract--In this note, we generalize the recent result on L 1 well-posedness theory for strictly hyperbolic conservation laws to the nonstrictly hyperbolic system of conservation laws whose characteristics are with constant multiplicity. (~) 2003 Elsevier Science Ltd. All rights reserved.


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Well-posedness theory for hyperbolic con
✍ Tai-Ping Liu; Tong Yang 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB

The paper presents a well-posedness theory for the initial value problem for a general system of hyperbolic conservation laws. We will start with the refinement of Glimm's existence theory and discuss the principle of nonlinear superposition through wave tracing. Our main goal is to introduce a nonl