SEMI-GLOBAL C1 SOLUTION TO THE MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS

By Tatsien Li, Yinghua Jin. 2001

88 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/90b72a9c5d537266d24b4234191ae93072e1e3d6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Martin Gugat
2. Michael Herty
3. Zhiqiang Wang

In Computational Mechanics

1. Martin Gugat
2. Zhiqiang Wang
3. Michael Herty

In Numerical Analysis

1. Martin Gugat
2. Zhiqiang Wang
3. Michael Herty

Citations in the corpus

• Exact Controllability for Nonautonomous First Order Quasilinear Hyperbolic Systems* (2006, result): “[4, 11]), we have |v(t, x)| ≤ Cmax{‖φ‖C0[0,L], ‖b‖C0[R(T0)], ‖c‖C0[R(T0)], ‖H‖C0[0,T0]}, ∀ (t, x) ∈ R(T ), (2.”
• EXISTENCE OF CLASSICAL SOLUTIONS AND FEEDBACK STABILIZATION FOR THE FLOW IN GAS NETWORKS (2011, methodology): “Local existence result In this section we apply a result of Wang [35] about semi-global C-solutions for initial-boundary value problems for quasilinear hyperbolic systems, see also [21–26].”