Hyperbolic Balance Laws with a Non Local Source
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Publication:5437550
DOI10.1080/03605300701318849zbMath1138.35059arXiv0704.2031OpenAlexW3104438157MaRDI QIDQ5437550
Graziano Guerra, Rinaldo M. Colombo
Publication date: 21 January 2008
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0704.2031
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Cites Work
- Unnamed Item
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- The method of fractional steps for conservation laws
- The regularized Chapman-Enskog expansion for scalar conservation laws
- Viscosity solutions and uniqueness for systems of inhomogeneous balance laws
- Uniqueness and continuous dependence for systems of balance laws with dissipation
- Global \textbf{BV} entropy solutions and uniqueness for hyperbolic systems of balance laws
- Global well-posedness and relaxation limits of a model for radiating gas.
- \(L^1\) stability estimates for \(n\times n\) conservation laws
- A semilinear structure on semigroups in a metric space
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- On the stability of the standard Riemann semigroup
- Critical Thresholds in a Convolution Model for Nonlinear Conservation Laws
- Well-posedness theory for hyperbolic conservation laws
- ON A CLASS OF HYPERBOLIC BALANCE LAWS
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