Wellposedness in the Lipschitz class for a quasi-linear hyperbolic system arising from a model of the atmosphere including water phase transitions
DOI10.1007/S00030-013-0246-XzbMath1301.35099OpenAlexW1967014122MaRDI QIDQ464419
Davide Ascoli, Steave C. Selvaduray
Publication date: 17 October 2014
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-013-0246-x
phase transitionsintegral semilinear termsmodel of the atmospherequasi-linear hyperbolic systemsolutions in the Lipschitz class
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) First-order nonlinear hyperbolic equations (35L60) Three or more component flows (76T30) Liquid-gas two-phase flows, bubbly flows (76T10) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Cites Work
- Transport equation and Cauchy problem for BV vector fields
- Sistemi di equazioni a derivate parziali in più variabili indipendenti
- Traces and fine properties of a \(BD\) class of vector fields and applications
- Ordinary differential equations, transport theory and Sobolev spaces
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- A semigroup approach to \(W^{1,\infty}\)-solutions to a class of quasilinear hyperbolic systems
- Generlized solutions of linear differential equations with dicontinuous coefficients and the uniqueness question for multidimensional quasilinear conservation laws
- Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Wellposedness in the Lipschitz class for a quasi-linear hyperbolic system arising from a model of the atmosphere including water phase transitions
