Open Questions in the Theory of One Dimensional Hyperbolic Conservation Laws
From MaRDI portal
Publication:2908806
DOI10.1007/978-1-4419-9554-4_1zbMath1251.35045OpenAlexW1530340925MaRDI QIDQ2908806
Publication date: 29 August 2012
Published in: Nonlinear Conservation Laws and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4419-9554-4_1
Cauchy problemapproximate solutionsRiemann problemhyperbolic conservation lawssolutions with large total variationTemple classwave-front trackingentropy weak solutionsGlimm scheme
Hyperbolic conservation laws (35L65) Proceedings, conferences, collections, etc. pertaining to partial differential equations (35-06) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)
Related Items (3)
Steady compressible Euler equations of concentration layers for hypersonic-limit flows passing three-dimensional bodies and generalized Newton-Busemann pressure law ⋮ Radon measure solutions to Riemann problems for isentropic compressible Euler equations of polytropic gases ⋮ Optimal control problem for viscous systems of conservation laws, with geometric parameter, and application to the shallow-water equations
Cites Work
- Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics
- Invariant manifolds for a singular ordinary differential equation
- Sufficient conditions for local existence via Glimm's scheme for large BV data
- Finite energy solutions to the isentropic Euler equations with geometric effects
- The boundary Riemann solver coming from the real vanishing viscosity approximation
- Convergence of approximate solutions to conservation laws
- Hyperbolic conservation laws with relaxation
- On the vacuum state for the equations of isentropic gas dynamics
- On the vacuum state for the isentropic gas dynamics equations
- Global solutions of systems of conservation laws by wave-front tracking
- The Riemann problem for general systems of conservation laws
- Global existence of solutions to nonlinear hyperbolic systems of conservation laws
- The entropy condition and the admissibility of shocks
- The deterministic version of the Glimm scheme
- Oleinik type estimates and uniqueness for \(n \times n\) conservation laws
- Continuous dependence for \(2 \times 2\) conservation laws with boundary
- On the front-tracking algorithm
- Uniqueness of weak solutions to systems of conservation laws
- A note on singular limits to hyperbolic systems of conservation laws
- On the Riemann problem for non-conservative hyperbolic systems
- BV solutions of the semidiscrete upwind scheme
- A uniqueness condition for hyperbolic systems of conservation laws.
- On the convergence of Godunov scheme for nonlinear hyperbolic systems
- Global \textbf{BV} entropy solutions and uniqueness for hyperbolic systems of balance laws
- Well-posedness for hyperbolic systems of conservation laws with large BV data
- \(L^1\) stability estimates for \(n\times n\) conservation laws
- The unique limit of the Glimm scheme
- The semigroup generated by \(2 \times 2\) conservation laws
- Global solutions to the compressible Euler equations with geometrical structure
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- Stability of front tracking solutions to the initial and boundary value problem for systems of conservation laws
- Polygonal approximations of solutions of the initial value problem for a conservation law
- The semigroup approach to first order quasilinear equations in several space variables
- Instability of travelling wave profiles for the Lax-Friedrichs scheme
- Hyperbolic systems of conservation laws II
- An instability of the Godunov scheme
- Admissible solutions of hyperbolic conservation laws
- Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws
- Discrete shock profiles for systems of conservation laws
- Systèmes de lois de conservation et stabilité BV
- Continuum shock profiles for discrete conservation laws I: Construction
- Uniqueness for discontinuous ODE and conservation laws
- Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws
- Blowup for Systems of Conservation Laws
- GRADIENT DRIVEN AND SINGULAR FLUX BLOWUP OF SMOOTH SOLUTIONS TO HYPERBOLIC SYSTEMS OF CONSERVATION LAWS
- On the convergence rate of vanishing viscosity approximations
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- Stability of Godunov's Method for a Class of 2 × 2 Systems of Conservation Laws
- Hyperbolic limit of the Jin‐Xin relaxation model
- Solutions in the large for nonlinear hyperbolic systems of equations
- Decay of solutions of systems of nonlinear hyperbolic conservation laws
- Front tracking for hyperbolic conservation laws
- Blowup in \(L^\infty\) for a class of genuinely nonlinear hyperbolic systems of conservation laws.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Open Questions in the Theory of One Dimensional Hyperbolic Conservation Laws
