Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
DOI10.1016/j.physd.2003.09.039zbMath1098.76603OpenAlexW2126212435WikidataQ57386501 ScholiaQ57386501MaRDI QIDQ1885861
Gui-Qiang G. Chen, Hai-liang Liu
Publication date: 12 November 2004
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2003.09.039
Numerical simulationsEuler equationsTransport equationsCavitationConcentration\(\delta\)-ShocksMeasure solutionsNonisentropic fluidsPressureless fluidsVacuum statesVanishing pressure limit
Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Basic methods in fluid mechanics (76M99)
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Cites Work
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- Non-oscillatory central differencing for hyperbolic conservation laws
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Divergence-measure fields and hyperbolic conservation laws
- Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
- Two-dimensional Riemann problem for a hyperbolic system of nonlinear conservation laws. II: Initial data involving some rarefaction waves
- On the Cauchy problem of transportation equations
- On the \(2\)-D Riemann problem for the compressible Euler equations. II: Interaction of contact discontinuities
- A class of nonlinear, nonhyperbolic systems of conservation laws with well-posed initial value problems
- Uniqueness and stability of Riemann solutions with large oscillation in gas dynamics
- Spaces of weighted measures for conservation laws with singular shock solutions
- Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- The Riemann Problem in Gas Dynamics
- The Riemann problem for the transportation equations in gas dynamics
- Sticky Particles and Scalar Conservation Laws
- Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients
- Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics
- Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
- Numerical Approximations of Pressureless and Isothermal Gas Dynamics
- On the theory of divergence-measure fields and its applications
- Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
- Well posedness for pressureless flow