Hyperbolic conservation laws, integral balance laws and regularity of fluxes

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

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The generalized Riemann problems for compressible fluid flows: towards high order
A second-order Godunov-type scheme for compressible fluid dynamics
A direct Eulerian GRP scheme for compressible fluid flows
The existence of the flux vector and the divergence theorem for general Cauchy fluxes
Cauchy's theorem in classical physics
Divergence-measure fields and hyperbolic conservation laws
Thermodynamical effects and high resolution methods for compressible fluid flows
Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets
Transversal effects of high order numerical schemes for compressible fluid flows
Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem
Divergence measure fields and Cauchy's stress theorem
A direct Eulerian GRP scheme for spherically symmetric general relativistic hydrodynamics
A two-stage fourth order time-accurate discretization for Lax-Wendroff type flow solvers. I: Hyperbolic conservation laws
Riemann Solvers and Numerical Methods for Fluid Dynamics
Generalized Riemann Problems in Computational Fluid Dynamics
A Direct Eulerian GRP Scheme for a Blood Flow Model in Arteries
Consistency of finite volume approximations to nonlinear hyperbolic balance laws
Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws
Systems of conservation laws
Hyperbolic Conservation Laws in Continuum Physics
Regularity of fluxes in nonlinear hyperbolic balance laws

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