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Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160070112openalex-snapshot
Weak solutions of nonlinear hyperbolic equations and their numerical computation
inferredcites →https://doi.org/10.1002/cpa.3160180408openalex-snapshot
Solutions in the large for nonlinear hyperbolic systems of equations
inferredcites →https://doi.org/10.1002/cpa.3160190107openalex-snapshot
Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables
inferredcites →https://doi.org/10.1002/cpa.3160260205openalex-snapshot
Solutions in the large for some nonlinear hyperbolic conservation laws
inferredcites →https://doi.org/10.1002/cpa.3160330502openalex-snapshot
Global solutions of the cauchy problem for a nonhomogeneous quasilinear hyperbolic system
inferredcites →https://doi.org/10.1002/cpa.3160380610openalex-snapshot
On a weak solution for a transonic flow problem
inferredcites →https://doi.org/10.1007/978-94-009-7189-9_13openalex-snapshot
The Compensated Compactness Method Applied to Systems of Conservation Laws
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Convergence of approximate solutions to conservation laws
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Convexity conditions and existence theorems in nonlinear elasticity
inferredcites →https://doi.org/10.1007/bf01206047openalex-snapshot
Convergence of the viscosity method for isentropic gas dynamics
inferredcites →https://doi.org/10.1007/bf01418125openalex-snapshot
Quasilinear hyperbolic systems
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Weak Continuity and Weak Lower Semicontinuity of Non-Linear Functionals
inferredcites →https://doi.org/10.1007/bfb0096145openalex-snapshot
Introduction
inferredcites →https://doi.org/10.1016/0022-247x(80)90159-6openalex-snapshot
Solutions in the large for nonhomogeneous quasilinear hyperbolic systems of equations
inferredcites →https://doi.org/10.1016/s0252-9602(18)30329-1openalex-snapshot
A SUPPLEMENT TO THE PAPERS CONVERGENCE OF THE LAX–FRIEDRICHS SCHEME FOR ISENTROPIC GAS DYNAMICS (II)—(III)
inferredcites →https://doi.org/10.1016/s0252-9602(18)30535-6openalex-snapshot
CONVERGENCE OF THE LAX–FRIEDRICHS SCHEME FOR ISENTROPIC GAS DYNAMICS (III)
inferredcites →https://doi.org/10.1090/s0002-9947-1985-0808729-4openalex-snapshot
Compensated compactness and general systems of conservation laws
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Discontinuous solutions of non-linear differential equations
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inferredcites →https://doi.org/10.3792/pja/1195521083openalex-snapshot
Global solution for an initial boundary value problem of a quasilinear hyperbolic system

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Convergence to the Barenblatt Solution for the Compressible Euler Equations with Damping and Vacuum
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L 1 Convergence to the Barenblatt Solution for Compressible Euler Equations with Damping
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Isentropic Gas Flow for the Compressible Euler Equation in a Nozzle
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A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws
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Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density
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Global BV Entropy Solutions and Uniqueness for Hyperbolic Systems of Balance Laws
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Convergence of finite volume schemes for triangular systems of conservation laws
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Vanishing Viscosity Solutions of the Compressible Euler Equations with Spherical Symmetry and Large Initial Data
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Convergence to Equilibrium in Wasserstein Distance for Damped Euler Equations with Interaction Forces
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Global Finite-Energy Solutions of the Compressible Euler–Poisson Equations for General Pressure Laws with Large Initial Data of Spherical Symmetry
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Global L∞ Solutions to System of Isentropic Gas Dynamics in a Divergent Nozzle with Friction
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The Existence of a Bounded Invariant Region for Compressible Euler Equations in Different Gas States
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L2-convergence to nonlinear diffusion waves for Euler equations with time-dependent damping
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Weak continuity and compactness for nonlinear partial differential equations
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GLOBAL SOLUTIONS TO THE COMPRESSIBLE EULER EQUATIONS WITH GRAVITATIONAL SOURCE
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LARGE TIME DECAY OF SOLUTIONS TO ISENTROPIC GAS DYNAMICS WITH SPHERICAL SYMMETRY
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Asymptotic Behavior of the 3D Compressible Euler Equations with Nonlinear Damping and Slip Boundary Condition
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具有源项的等熵气体动力学方程组全局解的存在性
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Initial boundary value problem for compressible Euler equations with damping
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Convergence of Approximated Solutions to a Nonstrictly Hyperbolic System
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On Spherically Symmetric Motions of the Atmosphere Surrounding a Planet Governed by the Compressible Euler Equations
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Smoothability of $L^P$-Connections on Bundles and Isometric Immersions with $W^{2,P}$-Regularity
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Existence of entropy solutions to system of polytropic gas with a class of unbounded sources
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Global weak entropy solutions to quasilinear wave equations of Klein-Gordon and Sine-Gordon type
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On the structure of solutions of nonlinear hyperbolicsystems of conservation laws
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Instability of travelling wave profiles for the Lax-Friedrichs scheme
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Subsonic solutions of isentropic gas flows in a general duct
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Incompressible limit of Euler equations with damping
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Global existence and long-time behavior of entropy weak solutions to a quasilinear hyperbolic blood flow model
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Isothermal Limit of Entropy Solutions for the Euler Equations with Source Term
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Global Entropy Solutions in Linfinity to the Euler Equations and Euler-Poisson Equations for Isothermal Fluids with Spherical Symmetry
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Five open problems in compressible mathematical fluid dynamics
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$L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy
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TVD Fields and Isentropic Gas Flow
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On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations
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Expansion of a compressible gas in vacuum
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BV instability for the Lax-Friedrichs scheme
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