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<p>The structural stability of Riemann solutions for a kind of Keyfitz-Kranzer (K-K) system with Chaplygin gas pressure and time-dependent source term is studied by the method of perturbation of initial value. It is rigorously proved that, as the perturbed parameter <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <mi>ε</mi> </math></EquationSource> <EquationSource Format="TEX">$\varepsilon $</EquationSource> </InlineEquation> tends to zero, no mass concentration will happen even the initial perturbed density depends on <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math> <mi>ε</mi> </math></EquationSource> <EquationSource Format="TEX">$\varepsilon $</EquationSource> </InlineEquation>, which implies that the Riemann solutions of the K-K system are stable under the local small perturbation of the initial data.</p>

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Stability of Riemann Solutions for an Inhomogeneous Keyfitz-Kranzer System with Chaplygin Gas Pressure

  • 期刊论文

  • 发表日期：

    2026年3月5日

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  • Mengqi Cui,
  • Yanyan Zhang,
  • Yu Zhang

摘要

The structural stability of Riemann solutions for a kind of Keyfitz-Kranzer (K-K) system with Chaplygin gas pressure and time-dependent source term is studied by the method of perturbation of initial value. It is rigorously proved that, as the perturbed parameter ε $\varepsilon $ tends to zero, no mass concentration will happen even the initial perturbed density depends on ε $\varepsilon $ , which implies that the Riemann solutions of the K-K system are stable under the local small perturbation of the initial data.