A Kinetic Approach to General First Order Quasilinear Equations
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Publication:3684524
DOI10.2307/1999673zbMath0568.35063OpenAlexW4240951914MaRDI QIDQ3684524
Shinnosuke Oharu, Tetsuro Miyakawa, Yoshikazu Giga
Publication date: 1985
Full work available at URL: https://doi.org/10.2307/1999673
existenceCauchy problemvanishing viscosity methodentropy solutionsglobal weak solutionsnonlinear semigroup theorymacroscopic thermo-fluid dynamics of gasesquasilinear equation of conservation
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Related Items (3)
Microscopic expression of anomalous dissipation in passive scalar transport ⋮ Very singular diffusion equations: second and fourth order problems ⋮ Semigroup approach to a doubly degenerate parabolic equation
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Cites Work
- Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension \(N+1\)
- A kinetic construction of global solutions of first order quasilinear equations
- Convergence and approximation of semigroups of nonlinear operators in Banach spaces
- The semigroup approach to first order quasilinear equations in several space variables
- A convergence theorem of nonlinear semigroups and its application to first order quasilinear equations
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Monotone Difference Approximations for Scalar Conservation Laws
- Discontinuous solutions of non-linear differential equations
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
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