Organonitrile 发表于 2025-3-23 12:18:16
Scalar Conservation Laws in One Space Dimension,Despite its apparent simplicity, the scalar conservation law in one space dimension possesses a surprisingly rich theory, which deserves attention not only for its intrinsic interest but also because it provides valuable insight in the behavior of systems.失望未来 发表于 2025-3-23 16:02:40
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Compensated Compactness,Approximate solutions to hyperbolic systems of conservation laws may be generated in a variety of ways: by the method of vanishing viscosity, through difference approximations, by relaxation schemes, etc.抵消 发表于 2025-3-23 22:35:23
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Genuinely Nonlinear Systems of Two Conservation Laws,recision comparable to that for genuinely nonlinear scalar conservation laws, expounded in Chapter XI. This will be achieved by exploiting the presence of coordinate systems of Riemann invariants and the induced rich family of entropy-entropy flux pairs.Hemiparesis 发表于 2025-3-24 10:52:09
The Front Tracking Method and Standard Riemann Semigroups,the waves and monitoring their interactions as they collide. Interactions between shocks are easily resolved by solving Riemann problems; this is not the case, however, with interactions involving rarefaction waves.同步信息 发表于 2025-3-24 17:08:25
Construction of , Solutions by the Vanishing Viscosity Method,on, will be constructed by the vanishing viscosity method. It will be shown that these solutions may be realized as trajectories of an .-Lipschitz semigroup, which reduces to the standard Riemann semigroup, introduced in Chapter XIV, when the system is genuinely nonlinear.Kinetic 发表于 2025-3-24 19:04:29
Steady and Self-Similar Solutions in Multi-Space Dimensions, Nevertheless, a number of important problems in two space dimensions are currently tractable, as they admit stationary or self-similar solutions, in which case the number of independent variables is reduced to two.CHAFE 发表于 2025-3-25 00:29:31
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