Myocyte
发表于 2025-3-25 03:26:38
Existence Theory for the Cauchy Problem an existence result for the Cauchy problem when the flux-function is .. We exhibit a solution given by an explicit formula (Theorem 1.1) and prove the uniqueness of this solution (Theorem 1.3). The approach developed in Section 1 is of particular interest as it reveals important features of classic
越自我
发表于 2025-3-25 10:08:39
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epicardium
发表于 2025-3-25 11:43:53
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pacifist
发表于 2025-3-25 16:50:23
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贵族
发表于 2025-3-25 22:34:55
Nonclassical Entropy Solutions of the Cauchy Problemharacteristic fields are genuinely nonlinear or concave-convex. (The result can be extended to linearly degenerate and convex-concave fields as well.) The proof is based on a generalization of the algorithm described in Chapter VII. Here, we use the nonclassical Riemann solver based on a given kinet
antecedence
发表于 2025-3-26 02:08:56
Continuous Dependence of Solutionsecewise approximate solutions and we refer to Chapter X for a discussion of the uniqueness of . solutions with bounded variation. In Section 1 we outline a general strategy based on a ... for a class of linear hyperbolic systems with discontinuous coefficients. The main result in Theorem 1.5 shows t
解冻
发表于 2025-3-26 07:20:09
Uniqueness of Entropy Solutionsed variation, slightly restricted by the so-called . (Definition 1.1). The results of existence and continuous dependence established in previous chapters covered solutions obtained as limits of piecewise constant approximate solutions with uniformly bounded total variation (in Chapters IV and V for
很像弓]
发表于 2025-3-26 11:43:52
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V切开
发表于 2025-3-26 12:55:54
Existence Theory for the Cauchy Problemlem, respectively; see Theorems 2.1 and 3.2 respectively. Finally in Section 4, we derive . for the total variation of solutions (Theorems 4.1 to 4.3) which represent a preliminary step toward the forthcoming discussion of the Cauchy problem for systems (in Chapters VII and VIII).
originality
发表于 2025-3-26 19:13:20
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