Abstract
In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the scalar non-viscous diffusive dispersive conservation law where the far field constant state is prescribed. We prove that the solution of the Cauchy problem tends toward the constant state as time goes to infinity.
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: 22K03371
Funding statement: The author’s research is supported by Grant-in-Aid for Scientific Research (C) (No. 22K03371), Japan Society for the Promotion of Science.
References
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Around the Świątkowski-type conditions
- Metamorphism—an integral transform reducing the order of a differential equation
- Linear isomorphic spaces of Cesàro–Nörlund operator, their duals and matrix transformations
- A generalized Suzuki–Berinde contraction that characterizes Banach spaces
- Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law
- Trigonometric Hermite interpolation method for Fredholm linear integral equations
- Smoothing Levenberg–Marquardt algorithm for solving non-Lipschitz absolute value equations
- Two-dimensional EMD with shape-preserving spline interpolation
- Computing subdifferential limits of operators on Banach spaces
- Certain aspects of ℐ-statistical supremum and ℐ-statistical infimum of real-valued sequences
- Weighted Simpson-like type inequalities for quasi-convex functions
- Bochner formula in generalized (k,μ)-space forms
- Convergence of a conjugate function in Zygmund space by almost Nörlund transform
- 2-point left Radau-type inequalities via s-convexity
- A general size-biased distribution
- A study of fuzzy anti-λ-ideal convergent triple sequence spaces
- Euler-type integrals for the generalized hypergeometric matrix function
- Korn’s inequality in anisotropic Sobolev spaces
Articles in the same Issue
- Frontmatter
- Around the Świątkowski-type conditions
- Metamorphism—an integral transform reducing the order of a differential equation
- Linear isomorphic spaces of Cesàro–Nörlund operator, their duals and matrix transformations
- A generalized Suzuki–Berinde contraction that characterizes Banach spaces
- Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law
- Trigonometric Hermite interpolation method for Fredholm linear integral equations
- Smoothing Levenberg–Marquardt algorithm for solving non-Lipschitz absolute value equations
- Two-dimensional EMD with shape-preserving spline interpolation
- Computing subdifferential limits of operators on Banach spaces
- Certain aspects of ℐ-statistical supremum and ℐ-statistical infimum of real-valued sequences
- Weighted Simpson-like type inequalities for quasi-convex functions
- Bochner formula in generalized (k,μ)-space forms
- Convergence of a conjugate function in Zygmund space by almost Nörlund transform
- 2-point left Radau-type inequalities via s-convexity
- A general size-biased distribution
- A study of fuzzy anti-λ-ideal convergent triple sequence spaces
- Euler-type integrals for the generalized hypergeometric matrix function
- Korn’s inequality in anisotropic Sobolev spaces