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Tuesday, July 28, 2020 | History

3 edition of The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations found in the catalog.

The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations

Stanley Osher

The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations

by Stanley Osher

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  • 2 Currently reading

Published by National Aeronautics and Space Administration, Langley Research Center in Hampton, Va .
Written in English

    Subjects:
  • Cauchy problem.,
  • Hamilton-Jacobi equation.,
  • Problem solving.

  • Edition Notes

    StatementStanley Osher.
    SeriesICASE report -- no. 89-53., NASA contractor report -- 181887., NASA contractor report -- NASA CR-181887.
    ContributionsLangley Research Center.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL18222768M

    We consider in this paper a class of single-ratio fractional minimization problems, in which the numerator part of the objective is the sum of a nonsmooth nonconvex function and a smooth nonconvex function while the denominator part is a nonsmooth convex function. Besides, the three functions involved in the objective are all nonnegative. Jianliang Qian and Yong-Tao Zhang and Hong-Kai Zhao A Fast Sweeping Method for Static Convex Hamilton--Jacobi Equations Shuhai Zhang and Chi-Wang Shu A New Smoothness Indicator for the WENO Schemes and Its Effect on the Convergence to Steady State Solutions

    35Qxx: Equations of mathematical physics and other areas of application 35Q Euler-Poisson-Darboux equation and generalizations 35Q Riemann-Hilbert problems. The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes Workshop on Mathematical Analysis (Universidad de Alicante) Fiebig P.: Lefschetz operators, Hodge-Riemann forms, and representations () Fiebig P., Lanini M.: Sheaves on the alcoves and modular representations I () Fiebig P., Lanini M.

    Comments: The argument in the proof of Proposition is wrong and I cannot give simple conditions ensuring that the function is strictly increasing. This makes the statements much less clear if we cannot ensure it, so I hope I will be able to handle it. Besides, the limit in Lemma is . We prove that the superlinear indefinite equation u″ + a(t)up = 0, where p > 1 and a(t) is a T-periodic sign-changing function satisfying the (sharp) mean value condition ∫0Ta(t)dt.


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The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations by Stanley Osher Download PDF EPUB FB2

Simple inequalities are presented for the viscosity solution of a Hamilton–Jacobi equation in N space dimension when neither the initial data nor the Hamiltonian need be convex (or concave). The initial data are uniformly Lipschitz and can be written as the sum of a convex function in a group of variables and a concave function in the remaining variables, therefore including the Cited by: The Nonconvex Multidimensional Riemann Problem for Hamilton–Jacobi Equations should be extended to the solution of Hamilton-Jacobi equations.

The. Get this from a library. The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations. [Stanley Osher; Langley Research Center.]. The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations [microform] / Stanley Osher Separation of variables for the Hamilton-Jacobi equation on complex projective spaces / by C.P.

Boyer, E. The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations [microform] / Stanley Osher. Hampton, Va.: National Aeronautics. M. Bardi and S. Osher, The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations, SIAM Journal on Mathematical Analysis, v22 (), pp– MathSciNet CrossRef zbMATH Google ScholarCited by: {7} M.

Bardi, S. Osher, The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations, SIAM J. Numer. Anal. 22 () ]] Google Scholar Digital Library {8} G. Barles, C. Georgelin, A simple proof of convergence for an approximation scheme for computing motions by mean curvature, SIAM J.

Numer. Anal. 32 () ]]Cited by: 1. The nonconvex multi-dimensional Riemann problem for Hamilton—Jacobi equations. SIAM J. Math. Anal., –, MathSciNet zbMATH CrossRef Google ScholarCited by: 9. Osher, R. Fedkiw, Level Set Methods and Dynamic Implicit Surfaces. Springer-Verlag New York, Applied Mathematical Sciences, BOOK.

S.J. Osher, The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equa-tions. SIAM J. Math. Anal., 22, RESEARCH ARTICLE. High-order essentially nonoscillatory schemes. SIAM Journal on Mathematical AnalysisAbstract | PDF ( KB) () Classification of the Riemann problem for compressible two Cited by: In Section 4, we optimize the scheme devised by Gadd [16].

Next, the optimal cfl for some multi-level schemes, namely, 6P50, 8P, 8P and 10P90 [17] are computed using MIEELDLD in. Section 2 is devoted to high resolution shock capturing methods for problems with discontinuous or otherwise nonsmooth solutions.

Hamilton–Jacobi equations of the form S. OsherThe nonconvex multi-dimensional Riemann problem for Hamilton–Jacobi equations. SIAM J. Numer. Anal., 22 (), pp. Cited by: 1. Cima-ue, Rua Romão Rama Évora, P, Portugal.

Cima-ue, Rua Romão Rama P Évora, PortugalCited by: 1. Osher and C.-W. Shu, High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations, SIAM Journal on Numerical Analysis, v28 (), pp C.-W.

Shu, A numerical method for systems of conservation laws of mixed type admitting hyperbolic flux splitting, Journal of Computational Physics v (), pp Tom Cecil, Jianliang Qian and Stanley Osher, Numerical methods for high dimensional Hamilton–Jacobi equations using radial basis functions, Journal of Computational Physics, /,1, (), ().Cited by: M.

Goudiaby, M. Diagne and Ben M. Dia, Solution to a Riemann Problem at the Junction of Two Reaches, CARI Keywords: Riemann problem, Saint-Venant equations, hyperbolic systems, open canal network. Klingenberg, Markfelder, S.: “Non-uniqueness of energy-conservative solutions to the isentropic compressible two-dimensional Euler equations ”, Journal of Hyperbolic Differential Equations, Vol.

15,4 () view PDF Klingenberg, Pirner, M., Puppo, G.: “Kinetic ES-BGK models for a multi-component gas mixture”, published in C. Klingenberg and M. Regularity and global structure of solutions to Hamilton-Jacobi equations II. Convex initial data, J.

Hyperbol. Differ. 6 (), no. 4, Y. Di, R. Li, and T. Tang, A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows, Commun. Comput. Phys. 3 (), Klingenberg, Markfelder, S.: “Non-uniqueness of energy-conservative solutions to the isentropic compressible two-dimensional Euler equations ”, Journal of Hyperbolic Differential Equations, Vol.

15,4 () view PDF - Klingenberg, Pirner, M., Puppo, G.: “Kinetic ES-BGK models for a multi-component gas mixture”, published in C. Klingenberg and M. The Nonconvex Multidimensional Riemann Problem for Hamilton-Jacobi Equations, SIAM J.

on Anal. 22, (). [8] Barles, G., Solutions de Viscosite des Equations de Hamilton-Jacobi, Springer-Verlag, Berlin (). [9]. The fractional-time derivatives and integrals are considered, on time scales, in the Riemann--Liouville sense. By using the Banach fixed point theorem, sufficient conditions for existence and uniqueness of solution to initial value problems described by fractional order differential equations on time scales are known.

Assuming certain attachment and detachment mechanisms at the steps, we have obtained a Hamilton-Jacobi equation for the surface height which is coupled with a diffusion equation for the edge adatom density. These equations are supplemented with boundary conditions to describe the evolution of peaks and valleys on the surface.Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition In: Quarterly of applied mathematics - Providence, RI: Brown University, Division of Applied Mathematics, Bd.S.