Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Hong, John M."'
In this paper, a modified version of conservative Physics-informed Neural Networks (cPINN for short) is provided to construct the weak solutions of Riemann problem for the hyperbolic scalar conservation laws in non-conservative form. To demonstrate t
Externí odkaz:
http://arxiv.org/abs/2305.12817
In this paper, we study the global existence and asymptotic behavior of classical solutions near vacuum for the initial-boundary value problem modeling isentropic supersonic flows through divergent ducts. The governing equations are the compressible
Externí odkaz:
http://arxiv.org/abs/2205.12433
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2023 527(1) Part 2
In this paper, we consider a generalized model of $2\times 2$ Keller-Segel system with nonlinear chemical gradient and small cell diffusion. The existence of the traveling pulses for such equations is established by the methods of geometric singular
Externí odkaz:
http://arxiv.org/abs/1712.08497
In this paper, we study the initial-boundary value problem of compressible Euler equations with friction and heating that model the combined Fanno-Rayleigh flows through symmetric variable area nozzles, in particular, the case of contracting nozzles
Externí odkaz:
http://arxiv.org/abs/1611.10083
The hydrodynamic escape problem (HEP), which is characterized by a free boundary value problem of Euler equation with gravity and heat, is crucial for investigating the evolution of planetary atmospheres. In this paper, the global existence of transo
Externí odkaz:
http://arxiv.org/abs/1511.00804
This paper focuses on the two-dimensional Benjamin-Bona-Mahony and Benjamin-Bona-Mahony-Burgers equations with a general flux function. The aim is at the global (in time) well-posedness of the initial-and boundary-value problem for these equations de
Externí odkaz:
http://arxiv.org/abs/1505.00425
Autor:
Hong, John M., LeFloch, Philippe G.
We introduce a generalization of Glimm's random choice method, which provides us with an approximation of entropy solutions to quasilinear hyperbolic system of balance laws. The flux-function and the source term of the equations may depend on the unk
Externí odkaz:
http://arxiv.org/abs/math/0701063
Akademický článek
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Publikováno v:
SIAM Journal on Applied Mathematics, 2014 Jan 01. 74(6), 1709-1741.
Externí odkaz:
http://www.jstor.org/stable/24511418