Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Shijin Deng"'
Autor:
Xiongfeng Yang, Shijin Deng
Publikováno v:
Mathematical Methods in the Applied Sciences. 43:3432-3456
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09b3558654cbde0288898431242df274
https://doi.org/10.1002/mma.6130
https://doi.org/10.1002/mma.6130
Autor:
Shijin Deng
Publikováno v:
Journal of Differential Equations. 265:863-890
In this paper, we consider the half-space problem for a parabolic–hyperbolic system arising from tumor angiogenesis. Under a mixed type boundary condition, we construct the Green's function for half-space problem by relating it with fundamental sol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1fdcedf195f1aa8003d3c000294db70
https://doi.org/10.1016/j.jde.2018.03.014
https://doi.org/10.1016/j.jde.2018.03.014
Autor:
Shijin Deng, Weike Wang
Publikováno v:
Journal of Differential Equations. 263:7372-7411
In this paper, we consider the half space problem for Euler equations with damping in 3-D. We restudy the fundamental solution for the Cauchy problem to obtain an exponentially sharp pointwise structure and a clear decomposition of the singular-regul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::281573f211fa4c88560920cb6b44fe1e
https://doi.org/10.1016/j.jde.2017.08.013
https://doi.org/10.1016/j.jde.2017.08.013
Autor:
Shih-Hsien Yu, Shijin Deng
Publikováno v:
Quarterly of Applied Mathematics. 75:433-503
In this paper we introduce a program to construct the Green’s function for the linearized compressible Navier-Stokes equations in several space dimensions. This program contains three components, a procedure to isolate global singularities in the G
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cebdd681a9b1b11d95dc377c624e5ecd
https://doi.org/10.1090/qam/1461
https://doi.org/10.1090/qam/1461
Autor:
Shijin Deng
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 143:193-210
In this paper, the initial–boundary value problem for p-system with damping in half space is studied with a posed mix boundary condition. The fundamental solution (Green’s function for Cauchy problem) is constructed with a sharp decaying structur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56198889c8f2576e6bdceb3e3af85519
https://doi.org/10.1016/j.na.2016.05.009
https://doi.org/10.1016/j.na.2016.05.009
Autor:
Shijin Deng
Publikováno v:
Journal of Mathematical Analysis and Applications. 490:124234
In this paper, we consider the half space problem for the system of compressible adiabatic flow through porous media in 2-D and 3-D. Combining energy method, Green's function method and bootstrap method, one establishes the decaying energy estimates
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::600a4d7bc301ddcdf4061792e5885c80
https://doi.org/10.1016/j.jmaa.2020.124234
https://doi.org/10.1016/j.jmaa.2020.124234
Publikováno v:
Archive for Rational Mechanics and Analysis. 216:881-903
We study the d’Alembert equation with a boundary. We introduce the notions of Rayleigh surface wave operators, delayed/advanced mirror images, wave recombinations, and wave cancellations. This allows us to obtain the complete and simple formula of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c69948114fb3fc5236a5d30862712ac
https://doi.org/10.1007/s00205-014-0821-2
https://doi.org/10.1007/s00205-014-0821-2
Publikováno v:
Journal of Hyperbolic Differential Equations. 11:603-619
We study a simple kinetic model with a conservative boundary condition which resembles the Maxwell diffuse boundary condition for the Boltzmann equation. We use a streamlined approach to construct the global pointwise structure of the full boundary d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f7e1d31a051297e41204fe14f9f2e37
https://doi.org/10.1142/s0219891614500179
https://doi.org/10.1142/s0219891614500179
Autor:
Weike Wang, Shijin Deng
Publikováno v:
Science China Mathematics. 56:729-736
In this paper, we consider the large perturbation around the viscous shock of the scalar conservation law with viscosity in one dimension case. We divide the time region into t ⩽ T0 and t > T0 for a fixed constant T0 when applying energy method. Si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11c838e2dfe877db30a82c1fcab00230
https://doi.org/10.1007/s11425-012-4566-9
https://doi.org/10.1007/s11425-012-4566-9
Publikováno v:
Kinetic & Related Models. 6:865-882
This is a continuation of the paper [5] on the Broadwell model with conservative boundary condition. In this paper, based on the full boundary data obtained by LY algorithm and recombination lemma, we construct the Green's function for the initial bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::309f2fcbffad801348df7f2e34c97993
https://doi.org/10.3934/krm.2013.6.865
https://doi.org/10.3934/krm.2013.6.865