【11031001】非线性双曲型与混合型偏微分方程国家自然基金项目

非线性双曲型与混合型偏微分方程

项目批准号： 11031001

批准年份： 2010

学科分类： A0306.混合型、退化型偏微分方程

项目负责人：陈恕行

资助类别：重点项目

负责人职称：教授

依托单位：复旦大学

资助金额： 150万元

关键词：激波;混合型方程;跨音速流;超音速流;非线性双曲型方程

起止时间： 2011-01-01到2014-12-31

中英文摘要
结题摘要
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项目成果
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序号	标题	类型	作者
1	HEURISTIC MODIFIED EQUATION ANALYSIS ON OSCILLATIONS IN NUMERICAL SOLUTIONS OF CONSERVATION LAWS	期刊论文	Li, Jiequan\|Yang, Zhicheng\|
2	Characteristic discontinuities and free boundary problems for hyperbolic conservation laws	会议论文	Chen, Gui-Qiang\|Wang,Yaguang \|
3	<span class="title">Fast Fourier transform option pricing with stochastic interest rate, stochastic volatility and double jumps</span>	期刊论文	Zhang Shumei\|Wang Lihe\|
4	Higher-order nondivergence elliptic and parabolic equations in Sobolev spaces and Orlicz spaces	期刊论文	Wang, Lihe\|Yao, Fengping\|
5	A free boundary problem for p-Laplacian in the plane	期刊论文	Wang Lihe\|Wang Lizhou\|
6	Stability for a nonlinear coupled system of elasticity and thermoelasticity with second sound	期刊论文	Meng Yiping\|Wang Yaguang\|
7	Global solution to Maxwell-Dirac equations in 1+1 dimensions	期刊论文	You, Aiguo\|Zhang, Yongqian\|
8	Remapping-Free Adaptive GRP Method for Multi-Fluid Flows I: One Dimensional Euler Equations	期刊论文	Qi, Jin\|Wang, Yue\|Li, Jiequan\|
9	Calderon-Zygmund theory for nonlinear elliptic problems with irregular obstacles	期刊论文	Byun, Sun-Sig\|Cho, Yumi\|Wang, Lihe\|
10	Lateral boundary differentiability of solutions of parabolic equations on cylindrical convex domains	期刊论文	Huang, Yongpan\|Li, Dongsheng\|Wang, Lihe\|
11	Reflection and refraction of shocks on an interface with a reflected rarefaction wave	期刊论文	Fang Beixiang\|Wang, Yaguang\|Yuan, Hairong\|
12	<span class="title">A fast numerical approach to option pricing with stochastic interest rate</span>	期刊论文	Zhang Sumei\|Wang Lihe\|
13	Degenerate Goursat-type boundary value problems arising from the study of two-dimensional isothermal Euler equations	期刊论文	Hu, Yanbo\|Li, Jiequan\|Sheng, Wancheng\|
14	W^{1,p(.)}-regularity for elliptic equations with measurable coefficients in nonsmooth domains	期刊论文	Sun-Sig Byun\|Jihhoon Ok\|Lihe Wang\|
15	Shock waves for the hyperbolic balance laws with discontinuous sources	期刊论文	Tang, Pingfan\|Wang, Ya-Guang\|
16	Logarithmically improved criteria for euler and navier-stokes equations	期刊论文	Zhou, Yi\|Lei, Zhen\|
17	<span class="title">Divergence form parabolic equations on time-dependent quasiconvex domains</span>	期刊论文	Jia Huilian\|Wang Lihe\|
18	Singular perturbation method for inhomogeneous nolinear free boundary problems	期刊论文	Diego Moreira\|Lihe Wang\|
19	Compressible Euler equations with second sound: Asymptotics of discontinuous solutions	期刊论文	Fang, Beixiang\| Reinhard Racke\|
20	A Fast Fourier Transform Technique for Pricing European Options with Stochastic Volatility and Jump Risk	期刊论文	Zhang, Su-mei\|Wang, Li-he\|
21	Compressible Euler equations with second sound: Asymptotics of discontinuous solutions	期刊论文	Fang, Beixiang\|Racke, Reinhard\|
22	Existence of solutions to an initial–boundary value problem of multidimensional radiation hydrodynamics	期刊论文	Jiang Peng\|Wang Yaguang\|
23	The Tricomi problem of a quasi-linear Lavrentiev-Bitzadze mixed type equation	期刊论文	Chen,Shuxing \|Feng, Zhenguo \|
24	Global regularity for divergence form elliptic equations in Orlicz spaces on quasiconvex domains	期刊论文	Jia, Huilian\|Li, Dongsheng\|Wang, Lihe\|
25	Hessian estimates for fourth order elliptic systems with singular BMO coefficients in composite Reifenberg domains	期刊论文	Hu Fangju\|Li Dongsheng\|Wang Lihe\|
26	The generalized Riemann problems for compressible fluid flows: Towards high order	期刊论文	Qian, Jianzhen\|Li, Jiequan\|Wang, Shuanghu\|
27	Blow Up for Some Semilinear Wave Equations in Multi-space Dimensions	期刊论文	Han, Wei\|Zhou, Yi\|
28	The Riemann problem of the Burgers equation with a discontinuous source term	期刊论文	Fang, Beixiang\|Tang, Pingfan\|Wang, Ya-Guang\|
29	Boundary first order derivative estimates for fully nonlinear elliptic equations	期刊论文	Ma, Fei yao\|Wang, Lihe\|
30	Symmetry and monotonicity of integral equation systems	期刊论文	Huang, Xiaotao\|Li, Dongsheng\|Wang, Lihe\|
31	The inviscid limit of the incompressible anisotropic Navier-Stokes equations with the non-slip boundary condition	期刊论文	Liu, C.J.\|Wang, Yaguang\|
32	A MIXED EQUATION OF TRICOMI-KELDYSH TYPE	期刊论文	Chen Shuxing\|
33	Global regularity for higher order divergence elliptic and parabolic equations	期刊论文	Wang, Lihe\|Yao, Fengping\|
34	Hausdorff Measure estimates and Lipschitz regularity in inhomogneous nonlinear free boundary problems	期刊论文	Moreira, Diego\|Wang, Lihe\|
35	L (p) -regularity for fourth order parabolic systems with measurable coefficients	期刊论文	Byun, Sun-Sig\|Wang, Lihe\|
36	Weak stability of transonic contact discontinuities in three-dimensional steady non-isentropic compressible Euler flows	期刊论文	Wang Yaguang\|Yuan Hairong\|
37	Symmetry of integral equation systems with Bessel kernel on bounded domains	期刊论文	Huang Xiaotao\|Li Dongsheng\|Wang Lihe\|
38	Reflection of shock fronts in a van der Waals fluid	期刊论文	Zhang, Shuyi\|Wang, Yaguang\|
39	Symmetry of integral equation systems on bounded domains	期刊论文	Huang, Xiaotao\|Li, Dongsheng\|Wang, Lihe\|
40	Nonlinear geometric optics for contact discontinuities in three dimensional compressible isentropic steady flows	期刊论文	Wang, Ya-Guang\|Yu, Fang\|
41	Stability of boundary layers for the nonisentropic compressible circularly symmetric 2d flow	期刊论文	Liu, Cheng-Jie\|Wang, Ya-Guang\|
42	Shock waves for the hyperbolic balance laws with discontinuous sources	期刊论文	Tang, Pingfan\|Wang, Yaguang\|
43	The generalized Riemann problems for compressible fluid flows: Towards high order	期刊论文	Qian, Jianzhen\|Li, Jiequan\|Wang, Shuanghu\|
44	Accuracy of the Adaptive GRP Scheme and the Simulation of 2-D Riemann Problems for Compressible Euler Equations	期刊论文	Han, Ee\|Li, Jiequan\|Tang, Huazhong\|
45	Global strong solution to a nonlinear Dirac type equation in one dimension	期刊论文	Zhang, Yongqian\|
46	Lateral boundary differentiability of solutions of parabolic equations in nondivergence form	期刊论文	Huang, Yongpan\|Li, Dongsheng\|Wang, Lihe\|
47	Singular perturbation method for inhomogeneous nonlinear free boundary problems	期刊论文	Moreira, Diego\|Wang, Lihe\|
48	Global Uniqueness of Transonic Shocks in Two-Dimensional Steady Compressible Euler Flows	期刊论文	Fang, Beixiang\|Liu, Li\|Yuan, Hairong\|
49	Irrotational approximation to the one-dimensional bipolar Euler-Poisson system	期刊论文	Geng, Jinbo\|Zhang, Yongqian\|
50	Radial symmetry results for systems of integral equations on Omega subset of R-n	期刊论文	Huang, Xiaotao\|Li, Dongsheng\|Wang, Lihe\|
51	A NONLINEAR LAVRENTIEV-BITSADZE MIXED TYPE EQUATION	期刊论文	Chen Shuxing\|
52	The inviscid limit of the incompressible anisotropic Navier-Stokes equations with the non-slip boundary condition	期刊论文	Liu, Cheng-Jie\|Wang, Ya-Guang\|
53	The adaptive GRP scheme for compressible fluid flows over unstructured meshes	期刊论文	Li, Jiequan\|Zhang, Yongjin\|
54	TWO-DIMENSIONAL RIEMANN PROBLEMS FOR CHAPLYGIN GAS	期刊论文	Chen, Shuxing\|Qu, Aifang\|
55	Cauchy problem with general discontinuous initial data along a smooth curve for 2-d Euler system	期刊论文	Chen, Shuxing\|Li, Dening\|
56	H\"older estimates for elliptic equations degenerate on part of the boundary of a domain	期刊论文	Song, Qiaozhen\|Wang, Lihe\|
57	American lookback option with fixed strike price—2-D parabolic variational inequality <sup><a class="intra_ref" id="bitem1" href="http://www.sciencedirect.com/science/article/pii/S0022039611002841#item1"></a>	期刊论文	Chen Xiaoshan\|Yi Fahuai\|Wang Lihe\|
58	Life-Span of Solutions to Critical Semilinear Wave Equations	期刊论文	Zhou, Yi\|Han, Wei\|
59	Derivation of Prandtl boundary layer equations for the incompressible Navier-Stokes equations in a curved domain	期刊论文	Liu, Cheng-Jie\|Wang, Ya-Guang\|
60	Nonlinear gradient estimates for elliptic equations of general type	期刊论文	Byun, Sun-Sig\|Wang, Lihe\|
61	Well-posedness of the prandtl equation in Sobolev spaces	期刊论文	R. ALEXANDRE,\|Wang Yaguang\|Xu Chaojiang\|Yang Tong\|
62	Blow-up of solutions to semilinear wave equations with variable coefficients and boundary	期刊论文	Zhou, Yi\|Han, Wei\|
63	Global Solutions of the Evolutionary Faddeev Model with Small Initial Data	期刊论文	Lei, Zhen\|Lin, Fang Hua\|Zhou, Yi\|
64	<span class="title">The inviscid limit and stability of characteristic boundary layers for the compressible Navier-Stokes equations with Navier-friction boundary conditions</span>	期刊论文	Wang Yaguang\|Williams Mark\|
65	A symmetry result for the torsion equation in an unbounded domain in 2D	期刊论文	Wang, Lihe\|Wang, Lizhou\|
66	Boundary behavior of solutions of elliptic equations in nondivergence form	期刊论文	Huang, Yongpan\|Li, Dongsheng\|Wang, Lihe\|
67	Interaction of Rarefaction Waves and Vacuum in a Convex Duct	期刊论文	Chen, Shuxing\|Qu, Aifang\|
68	Weakly Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws	期刊论文	Chen, Gui-Qiang\|Xiang, Wei\|Zhang, Yongqian\|
69	L^{q} regularity for p-laplace type Baouendi-Grushin equations	期刊论文	Huang Xiaotao\|Ma Feiyao\|Wang, Lihe\|
70	A new proof of L-p estimates of Stokes equations	期刊论文	Hu, Fangju\|Li, Dongsheng\|Wang, Lihe\|
71	SCHAUDER TYPE ESTIMATES OF LINEARIZED MULLINS-SEKERKA PROBLEM	期刊论文	Ma, Feiyao\|Wang, Lihe\|
72	Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations	期刊论文	Li, Jiequan\|Li, Qibing\|Xu, Kun\|
73	An elementary proof of Strauss conjecture	期刊论文	Lai, Ning-An\|Zhou, Yi\|
74	高维非线性守恒律方程组	期刊论文	陈恕行\|
75	Existence of entropy solutions to two-dimensional steady exothermically reacting euler equations	期刊论文	Chen, Gui-Qiang\|Xiao, Changguo\|Zhang, Yongqian\|
76	The Riemann problem of the Burgers equation with a discontinuous source term	期刊论文	Fang, Beixiang\|Tang, Pingfan\|Wang, Ya-Guang\|
77	Global Existence of Critical Nonlinear Wave Equation with Time Dependent Variable Coefficients	期刊论文	Lai, Ning-An\|Zhou, Yi\|
78	Global existence and stability of a stationary Mach reflection	期刊论文	Chen Shuxing\|
79	Stability of contact discontinuities in three-dimensional compressible steady flows	期刊论文	Wang, Ya-Guang\|Yu, Fang\|
80	Stability of the E-H type regular shock refraction	期刊论文	Chen, Shuxing\|Hu, Dian\|Fang, Beixiang\|
81	Initial boundary value problems and formation of singularities for one-dimensional non-relativistic radiation hydrodynamic equations	期刊论文	Jiang, P.\|Wang,Yaguang \|
82	The lifespan for quasilinear wave equations with multiple propagation speeds in four space dimensions	期刊论文	Zha, Dongbing\|Zhou, Yi\|
83	Blow-up analysis for solutions to Neumann boundary value problem	期刊论文	Bao, Jun\|Wang, Lihe\|Zhou, Chunqin\|
84	From two-fluid Euler-Poisson equations to one-fluid Euler equations	期刊论文	Li, Yachun\|Peng, Yue-Jun\|Wang, Ya-Guang\|
85	Global Uniqueness of Steady Transonic Shocks in Two--Dimensional Compressible Euler Flows	期刊论文	Fang, Beixiang\|Liu,Li\|Yuan, Hairong\|
86	Characteristic decompositions and interactions of rarefaction waves of 2-D Euler<br /> equations	期刊论文	Li Jiequan\|Yang Zhicheng\|Zheng Yuxi\|
87	The von Neumann analysis and modified equation approach for finite difference schemes	期刊论文	Li, Jiequan\|Yang, Zhicheng\|
88	Numerical defects of the hll scheme and dissipation matrices for the euler equations	期刊论文	Wang, Yue\|Li, Jiequan\|
89	W-1,W-p(.)-Regularity for Elliptic Equations with Measurable Coefficients in Nonsmooth Domains	期刊论文	Byun, Sun-Sig\|Ok, Jihoon\|Wang, Lihe\|
90	E-H Type Mach Configuration and its Stability	期刊论文	Chen, Shuxing\|
91	Stabilization Effect of Magnetic Fields on Two-Dimensional Compressible Current-Vortex Sheets	期刊论文	Wang, Ya-Guang\|Yu, Fang\|
92	Existence of entropy solutions to two-dimensional steady exothermically reacting Euler equations	期刊论文	Chen, Gui-qiang\|Xiao, Changguo\|Zhang, Yongqian\|

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