A complete global solution to the pressure gradient equation
نویسندگان
چکیده
منابع مشابه
A Complete Global Solution to the Pressure Gradient Equation
We study the domain of existence of a solution to a Riemann problem for the pressure gradient equation in two space dimensions. The Riemann problem is the expansion of a quadrant of gas of constant state into the other three vacuum quadrants. The global existence of a smooth solution was established in Dai and Zhang [Arch. Rational Mech. Anal., 155(2000), 277-298] up to the free boundary of vac...
متن کاملGlobal Strong Solution to a Nonlinear Dispersive Wave Equation
In this paper, compared with the previous results, a new global existence for strong solutions to the equation is acquired provided that the potential (1−∂2 x)u0 changes sign on R, which improves considerably the previous result. Mathematics Subject Classification: 35G25, 35L05, 35Q35
متن کاملGlobal Solution for the Nonlinear Beam Equation
We prove the existence and uniqueness of global solution for the nonlinear beam equation with initial boundary condition: Q in x f u g t u u M u u ) ( ) ( ) ( ) ( 2 2 2 = ′ + Δ ∇ − Δ + ′ ′ φ α where tt u t x u = ′ ′ ) , ( , t u t x u = ′ ) , ( , 0 > α , φ , , g M is nonlinear functions and Δ is Laplacian in n R .
متن کاملA New Vapor Pressure Equation
The Wagner equation for prediction of vapor pressure has been modified in order to improve it accuracy. On the basis of this modifications, development of a new equation for prediction of vapor pressure is outlined. Examples of the use of the equation for obtaining vapor pressure for a total of 94 pure substance are given. The proposed equation combines simplicity and accuracy and performs as w...
متن کاملDecentralized gradient algorithm for solution of a linear equation
The paper develops a technique for solving a linear equation Ax = b with a square and nonsingular matrix A, using a decentralized gradient algorithm. In the language of control theory, there are n agents, each storing at time t an n-vector, call it xi(t), and a graphical structure associating with each agent a vertex of a fixed, undirected and connected but otherwise arbitrary graph G with vert...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2007
ISSN: 0022-0396
DOI: 10.1016/j.jde.2007.01.024