The Kirkwood-Salsburg equations: Solutions and spectral properties
نویسندگان
چکیده
منابع مشابه
Microstructure of two-phase random media. II. The Mayer-Montroll and Kirkwood-Salsburg hierarchies
It is shown that the Mayer-Montroll (MM) and Kirkwood-Salsburg (KS) hierarchies of equilibrium statistical mechanics for a binary mixture under certain limits become equations for the n -point matrix probability functions S. associated with two-phase random media. The MM representation proves to be identical to the S. expression derived by us in a previous paper, whereas the KS representation i...
متن کاملexistence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولOn the solving matrix equations by using the spectral representation
The purpose of this paper is to solve two types of Lyapunov equations and quadratic matrix equations by using the spectral representation. We focus on solving Lyapunov equations $AX+XA^*=C$ and $AX+XA^{T}=-bb^{T}$ for $A, X in mathbb{C}^{n times n}$ and $b in mathbb{C} ^{n times s}$ with $s < n$, which $X$ is unknown matrix. Also, we suggest the new method for solving quadratic matri...
متن کاملUniqueness Properties of Solutions to Schrödinger Equations
j=1 ∂u ∂xj (x) = 0, (harmonic functions) in the unit ball {x ∈ R : |x| < 1}. When n = 2, these functions are real parts of holomorphic functions, and so, if they vanish of infinite order at x = 0, they must vanish identically. We call this the strong unique continuation property (s.u.c.p.). The same result holds for n > 2, since harmonic functions are still real analytic in {x ∈ R : |x| < 1}. I...
متن کاملOn the Properties of Solutions of the Adjoint Euler Equations
The behavior of analytic and numerical adjoint solutions is examined for the quasi-1D Euler equations. For shocked ow, the derivation of the adjoint problem reveals that the adjoint variables are continuous with zero gradient at the shock and that an internal adjoint boundary condition is required at the shock. A Green's function approach is used to derive the analytic adjoint solutions corresp...
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: Communications in Mathematical Physics
سال: 1975
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01610000