منابع مشابه
The Blasius equation
The Blasius problem f ′′′ + ff ′′ = 0, f(0) = −a, f ′(0) = b, f ′(+∞) = λ is investigated, in particular in the difficult and scarcely studied case b < 0 λ. The shape and the number of solutions are determined. The method is first to reduce to the Crocco equation uu′′ + s = 0 and then to use an associated autonomous planar vector field. The most useful properties of Crocco solutions appear to b...
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It is proved that applying sufficient regularity conditions to the interval matrix $[A-|B|,A + |B|]$, we can create a new unique solvability condition for the absolute value equation $Ax + B|x|=b$, since regularity of interval matrices implies unique solvability of their corresponding absolute value equation. This condition is formulated in terms of positive deniteness of a certain point matrix...
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Let U(t, ) be solution of the Dirichlet problem y''+( t-q(t))y= 0 - 1 t l y(-l)= 0 = y(x), with variabIe t on (-1, x), for fixed x, which satisfies the initial condition U(-1, )=0 , (-1, )=1. In this paper, the asymptotic representation of the corresponding eigenfunctions of the eigen values has been investigated . Furthermore, the leading term of the asymptotic formula for ...
متن کاملOn the Concave Solutions of the Blasius Equation
The Blasius equation is an autonomous, third order, nonlinear differential equation, which results from an appropriate substitution in boundary layer equations. We study in details the concave solutions of initial value problems involving this equation, and apply our results to solve a related boundary value problem
متن کاملOn the Darboux Integrability of Blasius and Falkner–skan Equation
We study the Darboux integrability of the celebrated Falkner– Skan equation f ′′′+ff ′′+λ(1−f ′2) = 0, where λ is a parameter. When λ = 0 this equation is known as Blasius equation. We show that both differential systems have no first integrals of Darboux type. Additionally we compute all the Darboux polynomials and all the exponential factors of these differential equations.
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2006
ISSN: 0893-9659
DOI: 10.1016/j.aml.2005.08.010