The phrase "associated with solutions of" is correct and usable in written English.
It can be used in contexts where you are discussing relationships or connections between certain elements and their solutions, often in scientific or mathematical discussions.
Example: "The research findings are associated with solutions of complex equations that model the behavior of the system."
Alternatives: "linked to solutions of" or "related to solutions of".
Though not typically associated with solutions to poverty, this type of intervention is based on research pioneered in the Psychology Department at Stanford.
Because of difficulties associated with solution processing methods, alternative fabrication of thin films from dual-boat vacuum deposition and electrochemical deposition have recently been explored.
We are concerned with the existence of uniform attractors for the process associated with the solutions of the following non-autonomous p-Laplacian equation: u t − Δ p u + | u | p − 2 u + f ( u ) = g ( x, t ), ( x, t ) ∈ Ω × R. (1).
This study focuses on an approach to quantify the discretization error associated with numerical solutions of partial differential equations by solving an error transport equation (ETE).
We prove that I λ, the Euler-Lagrange functional associated with nonnegative solutions of (1) in W, satisfies a mountain pass geometry, circumventing the difficulties due to the fact that the ( p, q ) -Laplacian operator is not homogeneous.
By itself, fetuin-A accounts for about half to one-third of the total serum inhibitory capacity directed against spontaneous apatite precipitation associated with supersaturated solutions of calcium and phosphate [57], [66].
The numerical solution of such problems is associated with the solution of the following questions.
The idea of transport associated with the solution of a scalar equation is used for the convective part of the compressible Euler equations.
In order to reduce computational costs associated with the solution of the ensuing system of simultaneous equations, the HFGMC global system of equations for doubly-periodic RUCs was reduced in size through the use of Proper Orthogonal Decomposition.
The quantity of interest (QoI) associated with a solution of a partial differential equation (PDE) is not, in general, the solution itself, but a functional of the solution.
