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Conditions of boundary layer separation for Boussinesq equations
In this paper, we analyze structural bifurcation of solutions to 2-D incompressible Boussinesq equations, where no-slip boundary condition for...
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Separation of Variables
We are now ready to resume our work on solving the three main equations: the heat equation, Laplace’s equation, and the wave equation, using the...
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Convex Separation and Some Consequences
This chapter mainly concerns convex separation theorems that play a fundamental role in convex analysis and its numerous applications. We also study...
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On Some Generalized Topologies Satisfying all Separation Axioms
The properties of generalized topological spaces generated by some kind of density operators are presented. Moreover, the separation axioms of such...
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The Michaelis–Menten Reaction at Low Substrate Concentrations: Pseudo-First-Order Kinetics and Conditions for Timescale Separation
We demonstrate that the Michaelis–Menten reaction mechanism can be accurately approximated by a linear system when the initial substrate...
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Compressed Data Separation via ℓq-Split Analysis with ℓ∞-Constraint
In this paper, we study compressed data separation (CDS) problem, i.e., sparse data separation from a few linear random measurements. We propose the...
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Separation Axioms
Spaces satisfying some important separation axioms—Hausdorff spaces, normal, regular and completely regular spaces—are dealt with. Besides the basic...
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Separation Axioms
This chapter studies topological spaces by imposing certain conditions, called separation axioms on these spaces in terms of their points and open...
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Separation Axioms in Bipolar Fuzzy Topological Spaces
In this paper, the definition of the bipolar fuzzy (bf) point has been generalized, and using this, the concept of separation axioms has been...
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On proper separation of convex sets
The aim of this contribution is to propose an alternative but equivalent statement of the proper separation of two closed convex sets in a...
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Separation Conditions for Iterated Function Systems with Overlaps on Riemannian Manifolds
We formulate the weak separation condition and the finite type condition for conformal iterated function systems on Riemannian manifolds with...
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On separation by function of bounded variation
In the present paper we are concerned with the problem of separation of two given functions by an increasing (decreasing) function or by a function...
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Exact separation theorem for disjoint closed sets in Hilbert spaces
Using techniques of variational analysis and in terms of proximal normal cones, we establish exact separation results for finitely many disjoint...
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Application of Hybrid RANS/LES Methods for the Simulation of Shock-Induced Turbulent Boundary Layer Separation
AbstractThe results of shock-induced turbulent boundary layer separation simulations using scale-resolving methods with wall modelling (WMLES) are...
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Stability of the Phase Separation State for Compressible Navier-Stokes/Allen-Cahn System
This paper is concerned with the large time behavior of the Cauchy problem for Navier-Stokes/Allen-Cahn system describing the interface motion of...
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Separation of Variables
The basic idea of separation of variablesseparation of variables is somewhat similar to the method of reduction of a homogeneous ordinary...
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Tricomi Problem for Mixed Parabolic–Hyperbolic Equation with Higher Order Boundary Condition
In this paper, we study an analogue of Tricomi problem for a parabolic–hyperbolic equation. One boundary condition in the parabolic part of the...
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Separation of Variables
Covers separable equations and Newton’s equation, both of which are solved by quadratures. Includes the Kepler problem and an introduction to...
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Untangling the Molecular Interactions Underlying Intracellular Phase Separation Using Combined Global Sensitivity Analyses
Liquid-liquid phase separation is an intracellular mechanism by which molecules, usually proteins and RNAs, interact and then rapidly demix from the...
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The Asymptotic Stability of Phase Separation States for Compressible Immiscible Two-Phase Flow in 3D
This paper is concerned with a diffuse interface model called Navier-Stokes/Cahn-Hilliard system. This model is usually used to describe the motion...