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Pin(2)-Equivariance Property of the Rarita–Schwinger–Seiberg–Witten Equations
We define a variant of the Seiberg–Witten equations using the Rarita–Schwinger operators for a closed simply connected spin smooth 4-manifold X . The...
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New Einstein metrics on Sp(n) which are non-naturally reductive
We prove that there are at least two new non-naturally reductive Ad(Sp( l ) × Sp( k ) × Sp( k ) × Sp( k )) invariant Einstein metrics on Sp( l + 3 k ) ( k < l )....
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Modeling, or where do differential equations come from
Partial differential equations describe numerous phenomena in nature, technology, medicine, economics, ... In this first chapter we shall describe...
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The Adiabatic Limit of Fu—Yau Equations
In this paper, we consider the adiabatic limit of Fu—Yau equations on a product of two Calabi—Yau manifolds. We prove that the adiabatic limit of...
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Positive Solutions for Some Classes of Stationary Kirchhoff Equations
We investigate positive solutions of some classes of stationary Kirchhoff equations. The nonexistence, existence and multiplicity of solutions are...
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On Derivation of Equations of Gravitation from the Principle of Least Action, Relativistic Milne–McCrea Solutions, and Lagrange Points
AbstractEquations of gravitation in the form of Vlasov–Poisson relativistic equations with Lambda term are derived from the classical principle of...
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HOBi-CGSTAB and HOBi-CRSTAB methods for solving some tensor equations
Recently, solving tensor equations (or multilinear systems) has attracted a lot of attention. This paper investigates the tensor form of the...
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Legendrian Mean Curvature Flow in \(\eta \)-Einstein Sasakian Manifolds
Recently, there are a great deal of work done which connects the Legendrian isotopic problem with contact invariants. The isotopic problem of...
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Homoclinic Solutions for Partial Difference Equations with Mixed Nonlinearities
In this paper, we consider a class of partial difference equations with sign-changing mixed nonlinearities and unbounded potentials. Some sufficient...
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General Formulation and Basic Equations
In this chapter we present the proposed reformulation of Newton’s second law and a number of general results relating to this extension. Since the...
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Uniform-in-mass global existence for 4D Dirac–Klein–Gordon equations
We are interested in four-dimensional Dirac–Klein–Gordon equations, a fundamental model in particle physics. The main goal of this paper is to...
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The ADER Approach for Approximating Hyperbolic Equations to Very High Accuracy
Sixty years ago, Godunov introduced his method for solving the Euler equations of gas dynamics, thus creating the Godunov’s school of thought for the...
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Data Driven Stochastic Primitive Equations with Dynamic Modes Decomposition
As planetary flows are characterised by interaction of phenomenons in a huge range of scales, it is unaffordable today to resolve numerically the...
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On asymptotically almost periodic solutions to the Navier–Stokes equations in hyperbolic manifolds
In this paper, we study the forward asymptotically almost periodic (AAP-) mild solutions of Navier–Stokes equations on the real hyperbolic manifold
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Equations of Motion for Bodies of the Same Mass Uniformly Distributed Over a Circle with Regard for the Speed of Gravity
We study the problem of motion of an arbitrary finite set of points of the same mass uniformly distributed over a circle located on a fixed plane...