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On the Existence Theorem of a Three-Step Newton-Type Method Under Weak L-Average
In the present paper, we have studied the local convergence of a three-step Newton-type method for solving nonlinear equations in Banach spaces under...
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The Tapering Length of Needles in Martensite/Martensite Macrotwins
We study needle formation at martensite/martensite macro interfaces in shape-memory alloys. We characterize the scaling of the energy in terms of the...
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Global Regularity of Shear Thickening Stokes System with Dirichlet Boundary Condition on Non-smooth Domains
We study a shear thickening Stokes system in a non-smooth domain. Our purpose is to derive a Calderón–Zygmund type estimate of the gradient of a...
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Boyarsky–Meyers Estimate for Solutions to Zaremba Problem
The variational solution to the Zaremba problem for a divergent linear second order elliptic equation with measurable coefficients is considered. The...
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Large-scale Regularity of Nearly Incompressible Elasticity in Stochastic Homogenization
In this paper, we systematically study the regularity theory of the linear system of nearly incompressible elasticity. In the setting of stochastic...
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Flexibility of the Pressure Function
We study the flexibility of the pressure function of a continuous potential (observable) with respect to a parameter regarded as the inverse...
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Regularity of the Optimal Sets for a Class of Integral Shape Functionals
We prove the first regularity theorem for the free boundary of solutions to shape optimization problems involving integral functionals, for which the...
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Infinite-Dimensional Inverse Problems with Finite Measurements
We present a general framework to study uniqueness, stability and reconstruction for infinite-dimensional inverse problems when only a...
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Optimization Algorithms for Multi-species Spherical Spin Glasses
This paper develops approximate message passing algorithms to optimize multi-species spherical spin glasses. We first show how to efficiently achieve...
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Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media
Having in view a model proposed by Nield and Kuznetsov (Transp Porous Media 59:325–339, 2005; Transp Porous Media 96:495–499, 2013), we consider a...
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Exponential Decay and Regularity of Global Solutions for the 3D Navier–Stokes Equations Posed on Lipschitz and Smooth Domains
We study initial-boundary value problems for the 3D Navier–Stokes equations posed on bounded and unbounded parallelepipeds as well as on bounded and...
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Cut-and-paste for impulsive gravitational waves with \(\Lambda \): the mathematical analysis
Impulsive gravitational waves are theoretical models of short but violent bursts of gravitational radiation. They are commonly described by two...
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Magnetic Skyrmions Under Confinement
We present a variational treatment of confined magnetic skyrmions in a minimal micromagnetic model of ultrathin ferromagnetic films with interfacial...
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Dissipative Solutions to Compressible Navier–Stokes Equations with General Inflow–Outflow Data: Existence, Stability and Weak Strong Uniqueness
So far existence of dissipative weak solutions for the compressible Navier–Stokes equations (i.e. weak solutions satisfying the relative energy...
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Uniqueness of Positive Vorticity Solutions to the 2d Euler Equations on Singular Domains
We show that particle trajectories for positive vorticity solutions to the 2D Euler equations on fairly general bounded simply connected domains...
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A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations
We study the motion of charged liquid drop in three dimensions where the equations of motions are given by the Euler equations with free boundary...
