Publications related to Calculus of variations

Geometrical Effect in 2D Nanopores

Aleksandra Radenovic, Andras Kis, Duncan Thomas Lindsay Alexander, Vasiliki Tileli, Dumitru Dumcenco, Martina Lihter, Ke Liu, Davide Deiana, Aditya Sarathy

A long-standing problem in the application of solid-state nanopores is the lack of the precise control over the geometry of artificially formed pores compared to the well-defined geometry in their biological counterpart, that is, protein nanopores. To date ...

American Chemical Society2017

Numerical Analysis Of A Thermoelastic Diffusion Problem With Voids

Maria Masid Barcon

In this paper we consider, from the numerical point of view, a thermoelastic diffusion porous problem. This is written as a coupled system of two hyperbolic equations, for the displacement and porosity fields, and two parabolic equations, for the temperatu ...

Isci-Inst Scientific Computing & Information2017

Thermal spin torques in magnetic insulators

Yi Zhang, Jean-Philippe Ansermet, Sylvain Bréchet, Ping Che, Cheng Zhao, Haiming Yu, Sa Tu, Francesco Antonio Vetrò, Yao Zhang

The damping of spin waves transmitted through a two-port magnonic device implemented on a yttrium iron garnet thin film is shown to be proportional to the temperature gradient imposed on the device. The sign of the damping depends on the relative orientati ...

Amer Physical Soc2017

A single-phase, proximal path-following framework

Volkan Cevher, Quoc Tran Dinh, Anastasios Kyrillidis

We propose a new proximal, path-following framework for a class of---possibly non-smooth---constrained convex problems. We consider settings where the non-smooth part is endowed with a proximity operator, and the constraint set is equipped with a self-conc ...

INFORMS2017

Exterior Convexity And Classical Calculus Of Variations

Saugata Bandyopadhyay, Swarnendu Sil

We study the relation between various notions of exterior convexity introduced in [S. Bandyopadhyay, B. Dacorogna and S. Sil, J. Eur. Math. Soc. 17 (2015) 1009-1039.] with the classical notions of rank one convexity, quasiconvexity and polyconvexity. To th ...

Edp Sciences S A2016

A generalized mountain-pass theorem: the existence of multiple critical points

Hans-Jörg Ruppen

We analyse the existence of multiple critical points for an even functional J : H -> R in the following context: the Hilbert space H can be split into an orthogonal sum H = Y circle plus Z in such a way that inf{J(u) : u is an element of Z and parallel to ...

Springer Heidelberg2016

Methods and systems for skew tolerance in and advanced detectors for vector signaling codes for chip-to-chip communication

Mohammad Amin Shokrollahi, Anant Pratap Singh

Advanced detectors for vector signaling codes are disclosed which utilize multi-input comparators, generalized on-level slicing, reference generation based on maximum swing, and reference generation based on recent values. Vector signaling codes communicat ...

2016

Orlicz regularity of the gradient of solutions to quasilinear elliptic equations in the plane

Linda Maria De Cave

Given a planar domain Omega, we study the Dirichlet problem {-divA(x, del v) = f in Omega, v = 0 on partial derivative Omega, where the higher-order term is a quasilinear elliptic operator, and f belongs to the Zygmund space L(log L)delta(log log log L)(be ...

Springer International Publishing Ag2016

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Calculus of variations

Geometrical Effect in 2D Nanopores

Numerical Analysis Of A Thermoelastic Diffusion Problem With Voids

Thermal spin torques in magnetic insulators

A single-phase, proximal path-following framework

Non-convex, non-local functionals converging to the total variation

Calderón–Zygmund estimates and non-uniformly elliptic operators

Exterior Convexity And Classical Calculus Of Variations

A generalized mountain-pass theorem: the existence of multiple critical points

Methods and systems for skew tolerance in and advanced detectors for vector signaling codes for chip-to-chip communication

Orlicz regularity of the gradient of solutions to quasilinear elliptic equations in the plane

Graph Chatbot

Chat with Graph Search

Geometrical Effect in 2D Nanopores

Numerical Analysis Of A Thermoelastic Diffusion Problem With Voids

Thermal spin torques in magnetic insulators

A single-phase, proximal path-following framework

Non-convex, non-local functionals converging to the total variation

Calderón–Zygmund estimates and non-uniformly elliptic operators

Exterior Convexity And Classical Calculus Of Variations

Methods and systems for skew tolerance in and advanced detectors for vector signaling codes for chip-to-chip communication

Orlicz regularity of the gradient of solutions to quasilinear elliptic equations in the plane

A generalized mountain-pass theorem: the existence of multiple critical points