Global well-posedness in the critical Besov space of the skew mean curvature flow in $mathbb{R}^d: dgeq 4$

Kavli Affiliate: Yi Zhou | First 5 Authors: Ning-An Lai, Jie Shao, Yi Zhou, , | Summary: In this paper, we are devoted to studying the global regularity for the skew mean curvature flow with small initial data in $mathbb{R}^d, (dgeq 4)$. By using a new div-curl lemma which was first introduced by the third […]


Continue.. Global well-posedness in the critical Besov space of the skew mean curvature flow in $mathbb{R}^d: dgeq 4$

Global well-posedness in the critical Besov space of the skew mean curvature flow in $mathbb{R}^d: dgeq 4$

Kavli Affiliate: Yi Zhou | First 5 Authors: Ning-An Lai, Jie Shao, Yi Zhou, , | Summary: In this paper, we are devoted to studying the global regularity for the skew mean curvature flow with small initial data in $mathbb{R}^d, (dgeq 4)$. By using a new div-curl lemma which was first introduced by the third […]


Continue.. Global well-posedness in the critical Besov space of the skew mean curvature flow in $mathbb{R}^d: dgeq 4$

Global well-posedness in the critical Besov space of the skew mean curvature flow in $mathbbR^d: dge 5$

Kavli Affiliate: Yi Zhou | First 5 Authors: Ning-An Lai, Ning-An Lai, , , | Summary: In this paper, we are devoted to studying the global regularity for the skew mean curvature flow with small initial data in $mathbbR^d, (dge 5)$. By using a new div-curl lemma which was first introduced by the third author […]


Continue.. Global well-posedness in the critical Besov space of the skew mean curvature flow in $mathbbR^d: dge 5$

Unconstrained Large-scale 3D Reconstruction and Rendering across Altitudes

Kavli Affiliate: Cheng Peng | First 5 Authors: Neil Joshi, Joshua Carney, Nathanael Kuo, Homer Li, Cheng Peng | Summary: Production of photorealistic, navigable 3D site models requires a large volume of carefully collected images that are often unavailable to first responders for disaster relief or law enforcement. Real-world challenges include limited numbers of images, […]


Continue.. Unconstrained Large-scale 3D Reconstruction and Rendering across Altitudes

NeuRel-Attack: Neuron Relearning for Safety Disalignment in Large Language Models

Kavli Affiliate: Yi Zhou | First 5 Authors: Yi Zhou, Wenpeng Xing, Dezhang Kong, Changting Lin, Meng Han | Summary: Safety alignment in large language models (LLMs) is achieved through fine-tuning mechanisms that regulate neuron activations to suppress harmful content. In this work, we propose a novel approach to induce disalignment by identifying and modifying […]


Continue.. NeuRel-Attack: Neuron Relearning for Safety Disalignment in Large Language Models

2D Active Brownian run-and-tumble particles moment analysis

Kavli Affiliate: Rudolf Podgornik | First 5 Authors: Aoran Sun, Da Wei, Yiyu Zhang, Fangfu Ye, Rudolf Podgornik | Summary: We study an active Brownian run-and-tumble particle (ABRTP) model, that consists of an active Brownian run state during which the active velocity of the particle diffuses on the unit circle, and a tumble state during […]


Continue.. 2D Active Brownian run-and-tumble particles moment analysis

Gyrotropic magnetic effect in metallic chiral magnets

Kavli Affiliate: Leon Balents | First 5 Authors: Nisarga Paul, Takamori Park, Jung Hoon Han, Leon Balents, | Summary: We study the gyrotropic magnetic effect (GME), the low-frequency limit of optical gyrotropy, in metals and semimetals coupled to chiral spin textures. In these systems, the chiral spin texture which lacks inversion symmetry can imprint itself […]


Continue.. Gyrotropic magnetic effect in metallic chiral magnets

Upscaling the Navier-Stokes-Cahn-Hilliard model for incompressible multiphase flow in inhomogeneous porous media

Kavli Affiliate: Cheng Peng | First 5 Authors: Chunhua Zhang, Peiyao Liu, Cheng Peng, Lian-Ping Wang, Zhaoli Guo | Summary: In this work, we present a macroscopic model for the flow of two immiscible and incompressible fluids in inhomogeneous porous medium. At the pore scale, the flow is governed by the fully Navier-Stokes equations while […]


Continue.. Upscaling the Navier-Stokes-Cahn-Hilliard model for incompressible multiphase flow in inhomogeneous porous media

Thirty-six officers, artisanally entangled

Kavli Affiliate: David Gross | First 5 Authors: David Gross, Paulina Goedicke, , , | Summary: A perfect tensor of order $d$ is a state of four $d$-level systems that is maximally entangled under any bipartition. These objects have attracted considerable attention in quantum information and many-body theory. Perfect tensors generalize the combinatorial notion of […]


Continue.. Thirty-six officers, artisanally entangled

Thirty-six officers, artisanally entangled

Kavli Affiliate: David Gross | First 5 Authors: David Gross, Paulina Goedicke, , , | Summary: A perfect tensor of order $d$ is a state of four $d$-level systems that is maximally entangled under any bipartition. These objects have attracted considerable attention in quantum information and many-body theory. Perfect tensors generalize the combinatorial notion of […]


Continue.. Thirty-six officers, artisanally entangled