Results 61 to 70 of about 283,896 (317)

Diffusion Convection Equation with Variable Nonlinearities

Journal of Function Spaces, 2017
The paper studies diffusion convection equation with variable nonlinearities and degeneracy on the boundary. Unlike the usual Dirichlet boundary value, only a partial boundary value condition is imposed.
Huashui Zhan
doaj   +1 more source

Existence of nontrivial weak solutions for nonuniformly elliptic equation with mixed boundary condition in a variable exponent Sobolev space

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In In this paper, we consider a mixed boundary value problem for nonuniformly elliptic equation in a variable exponent Sobolev space containing $p(\cdot)$-Laplacian and mean curvature operator.
Junichi Aramaki
doaj   +1 more source

On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity [PDF]

, 2011
In this short note, we study the local well-posedness of a 3D model for incompressible Navier-Stokes equations with partial viscosity. This model was originally proposed by Hou-Lei in \cite{HouLei09a}.
Hou, Thomas Y., Shi, Zuoqiang, Wang, Shu
core   +1 more source

The Dirichlet-to-Robin Transform

, 2004
A simple transformation converts a solution of a partial differential equation with a Dirichlet boundary condition to a function satisfying a Robin (generalized Neumann) condition.
Abramowitz M, Akhiezer N I, Branson T P, Bryan G H, Carslaw H S, Chen G, de Albuquerque L C, Dowker J S, Estrada R, Estrada R Fulling S A, Fulling S A, Fulling S A, Fulling S A, Fulling S A, Gradshteyn I S, Helson H, J D Bondurant, Kirsten K, Romeo A, S A Fulling, Sieber M, Sieber M, Stakgold I, Tikhonov A N, Tychonov A N, Wolfram S   +25 more
core   +1 more source

In Vivo Skin 3‐D Surface Reconstruction and Wrinkle Depth Estimation Using Handheld High Resolution Tactile Sensing

Advanced Healthcare Materials, EarlyView.
A compact handheld GelSight probe reconstructs in vivo 3‐D skin topography with micron‐level precision using a custom elastic gel and a learning‐based surface normal to height map pipeline. The device quantifies wrinkle depth across various body locations and detects changes in wrinkle depth following moisturizer application.
Akhil Padmanabha, Arpit Agarwal, Catherine Li, Austin Williams, Dinesh K. Patel, Sankalp Chopkar, Achu Wilson, Ahmet Ozkan, Wenzhen Yuan, Sonal Choudhary, Arash Mostaghimi, Zackory Erickson, Carmel Majidi   +12 more
wiley   +1 more source

Homogenization of the planar waveguide with frequently alternating boundary conditions

, 2009
We consider Laplacian in a planar strip with Dirichlet boundary condition on the upper boundary and with frequent alternation boundary condition on the lower boundary.
Borisov D, Borisov D, Borisov D, Borisov D I, Brillard A, Chechkin G A, D Borisov, Damlamian A, Davies E B, Exner P, G Cardone, Gadyl'shin R R, Kuchment P, Ladyzhenskaya O A, Ladyzhenskaya O A, Olejnik O A, Reed M, Reed M, Zhikov V V   +18 more
core   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

Advanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 more
wiley   +1 more source

On the Green function of linear evolution equations for a region with a boundary

, 2000
We derive a closed-form expression for the Green function of linear evolution equations with the Dirichlet boundary condition for an arbitrary region, based on the singular perturbation approach to boundary problems.Comment: 9 ...
Albeverio S, Berry M V, de Kronig L, Feynmann R, Fisher W, Gel'fand I M, George Krylov, Grosche C, Grosche C, Grosche C, Grosche C, Grosche C, Jakiw R, Kleinert H, Krylov G, Li Baowen, Marko Robnik, Morse P M, Prodan E, Watson G N   +19 more
core   +1 more source

A Stochastic Conservation Law with Nonhomogeneous Dirichlet Boundary Conditions [PDF]

Acta Mathematica Vietnamica, 2015
This paper discusses the initial-boundary value problem (with a nonhomogeneous boundary condition) for a multi-dimensional scalar first-order conservation law with a multiplicative noise. One introduces a notion of kinetic formulations in which the kinetic defect measures on the boundary of a domain are truncated.
Kobayasi, Kazuo, Noboriguchi, Dai
openaire   +3 more sources

Modeling and Improving Geometric Accuracy in Projection Multiphoton Lithography

Advanced Optical Materials, EarlyView.
A numerical framework describing the optical and photochemical processes is developed to elucidate the origins of geometric deviations in projection multiphoton lithography. The results indicate that oxygen diffusion and inhibition, and DMD diffraction, lead to geometric distortions.
Anwarul Islam Akash, Jason E. Johnson, Xianfan Xu   +2 more
wiley   +1 more source