Found 1438 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

Torus-like solutions for the Landau-de Gennes model. Part I: the Lyuksyutov regime

Assuming smooth and uniaxial (e.g. homeotropic) boundary conditions and a corresponding physically relevant norm constraint (Lyuksyutov constraint) in the interior, we prove full regularity up to the boundary for the minimizers. Expand abstract.
21 days ago
4/10 relevant
arXiv

Inverse scattering transform for the Kundu-Eckhaus Equation with nonzero boundary condition

In this paper, we consider the initial value problem for both of the defocusing and focusing Kundu-Eckhaus (KE) equation with non-zero boundary conditions (NZBCs) at infinity by inverse scattering transform method. Expand abstract.
24 days ago
8/10 relevant
arXiv

Geometric Perturbation Theory and Acoustic Boundary Condition Dynamics

Geometric perturbation theory is universal. A typical example is provided by the 3D wave equation, widely used in acoustics. Expand abstract.
25 days ago
10/10 relevant
arXiv

Three-dimensional and four-dimensional scalar, vector, tensor cosmological fluctuations and the cosmological decomposition theorem

In cosmological perturbation theory it is convenient to use the scalar, vector, tensor (SVT) basis as defined according to how these components transform under 3-dimensional rotations. Expand abstract.
26 days ago
5/10 relevant
arXiv

Adapted or Adaptable: How to Manage Entropy Production?

We show that boundary conditions play a major role in defining operating points because they define the intensity of the feedback that ultimately characterizes the operation. Expand abstract.
28 days ago
5/10 relevant
Preprints.org

Convergence of simultaneous distributed-boundary parabolic optimal control problems

We consider a heat conduction problem $S$ with mixed boundary conditions in a n-dimensional domain $\Omega$ with regular boundary $\Gamma$ and a family of problems $S_{\alpha}$, where the parameter $\alpha>0$ is the heat transfer coefficient on the portion of the boundary $\Gamma_{1}$. Expand abstract.
29 days ago
4/10 relevant
arXiv

Generalized Elastodynamic Model for Nanophotonics

It is shown that the method converges to the local boundary conditions in the low spatial dispersion limit for insulators and conductors, quantified by means of a parameter defined as the "characteristic length". Expand abstract.
29 days ago
6/10 relevant
arXiv

Eliminating turbulent self-interaction through the parallel boundary condition in local gyrokinetic simulations

In this work, we highlight an issue that may reduce the accuracy of many local nonlinear gyrokinetic simulations - turbulent self-interaction through the parallel boundary condition. Expand abstract.
29 days ago
7/10 relevant
arXiv

Deformed Heisenberg charges in three-dimensional gravity

Such specific conformal boundary conditions define so-called Bryant surfaces, which can be classified completely in terms of holomorphic maps from Riemann surfaces into the spinor bundle. Expand abstract.
29 days ago
4/10 relevant
arXiv

On C^{1/2,1}, C^{1,2}, and C^{0,0} estimates for linear parabolic operators

We show that weak solutions to parabolic equations in divergence form with zero Dirichlet boundary conditions are continuously differentiable up to the boundary when the leading coefficients have Dini mean oscillation and the lower order coefficients verify certain conditions. Expand abstract.
30 days ago
4/10 relevant
arXiv