Found 1550 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

A Liouville theorem for fully nonlinear problems with infinite boundary conditions and applications

We then apply the result in order to obtain gradient boundary blow up rates for ergodic functions in bounded domains related to degenerate/singular operators, and, as a further consequence, we deduce the uniqueness of the ergodic functions. Expand abstract.
110 days ago
9/10 relevant
arXiv

Boundary conditions for dynamic wetting -- A mathematical analysis

The basic idea is that the boundary conditions have to be compatible at the contact line in order to allow for regular solutions. Expand abstract.
110 days ago
10/10 relevant
arXiv

Riemann-Hilbert approach and soliton solutions for the higher-order dispersive nonlinear Schr\"{o}dinger equation with nonzero boundary conditions

In this work, the higher-order dispersive nonlinear Schr\"{o}dinger equation with non-zero boundary conditions at infinity is investigated including the simple and double zeros of the scattering coefficients. Expand abstract.
111 days ago
9/10 relevant
arXiv

Annihilation-to-nothing: a quantum gravitational boundary condition for the Schwarzschild black hole

Adopting the second interpretation could also shed some light on the information loss paradox: as time goes on, probabilities for histories that include black holes and singularities decay to zero and eventually only trivial geometries will dominate. Expand abstract.
111 days ago
5/10 relevant
arXiv

The nature of mean-field generation in three classes of optimal dynamos

When the mean magnetic field satisfies homogeneous boundary conditions (where the magnetic field is tangential to the boundary), mean-field dynamo action is found for one-dimensional averages, but not for planar averages. Expand abstract.
111 days ago
5/10 relevant
arXiv

Concentrated reaction terms on the boundary of rough domains for a quasilinear equation

In this work we analyze the solutions of a $p$-Laplacian equation with homogeneous Neumann boundary conditions set in a family of rough domains with a nonlinear term concentrated on the boundary. Expand abstract.
112 days ago
8/10 relevant
arXiv

Riemann-Hilbert approach for the NLSLab equation with nonzero boundary conditions

We consider the inverse scattering transform for the nonlinear Schr\"{o}dinger equation in laboratory coordinates (NLSLab equation) with nonzero boundary conditions (NZBCs) at infinity. Expand abstract.
114 days ago
10/10 relevant
arXiv

Cut Bogner-Fox-Schmit Elements for Plates

We present and analyze a method for thin plates based on cut Bogner-Fox-Schmit elements, which are $C^1$ elements obtained by taking tensor products of Hermite splines. Expand abstract.
115 days ago
4/10 relevant
arXiv

Boundary Conditions and the q-state Potts model on Random Planar Maps

We extend a recent analysis of the $q$-states Potts model on an ensemble of random planar graphs with $p\leqslant q$ allowed, equally weighted, spins on a connected boundary. Expand abstract.
115 days ago
8/10 relevant
arXiv

Non-standard anomalous heat conduction in harmonic chains with correlated isotopic disorder

We address the general problem of heat conduction in one dimensional harmonic chain, with correlated isotopic disorder, attached at its ends to white noise or oscillator heat baths. Expand abstract.
115 days ago
5/10 relevant
arXiv