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

Viscous Evolution of Magnetized Clumps: a Source for X-ray Flares in Gamma-ray Bursts

Regarding various model parameters, we probe for their influence and proceed some key analogies between our model predictions and previous phenomenological estimates, for two different choices of boundary conditions (with and without a magnetic barrier). Expand abstract.
89 days ago
5/10 relevant
arXiv

The general fifth-order nonlinear Schr\"odinger equation with nonzero boundary conditions: Inverse scattering transform and multisoliton solutions

Under investigation in this work is the inverse scattering transform of the general fifth-order nonlinear Schr\"{o}dinger equation with nonzero boundary conditions (NZBCs), which can be reduced to several integrable equations. Expand abstract.
89 days ago
10/10 relevant
arXiv

Quantum-classical duality for Gaudin magnets with boundary

We establish a remarkable relationship between the quantum Gaudin models with boundary and the classical many-body integrable systems of Calogero-Moser type associated with the root systems of classical Lie algebras (B, C and D). Expand abstract.
90 days ago
5/10 relevant
arXiv

On a Babu\v{s}ka paradox for polyharmonic operators: spectral stability and boundary homogenization for intermediate problems

We analyse the spectral convergence of high order elliptic differential operators subject to singular domain perturbations and homogeneous boundary conditions of intermediate type. Expand abstract.
91 days ago
4/10 relevant
arXiv

The roles of random boundary conditions in spin systems

Random boundary conditions are one of the simplest realizations of quenched disorder. Expand abstract.
92 days ago
10/10 relevant
arXiv

Inverse scattering transform of an extended nonlinear Schr\"{o}dinger equation with nonzero boundary conditions and its multisoliton solutions

Firstly, a matrix Riemann-Hilbert problem for the equation with nonzero boundary conditions at infinity is systematically discussed. Expand abstract.
92 days ago
10/10 relevant
arXiv

Singular Contact Geometry and Beltrami Fields in Cholesteric Liquid Crystals

To connect the theory to experiment we also discuss normal and tangential boundary conditions for singular contact structures, and show we can realise all desired boundary conditions except for normal anchoring on a sphere, where a theorem of Eliashberg and Thurston provides an obstruction to having... Expand abstract.
94 days ago
4/10 relevant
arXiv

The p-Laplacian equation in a rough thin domain with terms concentrating on the boundary

In this work we use reiterated homogenization and unfolding operator approach to study the asymptotic behavior of the solutions of the $p$-Laplacian equation with Neumann boundary conditions set in a rough thin domain with concentrated terms on the boundary. Expand abstract.
94 days ago
5/10 relevant
arXiv

Boundary Triples and Weyl $m$-functions for Powers of the Jacobi Differential Operator

The abstract theory of boundary triples is applied to the classical Jacobi differential operator and its powers in order to obtain the Weyl $m$-function for several self-adjoint extensions with interesting boundary conditions: separated, periodic and those that yield the Friedrichs extension. Expand abstract.
95 days ago
4/10 relevant
arXiv

A Riemann-Hilbert approach to the modified Camassa-Holm equation with nonzero boundary conditions

In this case, the spectral problem for the associated Lax pair equation has a continuous spectrum, which allows formulating the inverse spectral problem as a Riemann-Hilbert factorization problem with jump conditions across the real axis. Expand abstract.
99 days ago
8/10 relevant
arXiv