Browsing Linear and Non-Linear Waves by Title
Now showing items 47-66 of 120
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Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques
(2023-10-06)In this paper we are interested in the upper bound of the lifespan estimate for the compressible Euler system with time dependent damping and small initial perturbations. We employ some techniques from the blow-up study ... -
Lorentz estimates for asymptotically regular fully nonlinear parabolic equations
(2017-06-20)We prove a global Lorentz estimate of the Hessian of strong solutions to the Cauchy-Dirichlet problem for a class of fully nonlinear parabolic equations with asymptotically regular nonlinearity over a bounded $C^{1,1}$ ... -
Lorentz estimates for the gradient of weak solutions to elliptic obstacle problems with partially BMO coefficients
(2017)We prove global Lorentz estimates for variable power of the gradient of weak solution to linear elliptic obstacle problems with small partially BMO coefficients over a bounded nonsmooth domain. Here, we assume that the ... -
Magnetic domain-twin boundary interactions in Ni-Mn-Ga
(2020-04)The stress required for the propagation of twin boundaries in a sample with fine twins increases monotonically with ongoing deformation. In contrast, for samples with a single twin boundary, the stress exhibits a plateau ... -
Mean-field dynamics of the spin-magnetization coupling in ferromagnetic materials: Application to current-driven domain wall motions
(2015-12-31)In this paper, we present a mean-field model of the spin-magnetization coupling in ferromagnetic materials. The model includes non-isotropic diffusion for spin dynamics, which is crucial in capturing strong spin-magnetization ... -
Modeling cardiac structural heterogeneity via space-fractional differential equations
(2017)We discuss here the use of non-local models in space and fractional order operators in the characterisation of structural complexity and the modeling of propagation in heterogeneous biological tissues. In the specific, we ... -
Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications
(2017-07-18)Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonicity property of the function $x\mapsto I_{u}\left( x\right) I_{v}\left( x\right) /I_{\left( u+v\right) /2}\left( x\right) ... -
Numerical approximation of the fractional Laplacian on R using orthogonal families
(2020-12-01)In this paper, using well-known complex variable techniques, we compute explicitly, in terms of the F12 Gaussian hypergeometric function, the one-dimensional fractional Laplacian of the complex Higgins functions, the complex ... -
On the bound states of Schrödinger operators with $\delta$-interactions on conical surfaces
(2016-06-30)In dimension greater than or equal to three, we investigate the spectrum of a Schrödinger operator with a $\delta$-interaction supported on a cone whose cross section is the sphere of codimension two. After decomposing ... -
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols
(2022-12-25)In this article we consider direct and inverse problems for α-stable, elliptic nonlocal operators whose kernels are possibly only supported on cones and which satisfy the structural condition of directional antilocality ... -
On the energy of critical solutions of the binormal flow
(2020-07-02)The binormal flow is a model for the dynamics of a vortex filament in a 3-D inviscid incompressible fluid. The flow is also related with the classical continuous Heisenberg model in ferromagnetism, and the 1-D cubic ... -
On the energy of critical solutions of the binormal flow
(2019-07-20)The binormal flow is a model for the dynamics of a vortex filament in a 3-D inviscid incompressible fluid. The flow is also related with the classical continuous Heisen- berg model in ferromagnetism, and the 1-D cubic Schr ... -
On the Evolution of the Vortex Filament Equation for regular M-polygons with nonzero torsion
(2019-09-03)In this paper, we consider the evolution of the Vortex Filament equa- tion (VFE): Xt = Xs ∧ Xss, taking M-sided regular polygons with nonzero torsion as initial data. Us- ing algebraic techniques, backed by numerical ... -
On the existence of weak solutions for the 2D incompressible Euler equations with in-out flow and source and sink points
(2021)Well-posedness for the two dimensional Euler system with given initial vorticity is known since the works of Judoviˇc. In this paper we show existence of solutions in the case where we allowed the fluid to enter in and ... -
On the Hausdorff dimension of Riemann's non-differentiable function
(2021-01-01)Recent findings show that the classical Riemann's non-differentiable function has a physical and geometric nature as the irregular trajectory of a polygonal vortex filament driven by the binormal flow. In this article, we ... -
On the improvement of the Hardy inequality due to singular magnetic fields
(2020-09-01)We establish magnetic improvements upon the classical Hardy inequality for two specific choices of singular magnetic fields. First, we consider the Aharonov-Bohm field in all dimensions and establish a sharp Hardy-type ... -
On the improvement of the Hardy inequality due to singular magnetic fields
(2018-07-12)We establish magnetic improvements upon the classical Hardy inequality for two specific choices of singular magnetic fields. First, we consider the Aharonov-Bohm field in all dimensions and establish a sharp Hardy-type ... -
On the improvement of the Hardy inequality due to singular magnetic fields
(2018-07-12)We establish magnetic improvements upon the classical Hardy inequality for two specific choices of singular magnetic fields. First, we consider the Aharonov-Bohm field in all dimensions and establish a sharp Hardy-type ... -
On the one dimensional cubic NLS in a critical space
(2021)In this note we study the initial value problem in a critical space for the one dimensional Schr¨odinger equation with a cubic non-linearity and under some smallness conditions. In particular the initial data is given by ... -
On the regularity of solutions to the k-generalized korteweg-de vries equation
(2018-07)This work is concerned with special regularity properties of solutions to the k-generalized Korteweg-de Vries equation. In [Comm. Partial Differential Equations 40 (2015), 1336–1364] it was established that if the initial ...