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Existence of solutions for a higher order non-local equation appearing in crack dynamics
Hydraulic fractures Higher order equation Non-local equation Thin film equation Non-negative solutions periodic Hilbert transform
2015/10/15
In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures. The equation is similar to th...
EXISTENCE AND ASYMPTOTICS OF FRONTS IN NON LOCAL COMBUSTION MODELS
EXISTENCE ASYMPTOTICS NON LOCAL COMBUSTION MODELS
2015/10/15
We prove the existence and give the asymptotic behavior of non local fronts in homogeneous media.
CYCLES WITH LOCAL COEFFICIENTS FOR ORTHOGONAL GROUPS AND VECTOR-VALUED SIEGEL MODULAR FORMS
CYCLES WITH LOCAL COEFFICIENTS ORTHOGONAL GROUPS VECTOR-VALUED SIEGEL MODULAR FORMS
2015/10/14
The purpose of this paper is to generalize the relation between intersection numbers of cycles in locally symmetric spaces of orthogonal type and Fourier coefficients of Siegel modular forms to the ca...
DISTRIBUTIONS WITH SINGULARITIES:Punctual and Local Study
DISTRIBUTIONS WITH SINGULARITIES Punctual and Local Study
2015/9/29
DISTRIBUTIONS WITH SINGULARITIES:Punctual and Local Study.
LOCAL-TO-GLOBAL PRINCIPLES FOR THE HITTING SEQUENCE OF A ROTOR WALK
LOCAL-TO-GLOBAL PRINCIPLES HITTING SEQUENCE ROTOR WALK
2015/8/14
In rotor walk on a finite directed graph, the exits from each vertex follow a prescribed periodic sequence. Here we consider the case of rotor walk where a particle starts from a designated source ver...
Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation
Electronic structure Kohn–Sham density functional theory Discontinuous Galerkin Adaptive local basis set Enrichment functions Eigenvalue problem
2015/7/14
Kohn–Sham density functional theory is one of the most widely used electronic structure theories. In the pseudopotential framework, uniform discretization of the Kohn–Sham Hamiltonian generally result...
Optimized local basis set for Kohn–Sham density functional theory
Electronic structure Kohn–Sham density functional theory Optimized local basis set Discontinuous Galerkin Trace minimization Molecular dynamics Pulay force GMRES Preconditioning
2015/7/14
We develop a technique for generating a set of optimized local basis functions to solve models in the Kohn–Sham density functional theory for both insulating and metallic systems. The optimized local ...
FAST DIRECTIONAL COMPUTATION OF HIGH FREQUENCY BOUNDARY INTEGRALS VIA LOCAL FFTs
boundary integral method scattering high frequency waves directional algorithm low-rank approximation Chebyshev interpolation fast Fourier transforms
2015/7/14
The boundary integral method is an efficient approach for solving time-harmonic acoustic obstacle scattering problems. The main computational task is the evaluation of an oscillatory boundary integral...
The non-local Fisher-KPP equation:traveling waves and steady states
non-local Fisher-KPP equation traveling waves steady states
2015/7/14
We consider the Fisher-KPP equation with a nonlocal saturation effect defined through an interaction kernel φ(x) and investigate the possible differences with the standard Fisher-KPP equation. Our fir...
Local Coordinates on Formal Path.
Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities
Free boundary problems of the Euler equation local well-posedness hydrodynamical instabilities
2015/4/3
Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities.
A local mountain pass type result for a system of nonlinear Schrodinger equations
local mountain pass type nonlinear Schrodinger equations
2015/4/3
A local mountain pass type result for a system of nonlinear Schrodinger equations.
Local and nonlocal pressure Hessian effects in real and synthetic fluid turbulence
pressure Hessian effects real synthetic fluid turbulence
2011/7/7
The Lagrangian dynamics of the velocity gradient tensor A in isotropic and homogeneous turbulence depend on the joint action of the self-streching term and the pressure Hessian. Existing closures for ...
Real harmonizable multifractional stable process and its local properties
Stable process harmonizable process multifractionality
2011/1/17
A real harmonizable multifractional stable process is defined, its H¨older continuity and localizability are proved. The existence of local time is shown and its regularity is established.
Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
Intrinsic metrics non-local symmetric Dirichlet applications spectral theory
2011/2/25
We present a study of what may be called an intrinsic metric for a general regular Dirichlet form. For such forms we then prove a Rademacher type theorem.