Results 51 to 57 of about 160 (57)

Some interesting class of integrable partial differential equation systems [PDF]

arXiv, 2015
We determine a considerable class of nonlinear partial differential equation systems which have global regular solutions. Uniqueness is not a direct general consequence of this method. The scheme can be applied to the incompressible Navier Stokes equation.
arxiv  

Consistency of minimizing movements with smooth mean curvature flow of droplets with prescribed contact-angle in $\mathbb R^3$ [PDF]

arXiv
In this paper we prove that in $\mathbb R^3$ the minimizing movement solutions for mean curvature motion of droplets, obtained in [Bellettini, Kholmatov: J. Math. Pure Appl. (2018)], coincide with the smooth mean curvature flow of droplets with a prescribed (possibly nonconstant) contact angle.
arxiv  

Simulation of settlement and bearing capacity of shallow foundations with soft particle code (SPARC) and FE. [PDF]

GEM, 2018
Schneider-Muntau B, Bathaeian I.
europepmc   +1 more source

A regularity theory for evolution equations with time-measurable pseudo-differential operators in weighted mixed-norm Sobolev-Lipschitz spaces [PDF]

arXiv
This paper investigates the existence, uniqueness, and regularity of solutions to evolution equations with time-measurable pseudo-differential operators in weighted mixed-norm Sobolev-Lipschitz spaces. We also explore trace embedding and continuity of solutions.
arxiv  

Regularity for solutions of non-uniformly elliptic equations in non-divergence form [PDF]

arXiv
We prove the Aleksandrov--Bakelman--Pucci estimate for non-uniformly elliptic equations in non-divergence form. Moreover, we investigate local behaviors of solutions of such equations by developing local boundedness and weak Harnack inequality. Here we impose an integrability assumption on ellipticity representing degeneracy or singularity, instead of ...
arxiv  

Simulation of shear bands with Soft PARticle Code (SPARC) and FE. [PDF]

GEM, 2017
Schneider-Muntau B, Chen CH, Bathaeian SMI.   +2 more
europepmc   +1 more source

Duplication and diversification of insulin genes in ray-finned fish. [PDF]

Zool Res, 2019
Irwin DM.
europepmc   +1 more source