We show that any C1+1,1+1/2(Q1) viscosity solution u to the fully nonlinear uniformly parabolic equation ut - F(D2u) = 0 must belong to C2+α,1+aα/2(Q1/2) and ut must belong to Cl+α,,1+α/2(Q1/2), if the equation has the Liouville property.
The relationships between G′ or G″ and frequency show that simulation spent acid(SSA) 0.1%HCl+5%VES+18.25%CaCl_2 possesses higher elasticity and viscosity than similar SSAs containing 0.01% or 1.0%HCl.
This paper considers the Cauchy problem for a nonstrictly hyperbolic systemu_t+1/2(3u~2+v~2)_x=0, v_t+(uv)_x=0 and gives the continuous solutions under some restrictions on the initial data by applying the method of vanishing viscosity.
The permeability coefficient, permeability model and strength damage model of cohesive soil were researched and problems in this field were determined in this thesis by comprehensively analysis of soil mass' permeability, constitutive relationship and strength damage characteristic based on microstructure theory, fractal geometry theory and damage mechanics.
Based on the known theoretical research at home and abroad, common theories of earth pressure and their adaptabilities are discussed in this paper, and emphases are put on the methods of earth pressure calculation and checking of strength and stability for retaining walls with balancing platform, especially under the condition of cohesive filling soil and over loading.
Furthermore, the intrinsic definition is just the (now) well-known Crandall-Lions viscosity solution, modified in a natural way to accommodate measurable coefficients.
We describe the main results obtained in a joint work with Athanasopoulos and Caffarelli on the regularity of viscosity solutions and of their free boundaries for a rather general class of parabolic phase transition problems.
The comparion principle for viscosity solutions is proved,the existence and uniqueness results are disscussed.
Compressible navier-stokes equations with density-dependent viscosity
The global existence of solutions to the equations of one-dimensional compressible flow with density-dependent viscosity is proved.
The mutant alleles of the gene cause abnormal meiotic chromosome structure expressed as irregular compaction along the chromosome length, chromatin stickiness at all stages of meiosis, and chromosome fragmentation in anaphase I.
Aqueous extracts induced breaks, stickiness, pole deviations and micronuclei.
Results indicated that the term 'stickiness', when used to label certain foods such as jelly bean and chocolate bar, should be used cautiously.
Several mechanisms contribute to the stickiness of dust particles within a filter cake: electrostatic and van der Waals attractions, and mechanical, liquid and solid bridging.
The size of the cores around the vortices is well approximated by the minimum inter-vortex distance and stickiness to these cores is observed.