Estimate the solution

In this report, we examine the unsteady Stokes equations with nonhomogeneous boundary conditions. As an application of a Carleman estimate, we first establish log type stabilities for the solution of the equations from either an interior measurement of the velocity, or a boundary observation depending on the trace of the velocity and of the Cauchy stress tensor measurements on a part of the boundary.

16p vibecca 01-10-2024 3 2   Download

Unsaturated soil behaviors characterize the failure mechanisms of geotechnical infrastructures with transient seepage conditions. Therefore, an accurate estimate of the unsaturated groundwater flow is vital in improving hazard management and assessment. This study attempts to develop a numerical scheme for 2-D transient analysis under unsaturated conditions.

11p viyoko 20-09-2024 2 1   Download

The target of this project is to construct a general and feasible procedure to determine the acidic equilibrium constants in aqueous solution at 25oC from the data of the potentiometric titration process in a rapid, simple and effective way. Then it will be applied to estimate the equilibrium constants of some new acids.

27p tunelove 10-06-2021 12 4   Download

In this paper, source is considered as a single equivalent dipole and genetic algorithm, an efficient and robust optimization method, is proposed to estimate parameters of source. Some improvements are introduced to enhance performance of conventional genetic algorithm.

12p larachdumlanat127 20-12-2020 14 1   Download

In this paper, we will extend the result of Farina to the general case a0 and look for the effect of the degeneracy on the range of the exponent p on Liouville-type theorem. It seems that the presence of the weight term |x|a makes the problem more challenging. The main difficulty is that the Grushin operator is nonautonomous. This requires suitable scaled test functions in the integral estimate.

11p tamynhan9 02-12-2020 14 1   Download

This study develops unconditionally monotone finite-difference scheme of second-order of local approximation on uniform grids for the initial boundary problem value for the Gamma equation through the establishment of two-side estimates for the scheme’s solution.

8p tamynhan6 14-09-2020 17 2   Download

In this paper, we estimate the scale of time consumption of such calculation in comparison to that of time-independent calculation, and present our solution to the problem by using parallel computing as implementing both MPI and OpenMP to the calculation. We also discuss the possibility to exploit parallel computing with GPU in the near future, and the preliminary results of time-dependent spectral function.

8p tamynhan6 14-09-2020 12 2   Download

Estimating the economic and environmental efficiency as well as the factors affecting these efficiency indexes for the shrimp farming in coastal transforming areas. From which, policy makers can select the feasible models and appropriate solutions to improve economic efficiency and to minimize environmental pollution for coastal farmers.

37p kequaidan6 15-07-2020 25 2   Download

The evaporation of I2 was observed to follow primarily first order kinetics, depending on the I2 concentration. The evaporation rate constant increased rapidly with increase in temperature. The presence of Ie slightly reduced the evaporation rate of I2 by forming relatively stable I 3 . The effect of Cle at

7p minhxaminhyeu4 26-06-2019 14 2   Download

A Tactical plan and its implementation presented to the faculty of the office of the graduate school southern leyte state University table of contents sangguniang bayan members and SB staff, schedule of activities, estimated expenses of the project

46p nqkhai81 28-10-2017 53 4   Download

Research objectives: The general objective of this dissertation is to propose solutions to enhance the economic efficiency in rice production for farming households in Can Tho city using estimates on economic efficiency and its determinants; estimating the economic efficiency in rice production by farming households in Can Tho city.

27p change03 06-05-2016 58 2   Download

The existence problem is solved, and global pointwise estimates of solutions are obtained for quasilinear and Hessian equations of Lane-Emden type, including the following two model problems: −∆p u = uq + µ, Fk [−u] = uq + µ, u ≥ 0, on Rn , or on a bounded domain Ω ⊂ Rn . Here ∆p is the p-Laplacian defined by ∆p u = div ( u| u|p−2 ), and Fk [u] is the k-Hessian defined as the sum of k × k principal minors of the Hessian matrix D2 u (k = 1, 2, . . . ,...

58p dontetvui 17-01-2013 58 10   Download

In this paper, we prove global second derivative estimates for solutions of the Dirichlet problem for the Monge-Amp`re equation when the inhomogee neous term is only assumed to be H¨lder continuous. As a consequence of our o approach, we also establish the existence and uniqueness of globally smooth solutions to the second boundary value problem for the affine maximal surface equation and affine mean curvature equation.

38p dontetvui 17-01-2013 48 8   Download

Introduction The purpose of this paper is to prove optimal estimates for solutions of the Kohn-Laplacian for certain classes of model domains in several complex variables. This will be achieved by applying a type of singular integral operator whose novel features (related to product theory and flag kernels) differ essentially from the

66p noel_noel 17-01-2013 54 7   Download

This is the first in a series of papers in which we initiate the study of very rough solutions to the initial value problem for the Einstein-vacuum equations expressed relative to wave coordinates. By very rough we mean solutions which cannot be constructed by the classical techniques of energy estimates and Sobolev inequalities. Following [Kl-Ro] we develop new analytic methods based on Strichartz-type inequalities which result in a gain of half a derivative relative to the classical result. ...

52p noel_noel 17-01-2013 59 5   Download

This is the second in a series of three papers in which we initiate the study of very rough solutions to the initial value problem for the Einstein vacuum equations expressed relative to wave coordinates. By very rough we mean solutions which cannot be constructed by the classical techniques of energy estimates and Sobolev inequalities. In this paper we develop the geometric analysis of the Eikonal equation for microlocalized rough Einstein metrics. This is a crucial step in the derivation of the decay estimates needed in the first paper. ...

50p noel_noel 17-01-2013 53 5   Download

A MODIFIED QUASI-BOUNDARY VALUE METHOD FOR A CLASS OF ABSTRACT PARABOLIC ILL-POSED PROBLEMS M. DENCHE AND S. DJEZZAR Received 14 October 2004; Accepted 9 August 2005 We study a final value problem for first-order abstract differential equation with positive self-adjoint unbounded operator coefficient. This problem is ill-posed. Perturbing the final condition, we obtain an approximate nonlocal problem depending on a small parameter. We show that the approximate problems are well posed and that their solutions converge if and only if the original problem has a classical solution.

8p sting12 10-03-2012 71 4   Download

MULTIPLICITY RESULTS FOR A CLASS OF ASYMMETRIC WEAKLY COUPLED SYSTEMS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS FRANCESCA DALBONO AND P. J. MCKENNA Received 1 November 2004 We prove the existence and multiplicity of solutions to a two-point boundary value problem associated to a weakly coupled system of asymmetric second-order equations. Applying a classical change of variables, we transform the initial problem into an equivalent problem whose solutions can be characterized by their nodal properties.

23p sting12 10-03-2012 40 7   Download

ASYMPTOTIC ESTIMATES AND EXPONENTIAL STABILITY FOR HIGHER-ORDER MONOTONE DIFFERENCE EQUATIONS ´ EDUARDO LIZ AND MIHALY PITUK Received 21 May 2004 Asymptotic estimates are established for higher-order scalar difference equations and inequalities the right-hand sides of which generate a monotone system with respect to the discrete exponential ordering. It is shown that in some cases the exponential estimates can be replaced with a more precise limit relation.

15p sting12 10-03-2012 58 5   Download

PERIODIC SOLUTIONS OF A DISCRETE-TIME DIFFUSIVE SYSTEM GOVERNED BY BACKWARD DIFFERENCE EQUATIONS BINXIANG DAI AND JIEZHONG ZOU Received 22 November 2004 and in revised form 16 January 2005 A discrete-time delayed diffusion model governed by backward difference equations is investigated. By using the coincidence degree and the related continuation theorem as well as some priori estimates, easily verifiable sufficient criteria are established for the existence of positive periodic solutions. 1.

12p sting12 10-03-2012 47 7   Download