Aida Sahmurova

Abstract parabolic problems with parameter and application

In this work, the uniform well-posedenes of singular perturbation problems for parameter dependent parabolic differential-operator equations is established. These problems occur in phytoremediation modelling.

Parabolic problems with parameter occurring in environmental engineering

In this work, the uniform well possedenes of initial value problems for parameter dependent parabolic differential operator equations are obtained. These problems occur in phytoremediation modelling.

Abstract elliptic operators appearing in atmospheric dispersion

In this paper, the boundary value problem for the differential-operator equation with principal variable coefficients is studied. Several conditions for the separability and regularity in abstract Lp-spaces are given. Moreover, sharp uniform estimates for the resolvent of the corresponding elliptic differential operator are shown. It is implies that this operator is positive and also is a generator of an analytic semigroup. Then the existence and uniqueness of maximal regular solution to nonlinear abstract parabolic problem is derived. In an application, maximal regularity properties of the abstract parabolic equation with variable coefficients and systems of parabolic equations are derived in mixed Lp-spaces.MSC:34G10, 34B10, 35J25.

Enteromorpha compressa macroalgae as biosorbent for heavy metal removal: a preliminary economical evaluation

AbstractIn this study, the feasibility of using Enteromorpha compressa macroalgae for developing a biosorbent for the use in metal removal from industrial wastewater was discussed in the light of economic models. The net present value and the internal rate of return were used to evaluate the economics of the process. It was concluded that supply to the market as a biosorbent of E. compressa creates an economic benefit to the producing institution.

Singular Degenerate Problems Occurring in Atmospheric Dispersion of Pollutants

The boundary value problems for singular degenerate linear and regular degenerate nonlinear differential-operator equations are studied. We prove the well-posedeness of the linear problem and optimal regularity result for the nonlinear problem which occur in fluid mechanics, environmental engineering and in the atmospheric dispersion of pollutants.

Correction: ‘Abstract elliptic operators appearing in atmospheric dispersion’ by Veli B Shakhmurov and Aida Sahmurova published in the journal of Boundary Value Problems, 2014, V. 2014: 43

*Correspondence: veli.sahmurov@okan.edu.tr 1Department of Mechanical Engineering, Okan University, Akfirat, Tuzla, Istanbul 34959, Turkey 2Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan Full list of author information is available at the end of the article Correction Errata of paper []. In Theorems . and . it should saym = , i.e., these theorems should read as follows.

Singular degenerate problems occurring in biosorption process

The boundary value problems for singular degenerate arbitrary order differential-operator equations with variable coefficients are considered. The uniform coercivity properties of ordinary and partial differential equations with small parameters are derived in abstract Lp spaces. It is shown that corresponding differential operators are positive and also are generators of analytic semigroups. In application, well-posedeness of the Cauchy problem for an abstract parabolic equation and systems of parabolic equations are studied in mixed Lp spaces. These problems occur in fluid mechanics and environmental engineering.MSC:34G10, 35J25, 35J70.

Separable convolution equations occurring in atmospheric dispersion of pollutants

In this paper, the separability properties for abstract convolution-elliptic equations are investigated. These results applied to establish the maximal regularity for the Cauchy problem for abstract parabolic equation in mixed Lp norms, boundary value problems for finite and infinite systems of elliptic integro-differential equations with parameters which aries in environmental engineering problems.

Parabolic problems with parameters arising in evolution model for phytromediation

The past few decades, efforts have been made to clean sites polluted by heavy metals as chromium. One of the new innovative methods of eradicating metals from soil is phytoremediation. This uses plants to pull metals from the soil through the roots. This work develops a system of differential equations with parameters to model the plant metal interaction of phytoremediation (see [1]).

Degenerate Anisotropic Parabolic Problems Occurring in Atmospheric Dispersion of Pollutants

In the present paper the boundary value problems for degenerate anisotropic differential operator equations with variable coefficients are studied. Several conditions for the separability and Fredholmness in Banach‐valued Lp‐spaces are given. Sharp estimates for resolvent, of the corresponding differential operators are obtained. By using these results the existence, uniqueness and the maximal regularity of boundary value problems for parabolic differential‐operator equations are established. In applications mixed boundary value problems for diffusion systems, appearing in the atmospheric dispersion of pollutants are studied.