Wednesday, 23 November, 3—5:30, Imperial College London
Room Clore Lecture Theatre
·
Coffee break
Thursday, 24 November, 3—5:30, Imperial College London
Room 342
·
Coffee break
Friday, 25 November, 1—4:30pm, Imperial College London
Room 342
·
13:00-13:40 Emmanuel Essel (African Institute for Mathematical Sciences, Ghana) Reiterated homogenization applied in hydrodynamic lubrication
·
Coffee break
Monday, 28 November, 3—4pm, Imperial College London
Room 341
·
15:00-15:40
Bakhtiyer Kadyrkulov (Tashkent State University for Oriental
Studies, Uzbekistan) On solvability of a nonlocal problem for the
Laplace equation with the fractional-order boundary operator
·
Coffee break
Tsegaye Gedif Ayele (Addis Ababa University, Ethiopia) Analysis of two-operator
boundary-domain integral equations for variable-coefficient mixed BVP
Abstract. Applying the two-operator approach, the mixed (Dirichlet-Neumann) boundary value problem for a
second-order scalar elliptic differential equation with variable coeffcient is reduced to several systems of Boundary Domain
Integral Equations, briefly BDIEs. The two-operator BDIE system equivalence to
the boundary value problem, BDIE solvability and invertibility
of the boundary-domain integral operators are proved in the appropriate Sobolev spaces.
Emmanuel Essel (African
Institute for Mathematical Sciences, Ghana)
Reiterated homogenization applied
in hydrodynamic lubrication
Abstract. This work is devoted to studying the combined effect
that arises due to surface texture and surface roughness in hydrodynamic
lubrication. An effective approach in tackling this problem is by using the
theory of reiterated homogenization with three scales. In the numerical
analysis of such problems, a very fine mesh is needed, suggesting some type of
averaging. To this end, a general class of problems is studied that, e.g.
includes the incompressible Reynolds problem in both Cartesian and cylindrical
coordinate forms. To demonstrate the effectiveness of the method several
numerical results are presented that clearly show the convergence of the
deterministic solutions towards the homogenized solution. Moreover, the
convergence of the friction force and the load-carrying capacity of the
lubricant film is also addressed in this paper. In conclusion,
reiterated homogenization is a feasible mathematical tool that facilitates the
analysis of this type of problem.
Mariano Rodriguez
(University of Havana, Cuba) “Strong" Turing-Hopf instability
for reaction-diffusion systems
Abstract. Turing instabilities and Hopf bifurcations often arise in mathematical models in a
wide range of processes from developmental biology, ecology, chemistry, and
technology. Introducing the concept of "Strong" Turing-Hopf instability for reaction-diffusion systems near a codimension two bifurcation point we pretend to model
twinkling patterns. We focus on a normal mode approach for the study of
diffusive instability, but in this case with reference to the instability of
the stable limit cycle which emerges in a supercritical Hopf
bifurcation. Some open questions.
Erkinjon Karimov (National
University of Uzbekistan, Uzbekistan)
Inverse-source non-local problem for
mixed type equation with Caputo fractional differential operator
Abstract. In the present talk, we discuss a unique solvability
of an inverse-source problem with integral transmitting condition for
time-fractional mixed type equation in a rectangular domain, where the unknown
source term depends on space variable only. The method of solution based on a
series expansion using bi-orthogonal basis of space corresponding to a nonself-adjoint boundary value problem. Under
certain regularity conditions on the given data, we prove a
uniqueness and existence of the solution for the given problem. Influence of
transmitting condition on the solvability of the problem is shown as
well. Precisely, two different cases were considered; a case of full integral
form ($0<\gamma<1$) and a special case ($\gamma=1$) of transmitting condition. In order to
simplify the bulky expressions appearing in the proof of the main result, we
have established a new property of the recently introduced Mittag-Leffler
type function of two variables.
Stevan Pilipovic (University of Novi Sad, Serbia) Holder and Besov type regularities in Colombeau
algebras of generalized functions
Abstract. Colombeau generalized functions contain distributions and all
its subspaces. Every distribution is represented by a suitable regularized net consistinig of smooth functions parametrized
by a parameter. Growth order with respect to the parameter
determine essential properties of an embedded distributiion.
In several papers we are studying embedded spaces of classical function spaces
as Sobolev, Zigmund and Besov type spaces. This talk is devoted to the Tauberian type result with respect to regularization: To
which space belongs an embedded distribution with respect to growth order with
respect to the parameter? Joint work with jasson
Vindas and Dimitris Scarpalezos.
Fikret Aliev (Institute of
Applied Mathematics, Azerbaijan) Asymptotical methods for solutions of some
identification problems
Abstract. The dynamic system, when the motion of the object is described by the
system of nonlinear ordinary differential equations is considered. The right
part of the system involves the phase coordinates as a
unknown constant vector-parameter and a small number. The statistical data are
taken from practice: the initial and final values of the object
coordinates. Using the method of quasilinearization
the given equation is reduced to the system of linear differential equations,
where the coefficients of the coordinate and unknown parameter, also of the
perturbations depend on a small parameter linearly.Then, by using the least-squares method the
unknown constant vector-parameter is searched in the form of power series
on a small parameter and for the coefficients of zero and the first orders the
analytical formulas are given. The fundamental matrices both in a zero
and in the first approaching are constructed
approximately, by means of the ordinary Euler method. On an example of
determination of the coefficient of hydraulic resistance (CHR) in the lift in
the oil extraction by gas lift method is illustrated, as the obtained results
in the first approaching coincides with
well-known results on 10-2 order.
Fikret Aliev (Institute of
Applied Mathematics, Azerbaijan) A method to determine the coefficient of
hydraulic resistance in different areas of pump-compressor pipes
Abstract. In the work was consider mathematic model for defining hydraulic resistence coefficient in
the various part of the pump-compressor pipes in the oil wells operated
by gaslift method. The multiparameter
optimization problem by input-output parameters of the model was solved.
Bakhtiyer Kadyrkulov (Tashkent State University for Oriental
Studies, Uzbekistan) On
solvability of a nonlocal problem for the Laplace equation with the fractional-order
boundary operator
Abstract.
We study an elliptic equation in a
regular domain with a condition on the boundary involving a generalized
Riemann-Liouville derivative of fractional order. The
Bitsadze-Samarskii type problem is formulated for
that equation. The uniqueness is proved by the maximum principle for harmonic
functions. The Poisson kernel of the Dirichlet
problem for the Laplace equation is used for proving the existence of a
solution for the formulated problem.
For further information please contact Michael Ruzhansky at this e-mail address
Suggestion of hotels
in the area (Earl’s Court Station, 15 mins walk to Imperial College)
Merlyn Court Hotel
Maranton House Hotel
Barkston Gardens
City Hotel Kensington
For other hotels see here