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Weekly research seminar
Organizers
- prof. dr hab. Grzegorz Łukaszewicz
Information
Thursdays, 12:30 p.m. , room: 5070Research fields
List of talks
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Dec. 1, 2016, 12:30 p.m.
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Seminarium ZRFM w dniu 1 grudnia nie odbędzie się.
Uczestników seminarium zapraszam serdecznie 30 listopada na godz. 15.15 do IM PANu (s.321) na "podwójne" seminarium Agnieszki Świerczewskiej-Gwiazdy i Piotra Gwiazdy o równaniu Eulera w hydrodynamice, pt.Mathematical scandal -- Euler equations.In the recent years a …
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Dec. 1, 2016, 12:30 p.m.
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Seminarium ZRFM w dniu 1 grudnia nie odbędzie się.
Uczestników seminarium zapraszam serdecznie 30 listopada na godz. 15.15 do IM PANu (s.321) na "podwójne" seminarium Agnieszki Świerczewskiej-Gwiazdy i Piotra Gwiazdy o równaniu Eulera w hydrodynamice, pt.Mathematical scandal -- Euler equations.In the recent years a …
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Nov. 24, 2016, 12:30 p.m.
Wojciech Górny
Istnienie rozwiązań dla problemu najmniejszego gradientu
W problemie najmniejszego gradientu od dwudziestu lat znane są wyniki dotyczące istnienia i jednoznaczności rozwiązania w ściśle wypukłym obszarze dla ciągłych danych brzegowych. Okazuje się, że na płaszczyźnie możliwe jest pokazanie istnienia rozwiązania przy mniej …
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Nov. 17, 2016, 12:30 p.m.
Piotr Kalita (Uniwersytet Jagielloński)
Continuity of attractors for a non-autonomous singularly perturbed hyperbolic equation.
We study the non-autonomous dynamical system given by hyperbolic equation on a bounded domain $\Omega\subset\mathbb{R}^3$ $$ \epsilon u_{tt}+u_t-\Delta u=f_\epsilon(t,u). $$ This dynamical system has uniform, pullback, and cocycle attractors. For $\epsilon=0$ the limit parabolic equation …
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Nov. 3, 2016, 12:30 p.m.
Tomasz Piasecki
On the steady flow of reactive gaseous mixture
I am going to talk about a system of equations describing stationary flow of chemically reactive gaseous mixture, which consist in stationary compressible Navier-Stokes-Fourier system coupled with equations describing evolution of fractional masses. I will …
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Oct. 27, 2016, 12:30 p.m.
Mikołaj Sierżęga
Blow-up patterns for the Fujita equation
The Fujita equation (a semilinear heat equation with a power type nonlinearity) is among the simplest and the most thoroughly studied non-linear parabolic PDEs. Put forward in the sixties, it has been a canonical case …
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Oct. 20, 2016, 12:30 p.m.
Raj Narayan Dhara (UW)
Existence and regularity theory in weighted Sobolev spaces and applications
My emphasis in this thesis is to contribute to the solvability and uniqueness of solutions to the nonhomogenous boundary value problems of elliptic type, dealing with degenerate PDEs. My aim is to consider possibly general …
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Oct. 13, 2016, 12:30 p.m.
Prof. Dariusz Wrzosek
Cross-diffusion effects in extended Lotka-Volterra system describing interspecies competition
The classical Lotka-Volterra o.d.e. system describing interspecies competition with bilinear nonlinearities is fully understood. We propose an extension of the model which accounts for the random dispersal of individuals and for their capability to avoid …
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Oct. 6, 2016, 12:30 p.m.
Grzegorz Łukaszewicz
Heat convection in polar fluids
The main questions we consider concern the role the microstructure plays in the heat distribution in a fluid and the stability of the fluid flow
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June 2, 2016, 12:30 p.m.
Miroslav Bulicek (Charles University)
Nonlinear ellitpic equations beyond the natural duality pairing
Many real-world problems are described by nonlinear partial differential equations. A promiment example of such equations is nonlinear (quasilinear) elliptic system with given right hand side in divergence form div f data. In case data …
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May 19, 2016, 12:30 p.m.
Martin Kalousek (Charles University in Prague)
Homogenization of strongly nonlinear equations.
I plan to present the homoganization process for families of strongly nonlinear elliptic equations using the two-scale convergence method.
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May 12, 2016, 12:30 p.m.
Prof. Gopala Krishna Srinivasan (âIndian Institute of Technology, Bombay)
"The Gamma Function: An Eclectic Tour"
The Gamma function was introduced into analysis in 1729 by L. Euler in a letter to Goldbach. It has since then attracted the attention of the great masters of the 19th century such as Legengre, …
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May 5, 2016, 12:30 p.m.
Raj Narayan Dhara (UW)
New interpretation of the boundary condition for functions in weighted Sobolev spaces.
We discuss certain new interpretation of the boundary condition for functions in weighted Sobolev space when trace embedding theorems are not known. Moreover, we will apply it to uniqueness of solutions for degenerated elliptic PDEs …
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April 28, 2016, 12:30 p.m.
Agnieszka Kałamajska (WMIM)
Mocno nieliniowe nierówności multyplikatywne i ich zastosowania do nieliniowych singularnych równań różniczkowych zwyczajnych.
