Invitation to Geometric Analysis Seminar

The Geometric Analysis Seminar will take place on 31.3. at 10:40 in the lecture room K4.

Speaker:    Carlos Mora-Corral

Title: Existence of solutions in peridynamics and convergence to classical elasticity

Abstract: Peridynamics is a model in Solid Mechanics formulated by S. Silling in 2000. Its main difference with the usual Cauchy-Green elasticity relies in its non-locality, which reflects the fact that particles at a positive distance exert an interaction force upon each other. Mathematically, the deformations are not assumed to have weak derivatives, in contrast with hyperelasticity, where they are assumed to be Sobolev. In this talk we study the variational theory of time-independent problems in peridynamics. In this formulation, the energy of a deformation is expressed as a double integral, and resembles the energy functional of a nonlocal singular p-Laplacian. In particular, we will explain optimal conditions over the integrand guaranteeing that the energy admits a minimum, and, hence, that the problem has an equilibrium solution. Moreover, we will see how the Cauchy-Green elasticity theory can be recovered from this nonlocal theory as a Gamma-limit when the interaction distance tends to zero. 


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MathMAC seminar

Within the joined seminar of MathMAC and the ERC-centre MORE the following talks are held on Monday December 10, 2012 in K4 (Karlín):

  • 9:00 - Therese Mieth (Friedrich-Schiller Universität Jena):  Traces of weighted Besov spaces
  • 9:40 - Benjamin Scharf (Friedrich-Schiller Universität Jena):  Wavelets in function spaces on celular domains
Everybody is welcomed to join the seminar.

XII GAMM Workshop on Applied and Numerical Linear Algebra

with Special Emphasis on Adaptivity

September 2-5, 2012, Chateau Liblice, Czech Republic.

The longstanding tradition of GAMM Workshops on Applied and Numerical Linear Algebra will be continued 2012 at the conference centrum of Academy of Sciences of the Czech Republic in Chateau Liblice. The organizing committee is looking forward to meeting all interested scientists in Liblice.

The workshop is included in the list of accompanying events devoted to 60th anniversary of the Faculty of Mathematics and Physics, Charles University in Prague.

For details see: http://www.cs.cas.cz/gamm/


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Vědecká stipendia

Univerzitní centrum matematického modelování, aplikované analýzy a výpočtové matematiky MathMAC

vypisuje  5 - 7 vědeckých stipendií  pro studenty doktorského studia na období  1. 6. - 31. 12. 2012

Předpokládaná výše stipendia je 4 až 6 tisíc Kč měsíčně. V případě úspěšného průběhu bude zváženo prodloužení na delší časové období.

Předpoklady:

  • téma disertace blízké vědeckým záměrům MathMAC
  • aktivní přístup podporující spolupráci mezi matematickými obory
  • zájem o akce MathMAC

Životopis, seznam publikací a krátký motivační dopis (nejvýše 1 strana A4) zašlete do 31. 5. 2012 na adresu peskova@karlin.mff.cuni.cz


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Lecture 1 of the series “Senior researchers research topics”

Seminar MathMAC - V. Dolejší

  1. Analýza numerických metod pro řešení evolučních úloh konvekce-difuze s daty (dané vektorové pole difúze a pravá strana) v L^1 nebo dokonce v mírách.
  2. Analýza nespojité Galerkinovy metody v prosorech funkcí nezávislých na parametrech disckretizace, např. BV-prostory.
  3. Vývoj a analýza numerickcýh metod pro řešení hyperbolických rovnic v nekonzervativním tvaru.

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Seminar – Math MAC

Univerzitní centrum matematického modelování,

aplikované analýzy a výpočtové matematiky pořádá ve čtvrtek 5. dubna 2012, MFF UK, Sokolovská 83, místnost K3 seminář.

14:00 Martin Lanzendörfer: Hydrodynamic lubrication: A simple application and a lot of questions
14:20 Petr HonzíkOrthogonality in Lp spaces
14:40 Tomáš BártaNonconvolutionary integrodifferential equations
15:00 Václav VlasákSystems of compact sets in descriptive theory
15:20 Coffee break
15:40 Ondřej SoučekOn various modelling and computational issues in physical glaciology
16:00 Vít PrůšaContinuum mechanics – a playground for mathematics
16:20 Miloslav VlasákTime discontinuous Galerkin
16:40 Coffee break
17:00 Miroslav BulíčekThe key results obtained by using (not my) simple ideas
17:20 Ondřej KurkaAnalytic and coanalytic classes of Banach spaces
17:40 Václav KučeraHigher order numerical methods for convective problems

Now including the presentations.

Name Size Version Last Modification Date
Barta 402.33 KB   16 April 2012
Honzik 357.64 KB   16 April 2012
Kucera 621.09 KB   16 April 2012
Kurka 267.64 KB   16 April 2012
Lanzendorfer 1.18 MB   16 April 2012
Prusa 1.08 MB   16 April 2012
Soucek 7.42 MB   16 April 2012
Vlasak V 1.08 MB   16 April 2012
Bulicek 317.32 KB   16 April 2012
Vlasak M 471.41 KB   16 April 2012
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Challenges in analysis and modelling

The workshop Challenges in analysis and modelling is organized by the Mathematical Institute of Charles University, Department of Mathematical Modelling on the occasion of awarding Professor K. R. Rajagopal "Doctor Honoris Causa" by the Charles University in Prague.

The aim of the workshop is to present recent open and challenging topics in the field of modelling of complex materials and processes from the perspectives of both mathematical and numerical analysis, modelling and computation.

The workshop will take place in the building of Faculty of Mathematics and Physics (room K1), Sokolovská 83, Prague on Saturday, March 31, 2012.

The ceremony of awarding the honourable academic title "Doctor honoris causa" will take place in the seat of the Charles University in Prague,Karolinum, Velká aula, Ovocný trh 3, Prague on April 4, 2012 at 14:30. All are welcome.

Workshop webpage can be found here.

Leaflet: rajagopal-drhc.pdf


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