Time: 1:40-2:40 pm Wednesdays
Room: PSA 306
(unless otherwise specified)

DATE

SPEAKER

TOPIC/ABSTRACT

September 12      

  F. Carreon (Math. & Stat., ASU)

         

Title: A geometrical method to study front propagation problems      

Abstract: A geometrical approach to analyze the asymptotic behavior of scaled reaction diffusion equations is discussed. A typical example of such equations are the scaled RDE of Allen-Cahn type, where a front moving by its mean curvature is generated as the scale parameter goes to zero. A weak formulation of motion of hypersurfaces with curvature dependent velocities is presented. This notion turns out to be equivalent to the level set formulation under the no fattening condition of the fronts.
   

September 19      

  F. Carreon (Math. & Stat., ASU)

         

Title: Singular limits of a RDE of KPP type in an infinite cylinder      

Abstract: The limit of a scaled reaction diffusion equation of KPP type on an infinite cylinder is analyzed using viscosity solution methods. We show that the solutions of the scaled equation converge locally uniformly to piecewise constant function that attains the two equilibria of the equation, as the scale parameter goes to zero. The regions where the solutions converge to each equilibrium state are characterized through the viscosity solution of a variational inequality. The coefficients of the variational inequality are obtained using concepts from homogenization of elliptic operators.
   

September 26      

  G. Chowell (ASU)

         

Title:      

Abstract:
   

October 17     

  S. Keraani (University of Rennes I, France)

         

Title: On the Global Existence for the Axisymmetric Euler System      

Abstract: We present a result of global well-posedness of the 3D axisymmetric Euler equations for initial data lying in some critical Besov spaces. For these initial data the Beale-Kato- Majda blowup criterion cannot be applied (to be precise, it is not known if it can be applied or not).
   

October 31     

  S. Ibrahim (Math. & Stat., ASU)

         

Title:      

Abstract:
   

November 7*(1:30-2:00 PM)     

  H. Heck (Technical University Darmstadt)

         

Title: Muckenhoupt weights and maximal regularity for parabolic problems       

Abstract:We describe the connection between maximal $L^p$-$L^q$ regularity for parabolic problems and estimates for the resolvent of the associated operator in weighted $L^p$ spaces. The weights used are exactly the Muckenhoupt class $A_p$.
   

November 7*(2:00-2:30)     

  M. Geissert (Technical University Darmstadt)

         

Title: The Navier-Stokes flow in the exterior of a rotating obstacle      

Abstract: We show the existence of local solutions to the Navier-Stokes flow in exterior rotating domains. In order to do so, we first transform the set of equations to a fixed domain. In this talk we present two different transformations leading to different problems and different notions of solutions (mild and strong solutions). Finally, we discuss whether the solutions coincide.
   

November 19 (joint with the Colloquium)     

  A. Eden

         

Title:      

Abstract:
   

December 5     

  A. Iosevich

         

Title:      

Abstract: