http://www-math.umd.edu/research/seminars.html http://www-math.umd.edu/research/seminars.html Mon, 09 Sep 2024 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: () -

]]> http://www-math.umd.edu/research/seminars.html Mon, 16 Sep 2024 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Dave Levermore (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 23 Sep 2024 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Dave Levermore (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 30 Sep 2024 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Jeffrey Kuan (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 21 Oct 2024 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Stuart Antman (UMD) -
Abstract:

]]> http://www-math.umd.edu/research/seminars.html Mon, 28 Oct 2024 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Andrew Lawrie (UMD) -
Abstract: I will present an introduction to some of my work with Jacek Jendrej. We study classical scalar fields in dimension 1+1 with a symmetric double-well self-interaction potential. Examples of such equations are the phi-4 model and the sine-Gordon equation. These nonlinear wave equations admit non-trivial static solutions called kinks and antikinks, which are amongst the simplest examples of topological solitons. We define an n-kink cluster to be a solution approaching, for large positive times, a superposition of n alternating kinks and antikinks whose velocities converge to zero and mutual distances grow to infinity. Our main result is a determination of the leading order asymptotic behavior of any n-kink cluster. We use this information to construct the n-dimensional invariant manifold of n-kink clusters, which plays the dynamical role of the stable/unstable manifold for an ideal "critical point at infinity” given by well separated multi-kink configurations. In this context we also explain the role of kink clusters as universal profiles for the formation/annihilation of multikink configurations.
]]> http://www-math.umd.edu/research/seminars.html Mon, 04 Nov 2024 15:00:00 EST Where: Kirwan Hall 1311
Speaker: Jiwoong Jang (UMD) -
Abstract: In this talk, we present a discrete coagulation-fragmentation equation when the two effects are balanced. A Hamilton-Jacobi equation is derived through the Bernstein transform. By analyzing this equation together with a power series, we discuss the existence and uniqueness of mass-conserving solutions to the coagulation-fragmentation equation according to the initial mass. Large-time behavior and equilibria of the discrete model are also discussed, which exhibits different phenomena from the continuous model. This is joint work with Hung V. Tran.
]]> http://www-math.umd.edu/research/seminars.html Mon, 18 Nov 2024 15:00:00 EST Where: Kirwan Hall 1311
Speaker: Seyed Abdolhamid Banihashemi (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 02 Dec 2024 15:00:00 EST Where: Kirwan Hall 1311
Speaker: Michael Rozowski (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 03 Feb 2025 15:00:00 EST Where: Kirwan Hall 1311
Speaker: () -

]]> http://www-math.umd.edu/research/seminars.html Mon, 10 Feb 2025 15:00:00 EST Where: Kirwan Hall 1311
Speaker: Dave Levermore (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 17 Feb 2025 15:00:00 EST Where: Kirwan Hall 1311
Speaker: Bowen Chen (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 10 Mar 2025 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Ethan Dudley (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 24 Mar 2025 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Michael Rozowski (UMD) -
Abstract: We will review some models of chemotaxis featuring some mechanisms that prevent overcrowding. These are variants of classical Patlak-Keller-Segel systems that model the population density of some organisms who follow a chemical signal that they themselves produce. Then, we will describe some recent results by Antoine Mellet, Inwon Kim, Yijing Wu, Jeremy Sheung-Him Wu, and myself that show, in a singular limit formally corresponding to that of a large population, that the organisms arrange themselves into a region of constant positive density. Finally, we derive mean-curvature-driven free boundary problems describing the evolution of the boundary of this region, which allows to understand the migration of the population in the limit.

]]> http://www-math.umd.edu/research/seminars.html Mon, 31 Mar 2025 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Jeffrey Kuan (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 07 Apr 2025 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Ben Goldschlager (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 14 Apr 2025 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Shiferaw Berhanu (UMD) -
Abstract: In these two lectures, we will introduce a class of non-
linear transforms called the FBI transforms (after Fourier, Bros,
and Iagolitzner) that characterize local and microlocal regularity
of functions (and distributions) in C^{\infty}, real analytic, and Gevrey
spaces. If time permits, we will present applications to linear and
nonlinear pdes with complex-valued coefficients.
]]> http://www-math.umd.edu/research/seminars.html Mon, 21 Apr 2025 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Sepehr Mohammadkhani (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 28 Apr 2025 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Shif Berhanu (UMD) -
Abstract: Abstract. In these two lectures, we will introduce a class of non-
linear transforms called the FBI transforms (after Fourier, Bros,
and Iagolitzner) that characterize local and microlocal regularity
of functions (and distributions) in C∞, real analytic, and Gevrey
spaces. If time permits, we will present applications to linear and
nonlinear pdes with complex-valued coefficients.
]]> http://www-math.umd.edu/research/seminars.html Mon, 05 May 2025 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Shif Berhanu (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Mon, 12 May 2025 15:00:00 EDT Where: Kirwan Hall 1311
Speaker: Gonzalo Benavides (UMD) -

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