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 2¶g¤ººtÁ¿ PDE Seminar, Myongji University ¿c¥@«­±Ð±Â Monday, March 19, 11:15¡X15:30 ¼Æ¾Ç¨t3F·|Ä³«Ç Title: Invariant Manifolds of the Steady Boltzmann Equation (1) Colloquium, ¤¤¿³¤j¾ÇÀ³¥Î¼Æ¾Ç¨t §õ´ô¤Ñ±Ð±Â Thursday, March 22, 16:10¡X17:00 ¼Æ¾Ç¨t3174 Title: The Poset Ramsey Number Abstract: ºK­nPDF Colloquium, «ÌªF¤j¾ÇÀ³¥Î¼Æ¾Ç¨t §d¶i³q±Ð±Â Wednesday, March 28, 16:10¡X17:00 ¼Æ¾Ç¨t3174 Title: On the CR Reilly Formula Abstract: In this talk, we derive the CR Reilly¡¦s formula and its applications to studying of the first eigenvalue estimate for CR Dirichlet eigenvalue problem, embedded p-minimal hypersurfaces and CR Minkowski¡¦s inequality. In particular, we obtain the first Dirichlet eigenvalue estimate in a compact pseudohermitian manifold with boundary, the first eigenvalue estimate of the tangential sublaplacian on closed oriented embedded p-minimal hypersurfaces in a closed pseudohermitian manifold of vanishing torsion, and the CR Minkowski¡¦s inequality for convex body with boundary immersed in a pseudohermitian manifold with some curvature conditions. This is a joint work with Shu-Cheng Chang, Chih-Wei Chen and Yen-Chang Huang. Colloquium, ¤¤¥¿¤j¾Ç¼Æ¾Ç¨t ¨ô«Ø§»±Ð±Â Thursday, April 12, 16:10¡X17:00 ¼Æ¾Ç¨t3174 Title: A Numerical Algorithm for Blow-up Problem Abstract: In many evolution equations, solutions may become unbounded in finite time. This phenomenon is often called blow-up and the finite time is called the blow-up time. To numerically reproduce the finite-time blow-up phenomenon, schemes with adaptive time meshes were considered to be necessary. Since the numerical blow-up time is defined by an infinite sum, which implies that one needs to compute infinite times to achieve blow-up, this method cannot be carried out in real computation. As a consequence, we propose an algorithm accomplished by schemes with uniform time meshes for the computation of blow-up solutions. In this talk, we are concerned with a question: to what extent can this algorithm be applied to compute the blow-up solutions and reproduce the blow-up behavior?

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 °ê¥ß¦¨¥\¤j¾Ç¼Æ¾Ç¨t 70101 ¥x«n¥«¤j¾Ç¸ô¤@¸¹ ¹q¸Ü¡J(06) 2757575 Âà 65100   ¶Ç¯u¡J(06) 2743191 em65100[at]email.ncku.edu.tw