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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The category BC in terms of the Fargues–Fontaine curve
Pythagorean-Hodograph曲线 BC类别 [LB18， §5-7]
2023/5/5
Cover [LB18, §5-7]. Explain the key results and ideas clearly.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： The category BC in terms of the Fargues–Fontaine curve
法格-枫丹曲线 BC类别 [LB18， §5-7]
2023/5/6
Cover [LB18, §5-7]. Explain the key results and ideas clearly.
Traveling waves for the Keller-Segel system with Fisher birth terms
Chemotaxis Traveling waves Keller-Segel system Reaction diffusion systems Nonlinear stability
2015/7/14
We consider the traveling wave problem for the one dimensional Keller-Segel system with a birth term of either a Fisher/KPP type or with a truncation for small population densities. We prove that ther...
The Appearance of Noise Terms in Modified Adomian Decomposition Method for Quadratic Integral Equations
Modified Adomian Decomposition method Quadratic integral equation The noise Terms
2013/1/30
In this paper, we apply the modified Adomian Decomposition Method to get the numerical solutions of Quadratic integral equations. The appearance of noise terms in Decomposition Method was investigated...
Formulating Szemeredi's Theorem in Terms of Ultrafilters
Formulating Szemeredi's Theorem Terms of Ultrafilters Functional Analysis
2012/6/21
Van der Waerden's theorem asserts that if you color the natural numbers with, say, five different colors, then you can always find arbitrarily long sequences of numbers that have the same color and th...
Parabolic equations with dynamical boundary conditions and source terms on interfaces
parabolic equation quasilinear parabolic problem mixed boundary condition dynamical boundary condition maximal parabolic Lp-regularity
2012/6/19
We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported on a lower dimensional hypersurface, enforcing a jump in the conormal derivative. Only minimal regul...
Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary
Partial differential equations on infinite-dimensional spaces asymptotic behavior of solutions attractors singular perturbations concentrating terms
2012/4/17
We analyze the dynamics of the flow generated by a nonlinear parabolic problem when some reaction and potential terms are concentrated in a neighborhood of the boundary. We assume that this neighborho...
A nonlinear elliptic problem with terms concentrating in the boundary
Semilinear elliptic equations nonlinear boundary conditions singular elliptic equations upper semicontinuity concentrating terms
2012/4/17
In this paper we investigate the behavior of a family of steady state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a $\epsilon$-neigh...
On a 3D isothermal model for nematic liquid crystals accounting for stretching terms
3D isothermal model nematic liquid crystals Analysis of PDEs
2011/9/15
Abstract: The present contribution investigates the well-posedness of a PDE system describing the evolution of a nematic liquid crystal flow under kinematic transports for molecules of different shape...
On the enumeration of three-rowed standard Young tableaux of skew shape in terms of Motzkin numbers
three-rowed standard Young tableaux Combinatorics
2011/9/15
Abstract: The enumeration of standard Young tableaux (SYTs) of shape {\lambda} can be easily computed by the hook-length formula. In 1981, Amitai Regev proved that the number of SYTs having at most th...
Local and global behaviour of nonlinear equations with natural growth terms
Quasilinear equations natural growth terms Wolff potentials discrete Carleson measures
2011/9/5
Abstract: This paper concerns a study of the pointwise behaviour of positive solutions to certain quasi-linear elliptic equations with natural growth terms, under minimal regularity assumptions on the...
The geometry of embedded pseudo-Riemannian surfaces in terms of Poisson brackets
pseudo-Riemannian manifolds embedded surfaces Poisson brackets
2011/8/25
Abstract: Arnlind, Hoppe and Huisken showed how to express the Gauss and mean curvature of a surface embedded in a Riemannian manifold in terms of Poisson brackets of the embedding coordinates. We gen...
If Experts Converge on the Same Answer are they Less Creative than Beginners? Redefining Creativity in Terms of Adaptive Landscapes
adaptive landscape affordances artistic versus scientific creativity constraints topologies
2011/7/6
The standard view that creativity entails both originality and appropriateness leads to the
paradox that experts who converge on one optimal solution are rated as no more creative than
beginners who...
Bias terms of measurement error in treatment by expected estimating equations
Estimating equations Bias Measurement error
2010/11/1
Inference for the effect of treatment on an outcome often suffers from the unavailability of valid measurements of treatment. Due to this, systematic errors in measurements of treatment occur frequent...
On the Efetov-Wegner terms by diagonalizing a Hermitian supermatrix
Efetov-Wegner diagonalizing a Hermitian supermatrix
2010/11/9
The diagonalization of Hermitian supermatrices is studied. Such a change of coordinates is inevitable to find certain structures in random matrix theory. However it still poses serious problems since ...