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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...
A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations
Shallow water equations Nozzle flow equations Discontinuous topography well-balanced scheme surface gradient method Shock capturing
2012/8/8
A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations 。
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...
Generalized T-Q relations and the open spin-s XXZ chain with nondiagonal boundary terms
Generalized T-Q relations the open spin-s XXZ chain nondiagonal boundary terms Mathematical Physics
2012/6/21
We consider the open spin-s XXZ quantum spin chain with nondiagonal boundary terms. By exploiting certain functional relations at roots of unity, we derive a generalized form of T-Q relation involving...
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...
Interpretation of percolation in terms of infinity computations
Interpretation of percolation terms of infinity computations General Physics
2012/5/28
In this paper, a number of traditional models related to the percolation theory has been considered by means of new computational methodology that does not use Cantor's ideas and describes infinite an...
Ultrasolitons: multistability and subcritical power threshold from higher-order Kerr terms
Ultrasolitons multistability and subcritical power threshold higher-order Kerr terms Pattern Formation and Solitons
2012/4/27
We show that an optical system involving competing higher-order Kerr nonlinearities can support the existence of ultrasolitons, namely extremely localized modes that only appear above a certain thresh...
Air pollution studies in terms of PM2.5, PM2.5-10, PM10, lead and black carbon in urban areas of Antananarivo - Madagascar
Air pollution studies terms of PM2.5 black carbon urban areas of Antananarivo Madagascar Atmospheric and Oceanic Physics
2012/4/20
Atmospheric aerosols or particulate matters are chemically complex and dynamic mixtures of solid and liquid particles. Sources of particulate matters include both natural and anthropogenic processes. ...
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...
Effect of finite terms on the truncation error of Mie series
finite terms truncation error Mie series
2012/2/29
The finite sum of the squares of the Mie coefficients is very useful for addressing problems of classical light scattering. An approximate formula available in the literature, and still in use today, ...
Incorporating Forcing Terms in Cascaded Lattice-Boltzmann Approach by Method of Central Moments
Incorporating Forcing Terms Cascaded Lattice-Boltzmann Approach Central Moments
2012/2/29
Cascaded lattice-Boltzmann method (Cascaded-LBM) employs a new class of collision operators aiming to improve numerical stability. It achieves this and distinguishes from other collision operators, su...