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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fractal solutions of multi-component systems of dispersive evolution equations
色散演化方程 多分量系统 分形解
2023/4/27
In this talk, we investigate the fractalization phenomena for the multi-component systems of the dispersive evolution equations on a bounded interval subject to the periodic boundary conditions. The e...
SECOND ORDER CORRECTIONS TO MEAN FIELD EVOLUTION FOR WEAKLY INTERACTING BOSONS, I
SECOND ORDER equation
2015/10/15
Inspired by the works of Rodnianski and Schlein [31]
and Wu [34, 35], we derive a new nonlinear Schr¨odinger equation
that describes a second-order correction to the usual tensor product (mean-ʂ...
Stability of solutions to some evolution problem
Dissipative dynamical systems Lyapunov stability evolution problems
2011/1/21
Large time behavior of solutions to abstract differential equations is studied.
Schramm Loewner Evolution and Liouville Quantum Gravity
Schramm Loewner Evolution Liouville Quantum Gravity
2011/2/24
We conformally weld (via “quantum zipping”) two boundary arcs of a Liouville quantum gravity
random surface to generate a random curve called the Schramm-Loewner evolution (SLE). We develop a theory ...
A weak Harnack inequality for fractional evolution equations with discontinuous coefficients
weak Harnack inequality Moser iterations fractional derivativ weak solutions
2010/12/13
We study linear time fractional diffusion equations in divergence form of time order less than one. It is merely assumed that the coefficients are measurable and bounded, and that they satisfy a unifo...