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Part of the motivation of this paper comes from the recent paper [W. Guo and H.-Z. Zhou, SIAM J. Control Optim., 57 (2019), pp. 1890–1928], where an adaptive control approach was used to estimate in r...
The focus of this presentation is the spectral (in-)stability of periodic waves for the electronic Euler-Poisson system, a hydrodynamical model for understanding electron dynamics in plasmas. It is fo...
We consider the incompressible Euler equations in two or three dimensions and we show that the addition of a suitable multiplicative It? noise with superlinear growth prevents a smooth solution from b...
Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is an outstanding open problem. In this talk, we will first review recent progress in singu...
Compressible Euler equations are a typical system of hyperbolic conservation laws, whose solution forms shock waves in general. It is well known that global BV solutions of system of hyperbolic conser...
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
The formal limit of the one-dimensional Vlasov-Poisson-Landau (VPL) system in the combined small Knudsen and quasineutral regimes gives the compressible Euler system. In the talk I will present a rece...
This talk will survey some results for the two- or three-space dimensional compressible Euler equations. We shall present non-uniqueness results of weak entropy solutions using convex integration and ...
We provide a natural interpretation of the secondary Euler characteristic and generalize it to higher Euler characteristics. For a compact oriented manifold of odd dimension, the secondary Euler char...
We adopt a non-oscillatory central scheme, first presented in the context of Hyperbolic conservation laws in [nessyahu-tadmor] followed by [jiang-tadmor], to the framework of the incompressible Eule...
The Convergenceof an Euler Approximation of an Initial ValueProblemIs Not Always Obvious.

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