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Stochastic differential equations (SDEs) driven by Brownian motion W and an additional deterministic path η of low regularity (so called "mixed SDEs") have been well-studied.
Moreover, we present a sufficient condition which guarantees the existence of low regularity solutions for the generalized Camassa-Holm equation by the method of energy estimate.
We prove a global existence result with initial data of low regularity, and prove the trend to the equilibrium for the Vlasov Poisson Fokker Planck system with small non-linear term but with a possibly large exterior confining potential in dimension d= 2 and d="3.
The commission also criticized the Civil Aviation Administration for not conducting investigations following the reports of low regularity and the incidents in 1988 and 1989.
Emergency meetings were being held between SAS Commuter and the ministry by June 1990 because of low regularity and many cancellations.
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The regularity of Hofmannsthal's meter only aggravates the problem.
Age: Depends on the regularity of your fridge turnover.
Regularity conditions and proof of (i) of Theorem 2.1.
In Section 2, we first recall the standard definition of weak solutions to the MHD system and give a stability results for the low regularity of the driving force, then we exploit it and show the existence of weak solutions for system (1.5 - 1.8 1.5 - 1.8ixed (irregular) force.
For the low regularity of space in which we study the weak solutions and weakly compact priori estimates of the approximate solutions, we use the method in [17] to improve the weak convergence to strong convergence.
While there were initially many customers, the lack of sufficient deicing caused low regularity and fewer customers through the season.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com