Stochastic Euler Equations of Fluid Dynamics with Levy Noise

Abstract

In this work we prove the existence and uniqueness of pathwise solutions up to a stopping time to the stochastic Euler equations perturbed by additive and multiplicative Levy noise in two and three dimensions. The existence of a unique maximal solution is also proved.

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Document Details

Document Type
Technical Report
Publication Date
Aug 10, 2016
Accession Number
AD1038827

Entities

People

  • Manil T. Mohan
  • S. S. Sritharan

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Air Force
  • Air Force Facilities
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Electronic Mail
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Frequency Domain
  • Inequalities
  • Partial Differential Equations
  • Probability
  • Sequences
  • Stochastic Processes
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.