Well posedness, large deviations and ergodicity of the stochastic 2D Oldroyd model of order one

Stochastic Processes and their Applications ◽

10.1016/j.spa.2020.01.007 ◽

2020 ◽

Vol 130 (8) ◽

pp. 4513-4562 ◽

Author(s):

Manil T. Mohan

Keyword(s):

Large Deviations ◽

Well Posedness ◽

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Well-posedness and large deviations for 2D stochastic constrained Navier-Stokes equations driven by Lévy noise in the Marcus canonical form

Journal of Differential Equations ◽

10.1016/j.jde.2021.08.035 ◽

2021 ◽

Vol 302 ◽

pp. 64-138

Author(s):

Utpal Manna ◽

Akash Ashirbad Panda

Keyword(s):

Large Deviations ◽

Canonical Form ◽

Stokes Equations ◽

Navier Stokes ◽

Lévy Noise ◽

Well Posedness ◽

Navier Stokes Equations ◽

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Stochastic 2D Hydrodynamical Type Systems: Well Posedness and Large Deviations

Applied Mathematics & Optimization ◽

10.1007/s00245-009-9091-z ◽

2009 ◽

Vol 61 (3) ◽

pp. 379-420 ◽

Author(s):

Igor Chueshov ◽

Annie Millet

Keyword(s):

Large Deviations ◽

Type Systems ◽

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Stochastic Nonlinear Schrödinger Equations Driven by a Fractional Noise. Well-Posedness, Large Deviations and Support

Electronic Journal of Probability ◽

10.1214/ejp.v12-416 ◽

2007 ◽

Vol 12 (0) ◽

pp. 848-861 ◽

Author(s):

Eric Gautier

Keyword(s):

Large Deviations ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Fractional Noise ◽

Nonlinear Schrodinger Equations

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Well-posedness of Hamilton–Jacobi equations in population dynamics and applications to large deviations

Stochastic Processes and their Applications ◽

10.1016/j.spa.2020.03.013 ◽

2020 ◽

Vol 130 (9) ◽

pp. 5453-5491

Author(s):

Richard C. Kraaij ◽

Louis Mahé

Keyword(s):

Population Dynamics ◽

Large Deviations ◽

Well Posedness ◽

Jacobi Equations

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Flux large deviations of weakly interacting jump processes via well-posedness of an associated Hamilton–Jacobi equation

Bernoulli ◽

10.3150/20-bej1281 ◽

2021 ◽

Vol 27 (3) ◽

Author(s):

Richard C. Kraaij

Keyword(s):

Large Deviations ◽

Jacobi Equation ◽

Jump Processes ◽

Well Posedness ◽

Weakly Interacting ◽

Hamilton Jacobi Equation

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Well-posedness and large deviations for the stochastic primitive equations in two space dimensions

Communications in Mathematical Sciences ◽

10.4310/cms.2012.v10.n2.a8 ◽

2012 ◽

Vol 10 (2) ◽

pp. 575-593 ◽

Author(s):

Hongjun Gao ◽

Chengfeng Sun

Keyword(s):

Large Deviations ◽

Primitive Equations ◽

Well Posedness ◽

Two Space Dimensions

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Well-posedness and Large Deviations of the Stochastic Modified Camassa-Holm Equation

Potential Analysis ◽

10.1007/s11118-016-9548-z ◽

2016 ◽

Vol 45 (2) ◽

pp. 331-354 ◽

Author(s):

Yong Chen ◽

Hongjun Gao

Keyword(s):

Large Deviations ◽

Well Posedness ◽

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Global well-posedness and large deviations for 3D stochastic Burgers equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-020-1259-z ◽

2020 ◽

Vol 71 (1) ◽

Author(s):

Rangrang Zhang ◽

Guoli Zhou ◽

Boling Guo ◽

Jianglun Wu

Keyword(s):

Large Deviations ◽

Well Posedness ◽

Burgers Equations

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Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2015.10.009 ◽

2016 ◽

Vol 29 ◽

pp. 38-57 ◽

Author(s):

Yong Chen ◽

Hongjun Gao ◽

Lili Fan

Keyword(s):

Large Deviations ◽

Integrable Equation ◽

Well Posedness ◽

Short Waves ◽

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Well-posedness and large deviations for a class of SPDEs with Lévy noise

Journal of Differential Equations ◽

10.1016/j.jde.2017.06.016 ◽

2017 ◽

Vol 263 (9) ◽

pp. 5216-5252 ◽

Author(s):

Yong Chen ◽

Hongjun Gao

Keyword(s):

Large Deviations ◽

Lévy Noise ◽

Well Posedness ◽

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