Results 1 to 10 of about 5,645 (111)
A Kam Theorem for Space-Multidimensional Hamiltonian PDE [PDF]
, 2016 We present an abstract KAM theorem, adapted to space-multidimensional hamiltonian PDEs with smoothing non-linearities. The main novelties of this theorem are that: $\bullet$ the integrable part of the hamiltonian may contain a hyperbolic part and as a ...
Eliasson, L Hakan +2 more
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Renormalisation of parabolic stochastic PDEs [PDF]
, 2018 We give a survey of recent result regarding scaling limits of systems from statistical mechanics, as well as the universality of the behaviour of such systems in so-called cross-over regimes.
Hairer, Martin
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, 2020 We propose a high-order FDTD scheme based on the correction function method (CFM) to treat interfaces with complex geometry without increasing the complexity of the numerical approach for constant coefficients.
Law, Yann-Meing +2 more
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An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations [PDF]
, 2016 The definition of partial differential equation (PDE) models usually involves a set of parameters whose values may vary over a wide range. The solution of even a single set of parameter values may be quite expensive.
Gunzburger, Max +2 more
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Fully pseudospectral time evolution and its application to 1+1 dimensional physical problems
, 2012 It was recently demonstrated that time-dependent PDE problems can numerically be solved with a fully pseudospectral scheme, i.e. using spectral expansions with respect to both spatial and time directions (Hennig and Ansorg, 2009 [15]). This was done with
Hennig, Jörg
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Travelling wave solutions in a negative nonlinear diffusion-reaction model
, 2020 We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion-reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest.
Li, Yifei +3 more
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, 1997 The integrability (solvability via an associated single-valued linear problem) of a differential equation is closely related to the singularity structure of its solutions.
A. C. Newell +53 more
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Asymptotic behavior of stochastic PDEs with random coefficients [PDF]
, 2010 We study the long time behavior of the solution of a stochastic PDEs with random coefficients assuming that randomness arises in a different independent scale.
Debussche, Arnaud, Giuseppe, Da Prato
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Stability and the Gauge Problem in Non-Perturbative Cosmology
, 2018 In this paper, we describe the first steps towards fully non-perturbative cosmology. We explain why the conventional methods used by cosmologists based on the ADM formulation are generally inadequate for this purpose and why it is advantageous instead to
Ijjas, Anna +2 more
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KdV equation under periodic boundary conditions and its perturbations
, 2013 In this paper we discuss properties of the KdV equation under periodic boundary conditions, especially those which are important to study perturbations of the equation. Next we review what is known now about long-time behaviour of solutions for perturbed
Huang, Guan, Kuksin, Sergei
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