Results 11 to 20 of about 5,428 (96)
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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Three-Scale Singular Limits of Evolutionary PDEs [PDF]
, 2018 Singular limits of a class of evolutionary systems of partial differential equations having two small parameters and hence three time scales are considered.
Cheng, Bin +2 more
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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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Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane [PDF]
, 2010 We address some global solvability issues for classes of smooth nonsingular vector fields $L$ in the plane related to cohomological equations $Lu=f$ in geometry and dynamical systems. The first main result is that $L$ is not surjective in $C^\infty(\R^2)$
De Leo, Roberto +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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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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Minimal continuum theories of structure formation in dense active fluids
, 2012 Self-sustained dynamical phases of living matter can exhibit remarkable similarities over a wide range of scales, from mesoscopic vortex structures in microbial suspensions and motility assays of biopolymers to turbulent large-scale instabilities in ...
Bär, Markus +3 more
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A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation [PDF]
, 2017 We linearize the Einstein-scalar field equations, expressed relative to constant mean curvature (CMC)-transported spatial coordinates gauge, around members of the well-known family of Kasner solutions on $(0,\infty) \times \mathbb{T}^3$.
Rodnianski, Igor, Speck, Jared
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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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