Results 21 to 30 of about 23,176 (145)
Solvable Nonlinear Evolution PDEs in Multidimensional Space [PDF]
, 2006 A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schr\"odinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type.
Calogero, Francesco, Sommacal, Matteo
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Oscillations and secondary bifurcations in nonlinear magnetoconvection [PDF]
, 1993 Complicated bifurcation structures that appear in nonlinear systems governed by partial differential equations (PDEs) can be explained by studying appropriate low-order amplitude equations.
A. M. Rucklidge +13 more
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Rigorous numerics for PDEs with indefinite tail: existence of a periodic solution of the Boussinesq equation with time-dependent forcing [PDF]
, 2015 We consider the Boussinesq PDE perturbed by a time-dependent forcing. Even though there is no smoothing effect for arbitrary smooth initial data, we are able to apply the method of self-consistent bounds to deduce the existence of smooth classical ...
Czechowski, Aleksander +1 more
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Bifurcations of periodic orbits with spatio-temporal symmetries [PDF]
, 1997 Motivated by recent analytical and numerical work on two- and three-dimensional convection with imposed spatial periodicity, we analyse three examples of bifurcations from a continuous group orbit of spatio-temporally symmetric periodic solutions of ...
A M Rucklidge +20 more
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Accurately model the Kuramoto--Sivashinsky dynamics with holistic discretisation [PDF]
, 2005 We analyse the nonlinear Kuramoto--Sivashinsky equation to develop accurate discretisations modeling its dynamics on coarse grids. The analysis is based upon centre manifold theory so we are assured that the discretisation accurately models the dynamics ...
A. J. Roberts +3 more
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Portopulmonary hypertension practice patterns after liver transplantation
Liver Transplantation, EarlyView., 2022 Abstract Portopulmonary hypertension (POPH) is a type of pulmonary arterial hypertension occurring exclusively in those with portal hypertensive liver disease. Liver transplantation (LT) can significantly improve outcomes. Current guidelines counsel against immediate adjustments to targeted therapy after LT and suggest routine echocardiography as ...
Arun Jose +3 more
wiley +1 more source
Localized bases for finite dimensional homogenization approximations with non-separated scales and high-contrast [PDF]
, 2010 We construct finite-dimensional approximations of solution spaces of divergence form operators with $L^\infty$-coefficients. Our method does not rely on concepts of ergodicity or scale-separation, but on the property that the solution space of these ...
Owhadi, Houman, Zhang, Lei
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Results in Physics, 2020 Our aim in this article to constructed the new solitary wave solutions of (2+1)-dim nonlinear Nizhnik-Novikov-Vesselov equation by novel approach which is extended modified rational expansion method.
Mujahid Iqbal +3 more
doaj +1 more source
Transitions From Monotonicity to Chaos in Gas Mixture Dynamics in Pipeline Networks
PRX Energy, 2023 The blending of hydrogen generated using clean energy into natural gas pipeline networks is proposed in order to utilize existing energy systems for their planned lifetimes while reducing their reliance on fossil fuels.
Luke S. Baker +2 more
doaj +1 more source
Quasi-periodic solutions to nonlinear PDEs
Advanced Studies in Pure Mathematics, 2019 We present recent developments in the theory of quasi-periodic solutions to nonlinear PDEs, such as the nonlinear Schrodinger and the nonlinear Klein-Gordon equations. These solutions hold in arbitrary dimensions, and the quasi-periodicity can be either in time or space.
openaire +2 more sources