Results 1 to 10 of about 266 (99)

Continuity equations and ODE flows with non-smooth velocity [PDF]

, 2014
In this paper we review many aspects of the well-posedness theory for the Cauchy problem for the continuity and transport equations and for the ordinary differential equation (ODE). In this framework, we deal with velocity fields that are not smooth, but
Crippa, Gianluca, Ambrosio, Luigi
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Poisson Structures for PDEs Associated with Diffeomorphism Groups [PDF]

, 2004
We study Poisson and Lie-Poisson structures on the diffeomorphism groups with a smooth metric spray in connection with dynamics of nonlinear PDEs. In particular, we provide a precise analytic sense in which the time t map for the Euler equations of an ...
Vasylkevych, Sergiy
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New approaches to nonlinear waves

, 2016
The book details a few of the novel methods developed in the last few years for studying various aspects of nonlinear wave systems. The introductory chapter provides a general overview, thematically linking the objects described in the book. Two chapters
Tobisch, Elena
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Efficient upwind algorithms for solution of the Euler and Navier-stokes equations [PDF]

, 1995
An efficient three-dimensionasl tructured solver for the Euler and Navier-Stokese quations is developed based on a finite volume upwind algorithm using Roe fluxes. Multigrid and optimal smoothing multi-stage time stepping accelerate convergence.
McNeil, C. Y., McNeil, C
core  

On the use of tent spaces for solving PDEs: A proof of the Koch-Tataru theorem

Lecture notes with complete detailsInternational audienceIn these notes we will present (a part of) the parabolic tent spaces theory and then apply it in solving some PDE's originated from the fluid mechanics.
Vasilyev, Ioann, Auscher, Pascal
core  

A Second-Order Network Structure Based on Gradient-Enhanced Physics-Informed Neural Networks for Solving Parabolic Partial Differential Equations. [PDF]

Entropy (Basel), 2023
Sun K, Feng X.
europepmc   +1 more source

Fast automated adjoints for spectral PDE solvers. [PDF]

Proc Natl Acad Sci U S A
Skene CS, Burns KJ.
europepmc   +1 more source

Sliding physical invariant neural operator for long-term prediction of complex dynamics in physical systems. [PDF]

Natl Sci Rev
Wang Y, Li Y, Peng Y, Ying S.
europepmc   +1 more source

Hybridndiff-UQ: Uncertainty quantification for hybrid neural differentiable modeling. [PDF]

Theor Appl Mech Lett
Akhare D, Luo T, Wang JX.
europepmc   +1 more source

Competitive roles of plasticity, elasticity, and radiation in heat/mass transfer of Casson-Williamson-Maxwell nanofluid over a porous stretching sheet. [PDF]

Discov Nano
Kavitha R, Samikannu R, Ladu NSD.
europepmc   +1 more source