Results 51 to 60 of about 36,515 (306)
”New Connections between dynamical systems and Hamiltonian PDEs” [PDF]
, 2010 This is a course of 8 hours on Hamiltonian PDEs: main examples, Nash-Moser IFT, tame estimates of the inverse linearzied operator, application to NLS and ...
BERTI, MASSIMILIANO
core
High-resolution method for numerically solving PDEs in process engineering [PDF]
, 2008 Abrupt phenomena in modelling real-world systems indicate the\ud importance of investigating systems with deep gradients. However,\ud it is difficult to solve such systems either analytically or\ud numerically.
Zhang, Tonghua +5 more
core +1 more source
PDE-Controller: LLMs for Autoformalization and Reasoning of PDEs
CoRRWhile recent AI-for-math has made strides in pure mathematics, areas of applied mathematics, particularly PDEs, remain underexplored despite their significant real-world applications. We present PDE-Controller, a framework that enables large language models (LLMs) to control systems governed by partial differential equations (PDEs).
Mauricio Soroco +5 more
openaire +3 more sources
Advanced Functional Materials, EarlyView.Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska +5 more
wiley +1 more source
Advanced Materials, EarlyView.Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
wiley +1 more source
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
Hamiltonian PDEs: new connections between dynamical systems and PDEs with small divisors phenomena [PDF]
, 2008 Many partial differential equations arising in physics can be seen as infinite dimensional Hamiltonian systems. Main examples are the nonlinear wave equation, the nonlinear Schrödinger equation, the beam, the membrane and the Kirkhoff equations in ...
BERTI, MASSIMILIANO
core
Numerical framework and stability analysis of the Gray-Scott model
Open Computer ScienceTuring models of pattern formation provide insight into an intriguing question in developmental biology, like how nature exhibits various structures, shapes, and organized patterns. These natural patterns include the pattern and texture on a desert dune,
Ali Ramzan, Ahmed Attique
doaj +1 more source
Applied Mathematics in Science and EngineeringIn this paper, we focus on the phenomenon of blow-up of solutions for semilinear and degenerate (time-derivative) parabolic equation systems with additional source terms.
Bariza Sidhoum +4 more
doaj +1 more source
LE-PDE++: Mamba for accelerating PDEs Simulations
CoRRPartial Differential Equations are foundational in modeling science and natural systems such as fluid dynamics and weather forecasting. The Latent Evolution of PDEs method is designed to address the computational intensity of classical and deep learning-based PDE solvers by proposing a scalable and efficient alternative.
Aoming Liang +5 more
openaire +2 more sources