Results 21 to 30 of about 113,433 (127)

The linear quadratic regulator problem for a class of controlled systems modeled by singularly perturbed Ito differential equations [PDF]

, 2012
Link to a related website: https://digital.library.adelaide.edu.au/dspace/bitstream/2440/77907/1/hdl_77907.pdf, Open Access via UnpaywallThis paper discusses an infinite-horizon linear quadratic (LQ) optimal control problem involving state- and control ...
Shi, Peng, Mukaidani, Hiroaki, Dragan, V., Mukaidani, H., Dragan, Vasile, Shi, P.   +5 more
core   +1 more source

Higher order energy expansions for some singularly perturbed Neumann problems [PDF]

, 2003
We consider the following singularly perturbed semilinear elliptic problem: \epsilon^{2} \Delta u - u + u^p=0 \ \ \mbox{in} \ \Omega, \quad u>0 \ \ \mbox{in} \ \ \Omega \quad \mbox{and} \ \frac{\partial u}{\partial \nu} =0 \ \mbox{on} \ \partial \
Winter, M, Juncheng Wei, Wei, Juncheng, Winter, Matthias, Matthias Winter, Wei, J   +5 more
core   +1 more source

Symmetry of Nodal Solutions for Singularly Perturbed Elliptic Problems on a Ball [PDF]

, 2004
In [40], it was shown that the following singularly perturbed Dirichlet problem \ep^2 \Delta u - u+ |u|^{p-1} u=0, \ \mbox{in} \ \Om,\] \[ u=0 \ \mbox{on} \ \partial \Om has a nodal solution u_\ep which has the least energy among all nodal solutions.
Winter, M, Juncheng Wei, Matthias Winter, Matthias Winter, Juncheng Wei, Wei, J   +5 more
core   +1 more source

Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]

, 2000
We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, Changfeng, Winter, M, Wei, Juncheng, Winter, Matthias, Juncheng Wei, Matthias Winter, Changfeng Gui, Gui, C, Wei, J   +8 more
core   +1 more source

Singularly Perturbed Problems: Asymptotic Analysis and Approximate Solution

, 2022
This book collects papers from the Special Issue "Singularly Perturbed Problems: Asymptotic Analysis and Approximate Solution", published in Axioms. These papers cover different aspects of singular perturbation theory and its applications: axiomatic ...

core   +1 more source

An Algebraic Study of Parametric Stokes Phenomena

Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley   +1 more source

Higher-Order Energy Expansions and Spike Locations [PDF]

, 2004
We consider the following singularly perturbed semilinear elliptic problem: (I)\left\{ \begin{array}{l} \epsilon^{2} \Delta u - u + f(u)=0 \ \ \mbox{in} \ \Omega, \\ u>0 \ \ \mbox{in} \ \ \Omega \ \ \mbox{and} \ \frac{\partial u}{\partial \nu}
Winter, M, Wei, J
core   +1 more source

Boundary Value Problem of Magnetically Insulated Diode: Existence of Solutions and Complex Bifurcation

Известия Иркутского государственного университета: Серия "Математика"
The paper focuses on the stationary self-consistent problem of magnetic insulation for a vacuum diode with space-charge limitation, described by a singularly perturbed Vlasov-Maxwell system of dimension 1.5. The case of insulated diode when the electrons
D.N. Sidorov, A. V. Sinitsyn, O. D. T. Leguizamon, L. Wang   +3 more
doaj   +1 more source

Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability

Studies in Applied Mathematics, Volume 155, Issue 5, November 2025.
ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
wiley   +1 more source

Neural Ordinary Differential Equations for Model Order Reduction of Stiff Systems

International Journal for Numerical Methods in Engineering, Volume 126, Issue 12, 30 June 2025.
ABSTRACT Neural Ordinary Differential Equations (ODEs) represent a significant advancement at the intersection of machine learning and dynamical systems, offering a continuous‐time analog to discrete neural networks. Despite their promise, deploying neural ODEs in practical applications often encounters the challenge of stiffness, a condition where ...
Matteo Caldana, Jan S. Hesthaven
wiley   +1 more source