Results 11 to 20 of about 2,327 (64)
The nonlinear Schrödinger equation on the half-line with homogeneous Robin boundary conditions. [PDF]
Proc Lond Math Soc, 2023 Abstract We consider the nonlinear Schrödinger equation on the half‐line x⩾0$x \geqslant 0$ with a Robin boundary condition at x=0$x = 0$ and with initial data in the weighted Sobolev space H1,1(R+)$H^{1,1}(\mathbb {R}_+)$. We prove that there exists a global weak solution of this initial‐boundary value problem and provide a representation for the ...
Lee JM, Lenells J.
europepmc +2 more sources
Traveling Wave Solutions to the Free Boundary Incompressible Navier‐Stokes Equations
Communications on Pure and Applied Mathematics, Volume 76, Issue 10, Page 2474-2576, October 2023., 2023 Abstract In this paper we study a finite‐depth layer of viscous incompressible fluid in dimension n≥2, modeled by the Navier‐Stokes equations. The fluid is assumed to be bounded below by a flat rigid surface and above by a free, moving interface. A uniform gravitational field acts perpendicularly to the flat surface, and we consider the cases with and ...
Giovanni Leoni, Ian Tice
wiley +1 more source
On fractional semidiscrete Dirac operators of Lévy–Leblond type
Mathematische Nachrichten, Volume 296, Issue 7, Page 2758-2779, July 2023., 2023 Abstract In this paper, we introduce a wide class of space‐fractional and time‐fractional semidiscrete Dirac operators of Lévy–Leblond type on the semidiscrete space‐time lattice hZn×[0,∞)$h{\mathbb {Z}}^n\times [0,\infty )$ (h>0$h>0$), resembling to fractional semidiscrete counterparts of the so‐called parabolic Dirac operators.
Nelson Faustino
wiley +1 more source
Communications on Pure and Applied Mathematics, Volume 75, Issue 12, Page 2685-2801, December 2022., 2022 Abstract This manuscript constructs global in time solutions to master equations for potential mean field games. The study concerns a class of Lagrangians and initial data functions that are displacement convex, and so this property may be in dichotomy with the so‐called Lasry–Lions monotonicity, widely considered in the literature.
Wilfrid Gangbo, Alpár R. Mészáros
wiley +1 more source
Journal of the London Mathematical Society, Volume 106, Issue 2, Page 590-661, September 2022., 2022 Abstract Given a generic stable strongly parabolic SL(2,C)$\operatorname{SL}(2,\mathbb {C})$‐Higgs bundle (E,φ)$({\mathcal {E}}, \varphi )$, we describe the family of harmonic metrics ht$h_t$ for the ray of Higgs bundles (E,tφ)$({\mathcal {E}}, t \varphi )$ for t≫0$t\gg 0$ by perturbing from an explicitly constructed family of approximate solutions ...
Laura Fredrickson +3 more
wiley +1 more source
Self‐adjoint and Markovian extensions of infinite quantum graphs
Journal of the London Mathematical Society, Volume 105, Issue 2, Page 1262-1313, March 2022., 2022 Abstract We investigate the relationship between one of the classical notions of boundaries for infinite graphs, graph ends, and self‐adjoint extensions of the minimal Kirchhoff Laplacian on a metric graph. We introduce the notion of finite volume for ends of a metric graph and show that finite volume graph ends is the proper notion of a boundary for ...
Aleksey Kostenko +2 more
wiley +1 more source
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 The Black‐Scholes model is well known for determining the behavior of capital asset pricing models in the finance sector. The present article deals with the Black‐Scholes model via the Caputo fractional derivative and Atangana‐Baleanu fractional derivative operator in the Caputo sense, respectively.
Saima Rashid +4 more
wiley +1 more source
, 2012 In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
core +1 more source
Information Transmission using the Nonlinear Fourier Transform, Part I: Mathematical Tools
, 2014 The nonlinear Fourier transform (NFT), a powerful tool in soliton theory and exactly solvable models, is a method for solving integrable partial differential equations governing wave propagation in certain nonlinear media.
Kschischang, Frank R. +1 more
core +1 more source
No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
Asian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi +3 more
wiley +1 more source