Results 11 to 20 of about 87 (84)
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.
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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
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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
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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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
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Dynamical Optical Structure Solutions of the Time‐Fractional Chen‐Lee‐Liu Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.In this article, we utilize the conformable fractional (CF) derivative to investigate the analytically innovative soliton solutions for the time‐fractional nonlinear perturbed Chen‐Lee‐Liu (CLL) equation in optical fibers. An essential governing equation in nonlinear optics, the perturbed CLL model describes the propagation of ultrashort pulses in ...
Shah Muhammad +4 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Parabolic partial equations, particularly the Black–Scholes equation, are fundamental in mathematical finance for option pricing and risk management. Despite their widespread use, efficiently solving these equations remains a challenge, especially in complex financial scenarios.
Hadis Azin +2 more
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Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
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Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
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