Results 201 to 210 of about 9,965 (268)

Bulk‐Surface Coupled PDE With an Open Boundary

Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.
ABSTRACT We study a bulk‐surface coupled Laplace system involving an embedded open boundary. The problem is reformulated as an integro‐differential equation using boundary integral representations, for which we establish existence and uniqueness of the solution.
Charles L. Epstein, Yoichiro Mori, Han Zhou   +2 more
wiley   +1 more source

Adjoint <i>L</i>-functions, congruence ideals, and Selmer groups over GL n. [PDF]

Res Number Theory
Fong HL.
europepmc   +1 more source

A Direct Approach for Detection of Bottom Topography in Shallow Water

Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.
ABSTRACT We propose a fast, stable, and direct analytic method to detect underwater channel topography from surface wave measurements, based on one‐dimensional shallow water equations. The technique requires knowledge of the free surface and its first two time derivatives at a single instant t★$t^{\star }$ above the fixed, bounded open segment of the ...
Noureddine Lamsahel, Carole Rosier
wiley   +1 more source

Adjoint propagation of error signal through modular recurrent neural networks for biologically plausible learning. [PDF]

Elife
Liu Z, Shu H, Wang L, Meng X, Wang Y, Li X, Wang W, Chen T.   +7 more
europepmc   +1 more source

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

Inverse Design of Ultrathin Metamaterial Absorber. [PDF]

Nanomaterials (Basel)
Jang E, Cho J, Kang C, Chung H.
europepmc   +1 more source

Mizohata–Takeuchi inequalities for orthonormal systems

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We establish some weighted L2$L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process, we develop a direct approach to such inequalities based on generalized Wigner distributions, complementing the Schatten space approach that is prevalent in the wider context of estimates for such orthonormal ...
Jonathan Bennett, Neal Bez, Susana Gutiérrez, Shohei Nakamura, Itamar Oliveira   +4 more
wiley   +1 more source

Structural dualities between the Schrödinger equation and its ultra-slow-light counterpart in one spatial and one temporal dimension. [PDF]

Sci Rep
Rojas J, Casanova E, Arias M.
europepmc   +1 more source

KdV limit for the Vlasov–Poisson–Landau system

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We are concerned with the fluid limit to KdV equations for the one‐dimensional Vlasov–Poisson–Landau system that describes the dynamics of ions in plasma with the electron density determined by the self‐consistent electric potential through the so‐called Boltzmann relation. Formally, it is well known that as the Knudsen number ε→0$\varepsilon \
Renjun Duan, Dongcheng Yang, Hongjun Yu
wiley   +1 more source

Inverse-designed metasurfaces for wavefront restoration in under-display camera systems. [PDF]

Nanophotonics
Jo J, Lee M, Lee S, Bae M, Kang C, Chung H.   +5 more
europepmc   +1 more source