Frontiers in Applied Mathematics and Statistics

Original Research

Published on 16 Oct 2026

An explicit Eulerian vortex solution of the compressible Euler equations at large Mach numbers resolves the classical problem of turbulence

in Mathematical Physics

Sergey G. Chefranov
Artem S. Chefranov

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1963448

251 views

Hypothesis and Theory

Published on 14 Oct 2026

A rank-three integral boundary closure hypothesis for electromagnetic and baryonic scalar evaluations

in Mathematical Physics

Angus McCoss

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1965695

468 views

Original Research

Published on 07 Oct 2026

Learning normalized solutions of quasilinear Schrödinger operators: a constrained deep-Ritz method for the Lp-supercritical case

in Mathematical Physics

Mohammad Akram
Umar Ishtiaq
Khaleel Ahmad
Ioan-Lucian Popa

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1941372

550 views

Original Research

Accepted on 01 Oct 2026

On a Nonlocal Diffusion Problem with Mixed Neumann–Dirichlet Boundary Conditions

in Mathematical Physics

Cesar A. Gomez
Alvaro H. Salas
Juan C Hernandez

Frontiers in Applied Mathematics and Statistics

271 views

Brief Research Report

Published on 14 Sep 2026

Appell expansions and general-to-confluent Heun degeneration in a bounded recovery diffusion

in Mathematical Physics

Artur Ishkhanyan
Clemente Cesarano
Khachatur Baboyan

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1956515

653 views

Original Research

Accepted on 31 Aug 2026

Laplace–Mellin–Barnes Transform Solutions of Time-Fractional Diffusion Equations: Green Kernels, Stability Estimates, and Numerical Benchmarks

in Mathematical Physics

Alvaro H. Salas

Frontiers in Applied Mathematics and Statistics

357 views

Original Research

Published on 26 Aug 2026

Extensions and derivatives of subsymmetric functions

in Mathematical Physics

Daryna Dolishniak
Viktoriia Kravtsiv
Andriy Zagorodnyuk

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1924614

808 views

Original Research

Published on 21 Aug 2026

The pure Yang-Mills field, I: fixed time existence

in Mathematical Physics

James Glimm

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1811439

1,786 views

Curriculum, Instruction, and Pedagogy

Published on 19 Aug 2026

Physics education for the 21st century, solving analytically unsolvable differential equations

in Mathematical Physics

William Flannery

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1884678

1,292 views

Original Research

Published on 23 Jun 2026

Weak solutions of the Navier-Stokes equation and their Euler limits

in Mathematical Physics

James Glimm

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1830104

1,361 views

Original Research

Published on 29 May 2026

Nonlocal elliptic equations with mixed fractional Laplacians: stability and nonexistence results

in Mathematical Physics

Akram Al-Muraqab
Cherif Zaidi
Imed Bouzida

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1826811

1,389 views
1 citation

Brief Research Report

Published on 07 Apr 2026

Teaching-oriented modeling and numerical demonstration of Newton's law of gravitation

in Mathematical Physics

Baolu Fan
Yang Liu

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1784640

1,958 views

Original Research

Published on 18 Feb 2026

On classes of non-univalent functions influenced by the multiplicative derivative

in Mathematical Physics

Daniel Breaz
Kadhavoor R. Karthikeyan
Dharmaraj Mohankumar

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2026.1777576

1,572 views
2 citations

Original Research

Published on 01 Oct 2025

Conditions for perfect transmission of quantum particles across layered heterostructures and resonance effects of an auxiliary well potential

in Mathematical Physics

Yaroslav Zolotaryuk
Alexander V. Zolotaryuk

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1636414

3,479 views

Original Research

Published on 03 Sep 2025

Quantum adaptive search: a hybrid quantum-classical algorithm for global optimization of multivariate functions

in Mathematical Physics

Gabriele Intoccia
Ugo Chirico
Vincenzo Schiano Di Cola
Giovanni Piero Pepe
Salvatore Cuomo

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1662682

3,922 views

Original Research

Published on 11 Jul 2025

Exact optical soliton solutions and interaction dynamics in fractional nonlinear systems

in Mathematical Physics

Saleh M. Alzahrani
Chokri Chniti
Dalal Marzouq AlMutairi

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1584929

3,428 views
2 citations

Original Research

Published on 10 Jul 2025

On negative eigenvalues of 1D Schrödinger operators with δ′-like potentials

in Mathematical Physics

Yuriy Golovaty
Rostyslav Hryniv

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1615447

3,346 views
4 citations

Original Research

Published on 13 Jun 2025

Laplacian spectra and structural insights: applications in chemistry and network science

in Mathematical Physics

Ali Raza
Muhammad Mobeen Munir

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1519577

4,663 views
2 citations

Original Research

Published on 09 May 2025

Application of the Tanh–Coth and HSI methods in deriving exact analytical solutions for the STFKS equation

in Mathematical Physics

Abaker A. Hassaballa
Elzain A. E. Gumma
Ahmed M. A. Adam
Omer M. A. Hamed
Ali Satty
Mohyaldein Salih
Faroug A. Abdalla
Zakariya M. S. Mohammed

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1568757

2,958 views
5 citations

Original Research

Published on 26 Feb 2025

Mellin convolutions of products and ratios

in Mathematical Physics

Arak M. Mathai
Hans J. Haubold

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2025.1526541

2,734 views

Opinion

Published on 15 Jan 2025

The old Babylonian algorithm: reborn with a bang and its application in non-linear vibration

in Mathematical Physics

Liangyuan Zhang

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1530024

2,873 views
4 citations

Original Research

Published on 08 Jan 2025

Low Mach dynamics of interface and flow fields in thermally conducting fluids

in Mathematical Physics

Snezhana I. Abarzhi

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1517619

2,489 views

Perspective

Published on 07 Jan 2025

The connection between non-normality and trophic coherence in directed graphs

in Mathematical Physics

Catherine Drysdale
Samuel Johnson

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1512865

3,850 views
1 citation

Mini Review

Published on 02 Dec 2024

Pseudospectra and eigenvalue asymptotics for disordered non-selfadjoint operators in the semiclassical limit

in Mathematical Physics

Martin Vogel

Frontiers in Applied Mathematics and Statistics

doi 10.3389/fams.2024.1508973

3,573 views