期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; ()
In this paper we consider a modified quantum Boltzmann equation with the quantum effect measured by a continuous parameter delta that can decrease fro......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; 81 (1)
Acoustic excitation of a layered sphere by N external and internal point sources is considered. The direct problem is solved by developing a T-Matrix ......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; 81 (2)
In this article we apply the machinery developed by Guo and Iyer [Valid-ity of Steady Prandtl Layer Expansions, Comm. Pure Appl. Math. (to appear) (20......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; 81 (4)
This paper studies the matrix-scaled resilient consensus problems over multi-agent networks as occurring in computer science and distributed control. ......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; 81 (3)
We are concerned with the minimal entropy conditions for one-dimensional scalar conservation laws with general convex flux functions. For such scalar ......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; 81 (3)
The aim of this note is to present the recent results by Buckmaster, Cao-Labora, and Gomez-Serrano [Smooth imploding solutions for 3D compressible flu......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; 81 (4)
We study first order differential equations with continuous almost periodic time dependence. We propose existence and global stability criteria of alm......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; 81 (3)
The article proposes a causal five-field formulation of dissipative relativistic fluid dynamics as a quasilinear symmetric hyperbolic system of second......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; ()
The aim of this text is to elucidate the oscillating patterns (see C. Cheverry [Res. Rep. Math. (2018)]) which are generated in a toroidal plasma by a......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; 81 (3)
The aim is to assess the combined effect of diffusion and dispersion on shocks in the moderate dispersion regime. For a diffusive dispersive approxima......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; ()
In this article we prove the existence of a new family of periodic solutions for discrete, nonlinear Schrodinger equations subject to spatially locali......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; ()
We investigate the properties of discretizations of advection equations on non-Cartesian grids and graphs in general. Advection equations discretized ......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; 81 (2)
We extend the scope of our recent Compensated Integrability theory, by exploiting the multi-linearity of the determinant map over Symn(R). This allows......
期刊: QUARTERLY OF APPLIED MATHEMATICS, 2023; ()
We study the mixing time of a random walk on the torus, alternated with a Lebesgue measure preserving Bernoulli map. Without the Bernoulli map, the mi......