Partial Differential Equations in Applied MathematicsThis paper presents a new macroscopic traffic flow model formulated as a system of nonlinear partial differential equations that incorporates fuel-price sensitivity and behavioural adaptation of drivers.
Gabriel Obed Fosu +2 more
doaj +1 more source
Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis. [PDF]
J Math Biol, 2023 Lu MJ, Hao W, Hu B, Li S.
europepmc +1 more source
Regularity of Solutions of Burgers' Equation with Globally Stabilizing Nonlinear Boundary Feedback
, 2007 We consider the viscous Burgers equation under recently proposed nonlinear boundary conditions which guarantee global asymptotic stabilization and semiglobal exponential stabilization in H 1 sense.
In L, Andras Balogh, Miroslav Krstic
core
Existence of extremals for stability of nonlocal Sobolev inequality
Advanced Nonlinear StudiesThis paper is devoted to quantitative refinements of the nonlocal Sobolev inequality with explicit determination of stability constants. In the single-bubble regime, we rigorously prove that the optimal stability constantcHLS=infu∈D1,2(RN)\M‖∇u‖L2(RN)2 ...
Zhang Qian
doaj +1 more source
Spatio-Temporal SIR Model with Robin Boundary Condition and Automatic Lockdown Policy. [PDF]
Int J Appl Comput Math, 2023 Elamraoui O, Essoufi EH, Zafrar A.
europepmc +1 more source
One-Dimensional Transport Equations With Discontinuous Coefficients
, 1998 We consider one-dimensional linear transport equations with bounded but possibly discontinuous coefficient a. The Cauchy problem is studied from two different points of view. In the first case we assume that a is piecewise continuous.
F. James, F. Bouchut
core
A low-cost, sensitive and specific PCR-based tool for rapid clinical detection of HLA-B*35 alleles associated with delayed drug hypersensitivity reactions. [PDF]
HLA, 2022 Li Y +5 more
europepmc +1 more source
Superlensing using complementary media and reflecting complementary media for electromagnetic waves
Advances in Nonlinear Analysis, 2018 In this paper, we present the proof of superlensing an arbitrary object using complementary media and we study reflecting complementary media for electromagnetic waves. The analysis is based on the reflecting technique and new results on the compactness,
Nguyen Hoai-Minh
doaj +1 more source
Mass conservative reaction-diffusion systems describing cell polarity. [PDF]
Math Methods Appl Sci, 2021 Latos E, Suzuki T.
europepmc +1 more source
Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids
Advanced Nonlinear Studies, 2017 The generalized Forchheimer flows are studied for slightly compressible fluids in porous media with time-dependent Dirichlet boundary data for the pressure. No restrictions are imposed on the degree of the Forchheimer polynomial. We derive, for all time,
Hoang Luan T., Kieu Thinh T.
doaj +1 more source