Results 21 to 30 of about 1,716,851 (287)
Modeling and analysis of a phase field system for damage and phase separation processes in solids [PDF]
, 2013 In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an elliptic system ...
Bonetti, Elena +3 more
core +3 more sources
Uniqueness of solutions for a mathematical model for magneto-viscoelastic flows
, 2017 We investigate uniqueness of weak solutions for a system of partial differential equations capturing behavior of magnetoelastic materials. This system couples the Navier-Stokes equations with evolutionary equations for the deformation gradient and for ...
Schlömerkemper, Anja, Žabenský, Josef
core +1 more source
Mathematical Modelling and Analysis, 2022 A new variational approach for a boundary value problem in mathematical physics is proposed. By considering two-field Lagrange multipliers, we deliver a variational formulation consisting of a mixed variational problem which is equivalent with a saddle ...
Mariana Chivu Cojocaru, Andaluzia Matei
doaj +1 more source
Mathematical models for erosion and the optimal transportation of sediment
, 2013 We investigate a mathematical theory for the erosion of sediment which begins with the study of a non-linear, parabolic, weighted 4-Laplace equation on a rectangular domain corresponding to a base segment of an extended landscape.
Birnir, B., Rowlett, J.
core +1 more source
Hamiltonian structure of peakons as weak solutions for the modified Camassa-Holm equation
, 2018 The modified Camassa-Holm (mCH) equation is a bi-Hamiltonian system possessing $N$-peakon weak solutions, for all $N\geq 1$, in the setting of an integral formulation which is used in analysis for studying local well-posedness, global existence, and wave
Anco, Stephen C., Kraus, Daniel
core +1 more source
Remark on regularity criteria of a weak solution to the 3D MHD equations
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We study the regularity conditions for a weak solution to 3D MHD equations in a whole space $\mathbb{R}^3$, based on the papers [C. He, Y. Wang, J. Differential Equations, 238(2007), No. 1, 1–17] and [W. Wang, J. Math. Anal. Appl., 328(2007), No. 2, 1082–
Jae-Myoung Kim
doaj +1 more source
Dimensionalities of Weak Solutions in Hydrogenic Systems
, 2006 A close inspection on the 3D hydrogen atom Hamiltonian revealed formal eigenvectors often discarded in the literature. Although not in its domain, such eigenvectors belong to the Hilbert space, and so their time evolution is well defined.
+17 more
core +2 more sources
Weak solutions to problems involving inviscid fluids
, 2015 We consider an abstract functional-differential equation derived from the pressure-less Euler system with variable coefficients that includes several systems of partial differential equations arising in the fluid mechanics.
C Audiard +14 more
core +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Despite their increased risk for functional impairment resulting from cancer and its treatments, few adolescents and young adults (AYAs) with a hematological malignancy receive the recommended or therapeutic dose of exercise per week during inpatient hospitalizations.
Jennifer A. Kelleher +8 more
wiley +1 more source
Mathematics, 2020 The paper deals with the existence of at least two non zero weak solutions to a new class of impulsive fractional boundary value problems via Brezis and Nirenberg’s Linking Theorem. Finally, an example is presented to illustrate our results.
Asma Alharbi +2 more
doaj +1 more source