Results 21 to 30 of about 1,691,019 (337)
Weak solutions with unbounded variation [PDF]
Proceedings of the American Mathematical Society, 1973 To solve a quasilinear system of hyperbolic partial differential equations with given initial data, the usual procedure is to approximate the initial data, solve the resulting problems, and show that the variation of the approximating solutions is uniformly bounded. A limiting process then can be used.
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Global solutions and decay of a nonlinear coupled system with thermo-elastic
Pesquimat, 2016 In this present work, the authors prove the existence of global solutions and the decay of nonlinear wave equation with thermo-elastic coupling give by the system of equation…..
Ricardo Fuentes Apolaya +1 more
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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
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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
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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
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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
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Local existence and uniqueness in the largest critical space for a surface growth model [PDF]
, 2010 We show the existence and uniqueness of solutions (either local or global for small data) for an equation arising in different aspects of surface growth.
Blomker, Dirk, Romito, Marco
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Weak transversality and partially invariant solutions [PDF]
Journal of Mathematical Physics, 2003 New exact solutions are obtained for several nonlinear physical equations, namely the Navier–Stokes and Euler systems, an isentropic compressible fluid system and a vector nonlinear Schrödinger equation. The solution method makes use of the symmetry group of the system in situations when the standard Lie method of symmetry reduction is not applicable.
Grundland, A. M. +2 more
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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.
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On the Burgers-Poisson Equation [PDF]
, 2016 In this paper, we prove the existence and uniqueness of weak entropy solutions to the Burgers-Poisson equation for initial data in L^1(R). Additional an Oleinik type estimate is established and some criteria on local smoothness and wave breaking for weak
Grunert, Katrin, Nguyen, Khai T.
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