Results 1 to 10 of about 49,603 (311)
Weak solutions for quasilinear degenerate parabolic systems
Electronic Journal of Differential Equations, 2006 This paper concerns the initial Dirichlet boundary-value problem for a class of quasilinear degenerate parabolic systems. Due to the degeneracies, the problem does not have classical solutions in general.
Zheng'an Yao, Wenshu Zhou
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On viscosity and weak solutions for non-homogeneous p -Laplace equations
Advances in Nonlinear Analysis, 2017 In this manuscript, we study the relation between viscosity and weak solutions for non-homogeneous p-Laplace equations with lower-order term depending on x, u and ∇u{\nabla u}.
Maria Medina, Pablo Ochoa
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Global and nonglobal weak solutions to a degenerate parabolic system
Journal of Mathematical Analysis and Applications, 2006 This paper deals with a degenerate parabolic system coupled via general reaction terms of power type. Global weak solutions are obtained by means of energy estimates and the De Giorgi's technique.
Peidong Lei, Sining Zheng
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Nonuniqueness of weak solutions to the Navier-Stokes equation
Annals of Mathematics, 2019 For initial datum of finite kinetic energy, Leray has proven in 1934 that there exists at least one global in time finite energy weak solution of the 3D Navier-Stokes equations. In this paper we prove that weak solutions of the 3D Navier-Stokes equations
Tristan Buckmaster, Vlad Vicol
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, 2021 Weak solutions, of variational inequality type, are introduced. Their defining properties can be equivalently expressed in terms of quadrature identities for subharmonic functions, or in terms of partial balayage. Some versions of inverse balayage are also discussed, this needed as a preparatory step for constructing more general Laplacian evolutions ...
Björn Gustafsson, Yu-Lin Lin
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On the solvability of Dirichlet problem for the weighted p-Laplacian [PDF]
Opuscula Mathematica, 2012 The paper investigates the existence and uniqueness of weak solutions for a non-linear boundary value problem involving the weighted \(p\)-Laplacian. Our approach is based on variational principles and representation properties of the associated spaces.
Ewa Szlachtowska
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A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters
Boundary Value Problems, 2022 By exploiting an abstract critical-point result for differentiable and parametric functionals, we show the existence of infinitely many weak solutions for nonlinear elliptic equations with nonhomogeneous boundary conditions. More accurately, we determine
Armin Hadjian, Juan J. Nieto
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Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing
Biomath, 2014 Solutions of a model reaction-diffusion system inspired by a model for hair follicle initiation in mice are constructed and analysed for the case of a one-dimensional domain.
Peter Rashkov
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Weak solutions to the time-fractional g-Bénard equations
Boundary Value Problems, 2022 The Bénard problem consists in a system that couples the well-known Navier–Stokes equations and an advection-diffusion equation. In thin varying domains this leads to the g-Bénard problem, which turns out to be the classical Bénard problem when g is ...
Khadija Aayadi +3 more
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Global Weak Solutions to the Navier-Stokes-Vlasov-Poisson System
, 2021 We consider the Navier-Stokes-Vlasov-Poisson system describing the flow of a viscous incompressible fluid containing small solid charged particles.
Khruslov, Evgeny +2 more
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