Concepedia

S. N. Antont︠s︡ev

SN

59

Publications

2.2K

Citations

23

H-Index

1983

Active since

Affiliations

University of Lisbon(Current)

University of Beira Interior

Universidad de Oviedo

Lavrentyev Institute of Hydrodynamics

University of Algarve

S. N. Antont︠s︡ev is an author at University of Lisbon specializing in engineering, fluid mechanics, and physics.

Top concepts

EngineeringFluid DynamicsPhysicsNumerical SimulationNumerical AnalysisMultiphase FlowMultiscale ModelingApplied PhysicsFunctional AnalysisNavier-stokes Equations

Publications per year

1983–2021

59

Publications

59

A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions

S. N. Antont︠s︡ev, Sergey Shmarev · Nonlinear Analysis · 2004 · 289 citations

Pore Structure, Porous Medium Equations, Porosity +6

The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup

S. N. Antont︠s︡ev, Michel Chipot · SIAM Journal on Mathematical Analysis · 1994 · 145 citations

Electrical Engineering, Engineering, Heat Diffusion +6

Blow-up of solutions to parabolic equations with nonstandard growth conditions

S. N. Antont︠s︡ev, Sergey Shmarev · Journal of Computational and Applied Mathematics · 2010 · 133 citations · Full text

Parabolic Equations, Hyperbolic Conservation Law, Parabolic Equation +2

A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions

S. N. Antont︠s︡ev, Sergey Shmarev · Nonlinear Analysis · 2005 · 108 citations

Pore Structure, Porous Medium Equations, Porosity +6

Higher integrability for parabolic equations of $p(x,t)$-Laplacian type

S. N. Antont︠s︡ev, V. V. Zhikov · Advances in Differential Equations · 2005 · 106 citations · Full text

Local Weak Solutions, \Subset Q, Elliptic Equation +6

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