QUASI-LINEAR SECOND-ORDER PARABOLIC EQUATIONS WITH MANY INDEPENDENT VARIABLES

From MaRDI portal
Publication:5719596

DOI10.1070/rm1961v016n05ABEH004114zbMath0112.32604OpenAlexW2024516900MaRDI QIDQ5719596

Stanislav Kruzhkov, Olga A. Oleinik

Publication date: 1961

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1961v016n05abeh004114



Related Items

Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations, On some energy inequalities and supnorm estimates for advection-diffusion equations in \(\mathbb R^n\), Sturm attractors for quasilinear parabolic equations, Boundary value problems for turbulence model equations, Existence, uniqueness, and stability of generalized solutions of an initial-boundary value problem for a degenerating quasilinear parabolic equation, Integrability and continuity of solutions to double divergence form equations, On connections between generalized solutions of PDEs of the first order, Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions, Fundamental solution and Cauchy problem for a parabolic system with unbounded coefficients, A multilevel Monte Carlo finite difference method for random scalar degenerate convection–diffusion equations, Nonuniqueness and multi-bump solutions in parabolic problems with the \(p\)-Laplacian, Geometric perturbation theory and travelling waves profiles analysis in a Darcy-Forchheimer fluid model, Sturm attractors for fully nonlinear parabolic equations, The well-posedness of a free boundary problem for Burgers' equation, Behavior at the boundary of solutions of quasilinear parabolic equations, On a Stein method based approximation for a two-dimensional Markov chain, Local regularity for quasi-linear parabolic equations in non-divergence form, Existence and uniqueness of solutions of surface reconstruction problem, Input-to-state stability with respect to boundary disturbances for a class of semi-linear parabolic equations, Thermal capacity and boundary regularity, Examples of parabolic problems with blowing-up derivatives, On the steady Prandtl type equations with magnetic effects arising from 2D incompressible MHD equations in a half plane, Convergence of an operator splitting method on a bounded domain for a convection-diffusion-reaction system, Qualitative behaviour of solutions of stochastic reaction-diffusion equations, On stabilisation of solutions of the Cauchy problem for parabolic equations, The Cauchy problem for a combustion model in a porous medium with two layers, On solutions to nonlinear reaction-diffusion-convection equations with degenerate diffusion, Hydrodynamic limit for a boundary driven stochastic lattice gas model with many conserved quantities, Unnamed Item, A necessary and sufficient condition for the existence of an interface in flows through porous media, Multivalued equations for granular avalanches, A remark on the global solvability of the Cauchy problem for quasilinear parabolic equations, Asymptotic results for injection of reactive solutes from a three-dimensional well, The Dynamics of Rotating Waves in Scalar Reaction Diffusion Equations, Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term, Singular Solutions of the Heat Equation with Absorption, Nonlinear diffusion in population genetics, Global existence and decay properties of solutions for some degenerate quasilinear parabolic systems modelling chemotaxis, Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems, On Stefan's problem occurring in the theory of powder burning, Unnamed Item, Sturm attractors for quasilinear parabolic equations with singular coefficients, Local behavior of solutions of quasilinear parabolic equations, Regulation of Renewable Resource Exploitation, The Cauchy problem for a nonlinear first order partial differential equation, Classical solution for a nonlinear hybrid system modeling combustion in a multilayer porous medium, On the existence of a generalized solution to the first initial-boundary value problem for a nonlinear parabolic equation, On the range of validity of a simple wave approximation of a non-linear set of diffusive wave equations, LYAPUNOV FUNCTIONALS IN SINGULAR LIMITS FOR PERTURBED QUASILINEAR DEGENERATE PARABOLIC EQUATIONS, On a fluid model of neutron star, On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes, Pushed travelling waves in an initial-boundary value problem for fisher type equations, Stability of conservation laws with discontinuous coefficients, Existence of global solution for reaction-diffusion systems with density dependent diffusion, Travelling waves in an initial-boundary value problem, Composite structure of global unbounded solutions of nonlinear heat equations with critical Sobolev exponents, Example of zero viscosity limit for two-dimensional nonstationary Navier- Stokes flows with boundary