Keywords: primary; 35K59; 35B35; secondary; 35K20; 35B50; 35B51; Quasilinear parabolic equations; Exponential rate of convergence; Maximum principle; Comparison principle; Aggregation in population dynamics; Perona-Malik model;
مقالات ISI (ترجمه نشده)
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Keywords: 35K59; 35Q92; 65G20; 65N35; Rigorous numerics; Cross-diffusion; Steady states; Eigenvalue problem; Spectral analysis; Fixed point argument;
Keywords: primary; 35K58; 35K59; 35K90; 35B40; secondary; 35Q35; 76D05; Semilinear parabolic equations; Quasilinear parabolic equations; Critical spaces; Navier-Stokes equations; Vorticity equations; Scaling invariance;
Keywords: 35B35; 35B45; 35K20; 35K59; 35K65; 35K92; Quasilinear parabolic equation; Growing nonlinearity; Moser's method;
Keywords: 35K59; 35K35; 47H05; Porous media equations; Cahn-Hilliard systems; Subdifferential operators;
Keywords: 35R09; 45K05; 35J60; 35J62; 35J70; 35K59; 47G20; 35D40; 35A01; 35B51; 35B40; Nonlocal quasilinear equations; Infinity-Laplace; p-Laplace; Viscosity solutions; Well-posedness; Local limits;
Keywords: 35A02; 35B30; 35B35; 35B53; 35D30; 35J15; 35K59; 35K65; 35L65; 35R09; 35R11; Uniqueness; Distributional solutions; Nonlinear degenerate diffusion; Porous medium equation; Stefan problem; Fractional Laplacian; Nonlocal operators; Existence; Stability; Loca
Keywords: Phase-field model; Cahn-Hilliard equation; Butler-Volmer kinetics; Intercalation; Lithium-ion battery; Finite-volume method; 35K59; 65M08; 65M12; 74N25; 82B26; 82C26;
Keywords: 82D40; 35K59; 35R15Landau–Lifshitz–Bloch; Quasilinear parabolic equation; Ferromagnetism
Keywords: 35K57; 35K59; 35B45; 92D25Reaction–diffusion system with prey-taxis; Predator–prey model; Global existence; Boundedness; Uniform persistence
Keywords: 35K59; 35K92Quasilinear parabolic equations; Nonlinear boundary condition; Nonstandard growth; Variable exponents; De Giorgi iteration; A priori bounds
Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes
Keywords: Positivity; Finite volume; Nagumo equation; Distorted meshes; 65M08; 35K59;
Global regularity of parabolic p-Laplace equations on convex domains
Keywords: 35B65; 35K20; 35K59; Intrinsic scaling; Barrier function; Vitali covering;
Weak Harnack estimates for supersolutions to doubly degenerate parabolic equations
Keywords: primary; 35K65; 35K92; 35B65; secondary; 35K59; 35B45; Parabolic potential theory; Weak supersolutions; Weak Harnack estimates; Doubly degenerate parabolic equations; Expansion of positivity;
A lower bound on the blow up time for solutions of a chemotaxis system with nonlinear chemotactic sensitivity
Keywords: 35A01; 35B44; 35K51; 35K59; Nonlinear chemotaxis system; Blow up time; Global existence;
Keller-Osserman a priori estimates and the Harnack inequality for quasilinear elliptic and parabolic equations with absorption term
Keywords: 35B40; 35B45; 35J62; 35K59; Large solutions; A priori estimates; Quasilinear elliptic and parabolic equations; Harnack inequality;
Weak solutions of the Shigesada-Kawasaki-Teramoto equations and their attractors
Keywords: 35K59; 35B40; 92D25; Strongly coupled reaction diffusion system; Quasi-linear parabolic equations; Weak global attractor;
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions
Keywords: 35K55; 35K59; 82C26; Quasi-linear Allen-Cahn equation; Dynamic boundary conditions; Non-smooth energy functional; Initial-boundary value problem; Well-posedness; Continuous dependence;
Boundedness of solutions to a quasilinear parabolic–elliptic Keller–Segel system with logistic source
Keywords: 92C17; 35K55; 35K59; 35K20Boundedness; Chemotaxis; Global existence; Logistic source
Boundedness and global existence in the higher-dimensional parabolic-parabolic chemotaxis system with/without growth source
Keywords: primary; 35K59; 35K51; 92C17; secondary; 35B44; 35A01; Chemotaxis systems; Growth source; Characterizations; Boundedness; Global existence;
Probabilistic interpretation for a system of quasilinear parabolic partial differential equation combined with algebra equations
Keywords: 60H10; 35K59; 35C99Forward–backward stochastic differential equation; Monotonicity condition; Parabolic partial differential equation; Viscosity solution
A weighted quasilinear equation related to the mean curvature operator
Keywords: 35K59; 35K93Weighted quasilinear heat equation; Positive steady states; Dynamics
Cauchy problem for fast diffusion equation with localized reaction
Keywords: 35B33; 35K59; 35K67; Fast diffusion; Localized reaction; Blow-up; Global existence; Fujita exponent; Blow-up rate; Blow-up set;
Convergence in a quasilinear parabolic equation with Neumann boundary conditions
Keywords: 35K59; 35B40; 35B27; 35B10Parabolic equation; Neumann boundary condition; Periodic solution; Periodic traveling wave