Keywords: 35K57; 35K45; 35K90; Reaction-diffusion equations; Sesquilinear forms; Non-autonomous evolution equations; Maximal regularity;
مقالات ISI (ترجمه نشده)
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Keywords: 92B05; 35K45; Tumor; Angiogenesis; Keller-Segel; Stability; Traveling wave; Strip;
Keywords: 35K45; 53A05; Parabolic equation; Inverse curvature flow; Non-collapsing;
Keywords: 35Q92; 35K45; 35M11; 42B37; BMOâ2s; Besov space; Well-posedness; Pseudodifferential calculus;
Keywords: 35B45; 35K45; 35Q92; 92C17; Chemotaxis; Global existence; Lyapunov functional; Adams' inequality;
Keywords: 35B25; 35K45; 35L45; 35L60Uniform global existence; Parabolic limit equations; Partially dissipative hyperbolic system; Non-conservative system; Energy estimates
Keywords: 35K55; 35K57; 35K45; 35K50; 92C15; 92C17Hyperbolic balance laws; Chemotaxis; Initial–boundary value problem; Classical solution; Global well-posedness; Long-time behavior
Keywords: 335K55; 35K57; 35K45; 35K50; 92C15; 92C17; 92B99Non-existence; Heterogeneous steady state; Volume-filling chemotaxis model; Logistic growth
Keywords: 35B40; 35K45; 92C17Chemotaxis; Logistic source; Asymptotic stability; Domain of attraction
Keywords: 35A01; 35D05; 35K45; 35K87; 49J40Existence; Parabolic systems; Parabolic minimizers; Evolutionary variational solutions; Evolutionary solutions via calculus of variations
Keywords: 35K45; 35K90; 47D60; 65M06; 65M55Numerical analysis; Operator-splitting method; Initial value problems; Iterative solver method; Nonlinear equations
Keywords: 35R11; 35B40; 35K45; Drift-diffusion-Poisson system; Fractional dissipation; Self-similar asymptotics; Large-time behavior;
Singular solutions of a superlinear parabolic equation with homogeneous Neumann boundary conditions
Keywords: primary; 35K58; secondary; 35K45; 35B33; Superlinear parabolic equation; Singular solution; Neumann boundary condition;
Existence of global bounded classical solution to a quasilinear attraction-repulsion chemotaxis system with logistic source
Keywords: 35A01; 35K45; 92C17; Attraction-repulsion; Chemotaxis; Logistic source; Global existence;
Moser-Nash kernel estimates for degenerate parabolic equations
Keywords: primary; 35K65; secondary; 35B65; 35K92; 35K45; Degenerate parabolic equations; Pointwise estimates; Harnack estimates at large; Finite speed of propagation;
Evolution of convex hypersurfaces by a fully nonlinear flow
Keywords: 35K45; 53A05Parabolic equation; Fully nonlinear curvature flow; Forced term
On a regularized family of models for the full Ericksen–Leslie system
Keywords: 35B44; 35D30; 35K45; 35Q30; 76A15Navier–Stokes equations; Euler equations; Regularized Navier–Stokes; Navier–Stokes-αα; Leray-αα; Modified-Leray-αα; Simplified Bardina; Navier–Stokes–Voigt; Ericksen–Leslie system; Nematic liquid crystals; Global attractor
Nondegeneracy of blow-up points for the parabolic Keller–Segel system
Keywords: 35B44; 35K45; 92C17Keller–Segel system; Blow-up; Nondegeneracy
Global existence and blow-up for a porous medium system with nonlocal boundary conditions and nonlocal sources
Keywords: 35K45; 74H40Porous system; Nonlocal boundary conditions; Nonlocal sources; Global existence; Finite time blow-up
Uniqueness of transverse solutions for reaction–diffusion equations with spatially distributed hysteresis
Keywords: 35K57; 35K45; 47J40Spatially distributed hysteresis; Reaction–diffusion equation; Uniqueness of solution
Local and global existence for quasilinear parabolic systems with a strongly nonlinear source
Keywords: 35K45; 35K55; Quasilinear parabolic system; Cauchy problem; Local existence; Global existence and nonexistence; Strongly nonlinear source;
Uniqueness and asymptotic behavior of coexistence states for a non-cooperative model of nuclear reactors
Keywords: 35J55; 35K45; 35K57Nuclear reactor; Coexistence state; Non-cooperative system; Asymptotic behavior; Uniqueness
Existence and nonexistence of the global solution for the semilinear parabolic system on Riemannian manifold
Keywords: 35K45; 58J35; 35D05Existence and nonexistence; Parabolic system; Riemannian manifolds
Local existence of solutions to dissipative nonlinear evolution equations with mixed types
Keywords: 35B40; 35F25; 35K45; Evolution equation; Local existence; Contraction mapping principle;
Attractor and spatial chaos for the Brusselator in RN
Keywords: 35B40; 35B41; 35B45; 35Q35; 35K45; The Brusselator; Global attractor; Spatial chaos;
Classical solutions of drift–diffusion equations for semiconductor devices: The two-dimensional case
Keywords: 35K45; 35K50; 35K55; 35K57; 78A35Initial boundary value problem; Reaction–diffusion processes; Quasi-linear parabolic systems
Well-posedness for an extended Penrose–Fife phase-field model with energy balance supplied by Dirichlet boundary conditions
Keywords: 35K45; 35K50; 35K55; 35Q72Phase transition model of Penrose–Fife type; Well-posedness; Non-homogeneous Dirichlet boundary problem
Asymptotic behavior of the solution to the non-isothermal phase separation
Keywords: 35K45; 35K55; 37L15; Non-isothermal phase separation; Penrose-Fife model; Second law of thermodynamics; Infinite dimensional dynamical system; Dual variation;
Optimal Lp(1≤p≤∞) rates of decay to linear diffusion waves for nonlinear evolution equations with ellipticity and dissipation
Keywords: 35K45; 35B40Evolution equations; Diffusion waves; Optimal decay rate
On the stability of equilibria to weakly coupled parabolic systems in unbounded domains
Keywords: 35B35; 35K45; Stable equilibria; Parabolic systems; Unbounded domains;
Phase change problems with temperature dependent constraints for the volume fraction velocities
Keywords: 35K45; 35K55; 35K90; Phase change problems; Doubly nonlinear evolution equation; Schauder's fixed point theory; Subdifferential operator;
The existence and stability of travelling waves with transition layers for some singular cross-diffusion systems
Keywords: 35B25; 35B35; 35K45; 35K55; 47A75; Existence; Stability; Travelling waves; Cross-diffusion system; Spectral analysis; Unstable bundle;
The heat flow in nonlinear Hodge theory
Keywords: 58A14; 58J35; 35J50; 35J60; 35K45; 35K55; 53C44; 76N10; Ï-Harmonic exterior forms; Nonlinear Hodge theory; Heat flow method; Exterior curvature operator; Mean curvature flow; Gas dynamics;