Keywords: primary; 35K50; 35B40; secondary; 35K55; 35K57; Blowup solution; Blowup profile; Stability; Semilinear parabolic system;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 35K50; 35J55; secondary; 35K65; 35K57; Quasilinear reaction diffusion systems; Upper and lower solutions; Weak and classical solutions; Asymptotic behavior; Lotka-Volterra models;
Keywords: 15B38; 15B51; 35F45; 35K50; 05C50; 05C90; 82C20; 05C21; Transport on networks; Perron-Frobenius theory; Digraphs; Line graphs; Reducible matrices; Imprimitive matrices; C0-semigroups;
Keywords: Carrying capacity driven diffusion; Global attractivity; System of partial differential equations; Competition; Coexistence; Semi-trivial equilibria; 92D25; 35K57; 35K50; 37N25;
Keywords: 35K55; 35K57; 35K45; 35K50; 92C15; 92C17Hyperbolic balance laws; Chemotaxis; Initial–boundary value problem; Classical solution; Global well-posedness; Long-time behavior
Keywords: 35K40; 35K50; 35K57; 35K65Periodic-parabolic cooperative system; Temporal degeneracy; Spatial degeneracy; Long-time behavior; Positive periodic solutions; Principal eigenvalue
Keywords: 335K55; 35K57; 35K45; 35K50; 92C15; 92C17; 92B99Non-existence; Heterogeneous steady state; Volume-filling chemotaxis model; Logistic growth
Discrete Morse flow for Ricci flow and porous medium equation
Keywords: Discrete Morse flow; Ricci flow; Porous medium equation; Conical singularities; 53C44; 35K50; 93C55;
Regularity for the evolution of p-harmonic maps
Keywords: primary; 35D10; secondary; 35D05; 35B65; 35K50; 35K65; p-Laplacian system; p-Harmonic map heat flow; p-Harmonic map; Regularity; Monotonicity estimate;
Construction and stability of blowup solutions for a non-variational semilinear parabolic system
Keywords: primary; 35K50; 35B40; secondary; 35K55; 35K57; Blowup solution; Blowup profile; Stability; Semilinear parabolic system;
Construction of type II blowup solutions for the 1-corotational energy supercritical wave maps
Keywords: primary; 35K50; 35B40; secondary; 35K55; 35K57; Wave maps; Blowup solution; Blowup profile; Stability;
Quenching for a parabolic equation with variable coefficient modeling MEMS technology
Keywords: MEMS; Variable coefficient; Quenching; Stationary solution; 35B33; 35K50; 35K55; 35K63;
Lotka systems with directed dispersal dynamics: Competition and influence of diffusion strategies
Keywords: Lotka system; Diffusion strategy; Global attractivity; Competition; Coexistence; Semi-trivial equilibria92D25; 35K57 (primary); 35K50; 37N25
Variational approach for a class of cooperative systems
Keywords: 35K40; 35K50; 35K57; 35K65Coexistence states; Cooperative systems; Variational methods; Non-local problems
Global existence of solutions of the liquid crystal flow for the Oseen–Frank model in R2R2
Keywords: 35K50; 35Q30Liquid crystals flow; Navier–Stokes equations
Blow up rate for a porous medium equation with power nonlinearity
Keywords: 35K65; 35K50; Porous medium equation; Blow up rate; Cauchy problem;
Generic hyperbolicity of stationary solutions for a reaction–diffusion system
Keywords: 35B40; 35E99; 35K50; 35K57Reaction–diffusion system; Stationary solutions; Hyperbolic equilibrium; Generic properties
On a prey–predator reaction–diffusion system with Holling type III functional response
Keywords: 35K50; 35K55; 35K57; 65M70
Critical exponents for porous medium systems coupled via nonlinear boundary flux
Keywords: 35K50; 35K65; 35B33Porous medium equation; Critical global existence curve; Critical Fujita curve; Nonlinear boundary flux
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
The porous medium equation in a two-component domain
Keywords: 35K55; 35K50; 35B05Nonlinear diffusion; Contact condition; Free boundary; Cauchy problem
Comparison of the Bénard convection problem with its linearized problem
Keywords: 35B40; 35K50; 35Q35Decay bounds; Differential inequality; Stability; Bénard convection
Critical curves of the non-Newtonian polytropic filtration equations coupled with nonlinear boundary conditions
Keywords: 35K50; 35K55; 35K65; 35B33; Non-Newtonian polytropic filtration equations; Nonlinear boundary conditions; Global existence and blow-up; Critical curves;
Qualitative properties for solutions of reaction-diffusion parabolic systems and their gradients
Keywords: 35K50; 35B50; Nonlinear parabolic systems; Maximum principle; Decay bounds;
The critical curve for a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux
Keywords: 35K50; 35K55; 35K65; 35B33; Non-Newtonian polytropic equations; Nonlinear boundary flux; Global existence; Blow-up; Critical curve;
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
The effects of heat exchange and fluid production on the ignition of a porous solid
Keywords: 80A25; 35K50; 35K57; 35J55Porous solid ignition; Dual temperature; Fluid production; Nonlinear parabolic; Global existence; Blowup; Steady states
Metasolutions in cooperative systems
Keywords: 35K40; 35K50; 35K57; 35K65Metasolutions; Population Dynamics; Cooperative systems
Mathematical models of tumour angiogenesis
Keywords: 35K50; 35M10; 35R25; 92C45Tumour angiogenesis; Othmer–Stevens model; Parabolic–ODE system; Collapse; Anderson–Chaplain model
Modeling coopetition
Keywords: 35K50; 91D25; 91B62; 92D25Competition; Cooperation; Alliances; Segregation; Biodiversity
The global attractor of a competitor–competitor–mutualist reaction–diffusion system with time delays
Keywords: 35K57; 35K50; 34K20Reaction–diffusion system; Asymptotic behavior; Positive solutions; Global attraction; Time delays; Upper and lower solutions
Global existence and blow-up of solutions to a nonlocal quasilinear degenerate parabolic system
Keywords: 35K65; 35K50; 35K57; 35A07Quasilinear degenerate parabolic system; Nonlinear source; Global existence; Blow-up
A complete classification of simultaneous blow-up rates
Keywords: 35K50; 35B40; 35K60Blow-up rates; Parabolic system; Nonlinear boundary conditions
Energy bounds in nonstandard problems for parabolic systems
Keywords: 35K50; 35B30; Parabolic systems; Nonstandard problems; Energy bounds;
Velocity selection in 3D dendrites: Phase field computations and microgravity experiments
Keywords: 68Q10; 82C24; 74N05; 35K50; Dendritic growth; Phase field equations; Parallel computing; Microgravity experiments; 3D solidification calculation;
Neumann problem for reaction-diffusion systems with nonlocal nonlinear sources
Keywords: 35K50; 35K60; Diffusion system; Nonlocal source; Global existence and blowup; Blow-up estimates;
The solvability of some chemotaxis systems
Keywords: 35B40; 35K50; Solvability; Chemotaxis; Quasi-linear;
On a system of nonlinear PDE's for phase transitions with vector order parameter and convective effect
Keywords: 35R70; 35K50; 74N30; Nonlinear PDE's; Existence of solutions; Subdifferential; Yosida approximation; Hysteresis; Vector order parameter; Convection;
Boundedness vs. blow-up in a chemotaxis system
Keywords: 35K50; 35K57; 35K60; 92C17; Chemotaxis; Global existence; Blow-up in finite or infinite time; Critical blow-up exponent;